☆ 4.4 Article

Surface defects and resolvents

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Journal

JOURNAL OF HIGH ENERGY PHYSICS

Volume -, Issue 9, Pages -

Publisher

SPRINGER

DOI: 10.1007/JHEP09(2013)070

Keywords

Supersymmetric gauge theory; Nonperturbative Effects; Sigma Models

Categories

Physics, Particles & Fields

Funding

Perimeter Institute for Theoretical Physics
Government of Canada through Industry Canada
Province of Ontario through the Ministry of Economic Development and Innovation
DOE [DE-FG03-92-ER40701FG-02, DE-SC0009988]
United States-Israel Binational Science Foundation (BSF) [2010/629]

Ask authors/readers for more resources

Protocol

Community support

Reagent

Community support

Abstract

We study a large class of BPS surface defects in 4d N = 2 gauge theories. They are defined by coupling a 2d N = (2, 2) gauged linear sigma model to the 4d bulk degrees of freedom. Our main result is an efficient computation of the effective twisted superpotential for all these models in terms of a basic object closely related to the resolvent of the 4d gauge theory, which encodes the curve describing the 4d low energy dynamics. We reproduce and extend the results of brane constructions and compute the effective twisted superpotential for general monodromy surface defects. We encounter novel, puzzling field theory phenomena in the low energy dynamics of the simplest surface defects and we propose some local models to explain them. We also study in some detail the behavior of surface defects near monopole points of the bulk theory's Coulomb branch. Finally, we explore the effect on the defect of breaking the bulk supersymmetry from N = 2 to N = 1 and show that certain quantities are independent of this breaking.

Authors

I am an author on this paper

Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4

Not enough ratings

Secondary Ratings

Novelty

-

Significance

-

Scientific rigor

-

Rate this paper

Recommended

Article Physics, Particles & Fields

Local G2-manifolds, Higgs bundles and a colored quantum mechanics

Max Hubner

Summary: The study explores the 4d minimally supersymmetric gauge theories derived from M-theory on local G(2)-manifolds, focusing on ALE-fibered G(2)-manifolds and the perspective of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. It was found that Euclidean M2-brane instantons lead to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, corresponding to the instantons of a colored supersymmetric quantum mechanics. The contributions of M2-brane instantons to the 4d superpotential in the effective 7d description were computed via localization in the colored quantum mechanics, and non-split Higgs bundles were also considered for analysis of their 4d spectrum.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Stokes phenomena in 3d N=2 SQED2 and CP1 models

Dharmesh Jain, Arkajyoti Manna

Summary: In this study, a novel approach to uncovering Stokes phenomenon exhibited by the holomorphic blocks of the CP1 model is proposed by considering it as a specific decoupling limit of the SQED(2) model. By utilizing a Z(3) symmetry to transform holomorphic blocks, six pairs of SQED(2) holomorphic blocks are identified, covering the full parameter space of the SQED(2) model. These findings provide insights into the relationship between different pairs of holomorphic blocks and their associated Stokes-like regions.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Double-Janus linear sigma models and generalized reciprocity for Gauss sums

Ori J. Ganor, Hao-Yu Sun, Nesty R. Torres-Chicon

Summary: The study focuses on the supersymmetric partition function of a 2d linear sigma-model with a torus target space where the complex structure and Kahler modulus vary in different directions. By calculating the partition function in two different ways, identities relating different quadratic Gauss sums are obtained, which are part of a larger collection discovered by F. Deloup. The presence of an eighth root of unity phase in each identity is shown to be related to a Berry phase in the supersymmetric Janus-like configuration, with the complex structure varying along a semicircle in the upper half-plane as required by supersymmetry.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Partition functions and fibering operators on the Coulomb branch of 5d SCFTs

Cyril Closset, Horia Magureanu

Summary: We propose a new approach to computing the supersymmetric partition function on closed five-manifolds by introducing a non-trivial fibration over the four-manifold and examining the Coulomb branch partition function. We match the low-energy effective field theory approach to explicit one-loop computations and discuss the effects of non-perturbative particles. We also provide evidence for the validity of the Lockhart-Vafa formula for the five-sphere partition function.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Yang-Mills form factors on self-dual backgrounds

Giuseppe Bogna, Lionel Mason

Summary: The construction of perturbative quantities on non-linear backgrounds allows for the inclusion of strong field effects in perturbation theory. In this study, we continue the effort to construct QFT observables on self-dual backgrounds in Yang-Mills theory, extending previous work on amplitudes to form factors and incorporating supersymmetry. Our analysis, based on reconstruction from data at null infinity, is closely related to research on celestial and twisted holography. We explore form factors in both pure Yang-Mills and their supersymmetric counterparts in N = 4 SYM, focusing on self-dual backgrounds. Using new formulae for lifting operators to twistor space, we derive tree-level MHV form factors around these backgrounds, providing simple dressings of the corresponding form factors around the vacuum. We also discuss the potential for going beyond the MHV sector by introducing dressed versions of the MHV diagram propagator, and we explore generating functionals and dual conformal representations of the MHV all plus 1-loop amplitude.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Exact WKB and the quantum Seiberg-Witten curve for 4d N=2 pure SU(3) Yang-Mills. Abelianization

Fei Yan

Summary: In this study, we investigate the exact WKB method for the quantum Seiberg-Witten curve of 4d N = 2 pure SU(3) Yang-Mills in the language of abelianization. We explore the relevant differential equation, its solutions, and associated Stokes phenomena using the exact WKB method. Additionally, we investigate the exact quantization condition for a specific spectral problem. Our analysis also leads us to consider new Darboux coordinates on a moduli space of flat SL(3,C)-connections and numerical analysis supports the conjecture that these coordinates have asymptotic expansions given by the formal quantum periods series.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

Extremal correlators and random matrix theory

Alba Grassi, Zohar Komargodski, Luigi Tizzano

Summary: The study focuses on the correlation functions of Coulomb branch operators in four-dimensional N = 2 Superconformal Field Theories, particularly on rank-one theories. It is shown that the large charge limit of extremal correlators can be captured by a dual description of a chiral random matrix model of the Wishart-Laguerre type. This provides an analytic understanding of physics in specific excited states.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds

Tim Adamo, Anton Ilderton, Alexander J. MacLeod

Summary: For scattering amplitudes in strong background fields, it is possible to perturbatively expand the background to obtain higher-point vacuum amplitudes. In the case of self-dual plane wave backgrounds, the expansion for two-point, one-loop amplitudes in pure Yang-Mills, QED, and QCD reveals multicollinear limits of Hoop vacuum amplitudes, with only the all-plus helicity amplitude surviving. Furthermore, both abelian and non-abelian supersymmetric gauge theories show no helicity flip on any plane wave background, extending a known result in the Euler-Heisenberg limit of super-QED.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Effective gravitational couplings of higher-rank supersymmetric gauge theories

Renjan Rajan John, Sujoy Mahato, Madhusudhan Raman

Summary: The study focuses on the relationship between functions A and B of N = 2* gauge theories and topological invariants of the background, determining how multiplicative factors scale with the rank of the gauge group and the mass of the adjoint hypermultiplet through perturbative analysis.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

Exceptionally simple integrated correlators in N=4 supersymmetric Yang-Mills theory

Daniele Dorigoni, Paolo Vallarino

Summary: This work explores the application of supersymmetric localization in N = 4 supersymmetric Yang-Mills theory. By combining lattice sum representation with Goddard-Nuyts-Olive duality, a unified two-dimensional lattice sum representation applicable to all simple gauge groups is provided. Formulas are proposed for both perturbative and non-perturbative expansions for simple gauge groups and common backgrounds. In addition, new results regarding exceptional gauge groups are obtained by deriving Laplace equations for the integrated correlators.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Exact large charge in N=4 SYM and semiclassical string theory

Hynek Paul, Eric Perlmutter, Himanshu Raj

Summary: In this paper, we study a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge in four-dimensional N = 4 super Yang-Mills theory with gauge group SU(N). We show that these integrated correlators are equivalent to a one-dimensional semi-infinite lattice of harmonic oscillators with nearest-neighbor interactions, evolving over the fundamental domain of SL(2, Z). The solution is exact in the R-charge p, rank N, and complexified gauge coupling tau, allowing for a systematic and non-perturbative large charge expansion.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Bootstrapping the N=1 Wess-Zumino models in three dimensions

Junchen Rong, Ning Su

Summary: Using numerical bootstrap method, the critical exponents of minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotential W similar to dijk Phi i Phi j Phi k are determined, where the tensor d(ijk) is taken to be the invariant tensor of specific permutation or Lie groups. The study also observes super-multiplet recombination, allowing for the determination of the scaling dimension of the super-field (Phi).

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

On irregular states and Argyres-Douglas theories

Francesco Fucito, Jose Francisco Morales, Rubik Poghossian

Summary: In this paper, the authors use the AGT correspondence to derive ω-exact formulae for the partition function in the vicinity of monopole points in the Argyres-Douglas theory. The results are compared with those obtained from recursion relations and the Nekrasov-Shatashvili limit is also discussed. Additionally, the authors comment on the existence of black holes in De Sitter space described by the Argyres-Douglas theory.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Partition functions of non-Lagrangian theories from the holomorphic anomaly

Francesco Fucito, Alba Grassi, Jose Francisco Morales, Raffaele Savelli

Summary: In this paper, we use the holomorphic anomaly equation to calculate the gravitational corrections to the prepotential of certain quantum field theories. We derive a general formula for the partition function as a sum of hypergeometric functions, and provide explicit results for specific cases. These findings have implications for extremal correlators in flat space and the study of anharmonic oscillators.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Add to Collection

Article Physics, Particles & Fields

Factorized class S theories and surface defects

Behzat Ergun, Qianyu Hao, Andrew Neitzke, Fei Yan

Summary: This study proposes a method of constructing examples of factorized class S theories, using the physics of half-BPS surface defects. It successfully reproduces a known realization of N = 2 superconformal SU(2) QCD and presents explicit checks of the expected product structure of the Coulomb branch in two examples.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Vertex Operator Algebras and 3d N=4 gauge theories

Kevin Costello, Davide Gaiotto

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Physics, Mathematical

S-duality for the Large N=4 Superconformal Algebra

Thomas Creutzig, Davide Gaiotto, Andrew R. Linshaw

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)

Add to Collection

Article Mathematics

BPS spectra and 3-manifold invariants

Sergei Gukov, Du Pei, Pavel Putrov, Cumrun Vafa

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS (2020)

Add to Collection

Article Physics, Mathematical

VOA[M4]

Boris Feigin, Sergei Gukov

JOURNAL OF MATHEMATICAL PHYSICS (2020)

Add to Collection

Article Physics, Particles & Fields

Sphere correlation functions and Verma modules

Davide Gaiotto, Tadashi Okazaki

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Particles & Fields

Trialities of minimally supersymmetric 2d gauge theories

Sergei Gukov, Du Pei, Pavel Putrov

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Mathematical

Vertex Algebras for S-duality

Thomas Creutzig, Davide Gaiotto

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)

Add to Collection

Article Physics, Multidisciplinary

3d TQFTs from Argyres-Douglas theories

Mykola Dedushenko, Sergei Gukov, Hiraku Nakajima, Du Pei, Ke Ye

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2020)

Add to Collection

Article Physics, Particles & Fields

3d-3d correspondence for mapping tori

Sungbong Chun, Sergei Gukov, Sunghyuk Park, Nikita Sopenko

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Particles & Fields

Orbifold groupoids

Davide Gaiotto, Justin Kulp

Summary: The article reviews the properties of orbifold operations in two-dimensional quantum field theories and discusses the Orbifold groupoids that control the composition of orbifold operations. Three-dimensional TQFT's of Dijkgraaf-Witten type are highlighted for their important role in the analysis. The extension to generalized symmetries and applications to constrain RG flows is briefly discussed.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Integrable Kondo problems

Davide Gaiotto, Ji Hoon Lee, Jingxiang Wu

Summary: The paper discusses the integrability and wall-crossing properties of Kondo problems, presenting several examples inspired by constructions in four-dimensional Chern-Simons theory and affine Gaudin models.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Mathematical

A modified Villain formulation of fractons and other exotic theories

Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, Shu-Heng Shao

Summary: This paper reformulates known exotic theories on a Euclidean spacetime lattice, modifying them to a convenient range of parameters using the Villain approach. The new lattice models are closer to the continuum limit and exhibit properties of continuum theories, showcasing emergent global symmetries and surprising dualities. The paper clarifies the relation between condensed-matter and high-energy views of these systems, emphasizing the role of symmetries associated with the topology of field space, duality, and various anomalies.

JOURNAL OF MATHEMATICAL PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Global anomalies on the Hilbert space

Diego Delmastro, Davide Gaiotto, Jaume Gomis

Summary: We demonstrate that global anomalies can be detected by analyzing the way the symmetry algebra is realized in the torus Hilbert space of the anomalous theory. Anomalies may imply an exact bose-fermi degeneracy in the Hilbert space, revealing a supersymmetric spectrum of states.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Astronomy & Astrophysics

Near-horizon quantum dynamics of 4D Einstein gravity from 2D Jackiw-Teitelboim gravity

Sergei Gukov, Vincent S. H. Lee, Kathryn M. Zurek

Summary: We study quantum fluctuations in the light-cone metric of the 4D Einstein-Hilbert action using dimensional reduction to Jackiw-Teitelboim (JT) gravity. We show that in Einstein gravity, the causal development of a region in flat Minkowski spacetime near a horizon defined by light sheets can be described by a two-dimensional dilaton theory. By relating the quantum uncertainty of horizon's spacetime position to the original 4D light-cone coordinates, we compute the uncertainty in the travel time of a photon through a causal diamond in flat 4D Minkowski space. The fluctuation in arrival time is potentially large due to both Planck and infrared scales.

PHYSICAL REVIEW D (2023)

Add to Collection

Article Mathematics, Applied

Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks

Edward Frenkel, Davide Gaiotto

COMMUNICATIONS IN NUMBER THEORY AND PHYSICS (2020)

Add to Collection

No Data Available

© Peeref 2019-2024. All rights reserved.