4.4 Article

Intersecting branes, domain walls and superpotentials in 3d gauge theories

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2014)119

Keywords

Brane Dynamics in Gauge Theories; Intersecting branes models; D-branes

Funding

  1. STFC
  2. European Research Council under the European Union [STG 279943]
  3. Science and Technology Facilities Council [ST/J000434/1] Funding Source: researchfish
  4. STFC [ST/J000434/1] Funding Source: UKRI

Ask authors/readers for more resources

We revisit the Hanany-Witten brane construction of 3d gauge theories with N = 2 supersymmetry. Instantons are known to generate a superpotential on the Coulomb branch of the theory. We show that this superpotential can be viewed as arising from the classical scattering of domain wall solitons. The domain walls live on the worldvolume of the fivebranes and their existence relies on the recent observation that the charged hyper-multiplet at the intersection of perpendicular D-branes has non-canonical kinetic terms. We further show how Dp branes may be absorbed at the intersection of perpendicular D(p + 4)-branes where they appear as BPS sigma-model lumps.

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, Multidisciplinary

An introduction to resurgence, trans-series and alien calculus

Daniele Dorigoni

ANNALS OF PHYSICS (2019)

Article Physics, Multidisciplinary

Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory

Daniele Dorigoni, Michael B. Green, Congkao Wen

Summary: This study reexpresses the integrated correlator of four superconformal stress-tensor primaries of N = 4 supersymmetric SU(N) Yang-Mills theory as a two-dimensional lattice sum, which is shown to be invariant under SL (2, Z) S duality. The lattice sum is proven to satisfy a novel Laplace equation in the complex coupling constant z, connecting the SU(N) integrated correlator to those of the SU(N + 1) and SU(N - 1) theories. It accurately reproduces both perturbative and nonperturbative properties of N = 4 SYM for any finite N, as well as extending previously conjectured properties of the large-N expansion.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Particles & Fields

Poincare series for modular graph forms at depth two. Part I. Seeds and Laplace systems

Daniele Dorigoni, Axel Kleinschmidt, Oliver Schlotterer

Summary: New Poincare-series representations have been derived for infinite families of non-holomorphic modular invariant functions, including modular graph forms in the low-energy expansion of closed-string scattering amplitudes at genus one. These series are constructed from iterated integrals over single holomorphic Eisenstein series and their complex conjugates, decorated by suitable combinations of zeta values. The Poincare sums over depth-one integrals extending beyond modular graph forms are described in terms of iterated integrals over holomorphic cusp forms and their L-values in a companion paper.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Exact expressions for n-point maximal U(1)Y-violating integrated correlators in SU(N) N=4 SYM

Daniele Dorigoni, Michael B. Green, Congkao Wen

Summary: The exact expressions for integrated maximal U(1)(Y) violating (MUV) n-point correlators in SU(N) N = 4 supersymmetric Yang-Mills theory have been determined using supersymmetric localisation. These integrated correlators satisfy Laplace-difference equations and can be expressed as infinite sums of Eisenstein modular forms.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Review Physics, Multidisciplinary

The SAGEX review on scattering amplitudes*

Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey, Tristan McLoughlin, Samuel Abreu, Zvi Bern, N. Emil J. Bjerrum-Bohr, Johannes Bluemlein, Ruth Britto, John Joseph M. Carrasco, Dmitry Chicherin, Marco Chiodaroli, Poul H. Damgaard, Vittorio Del Duca, Lance J. Dixon, Daniele Dorigoni, Claude Duhr, Yvonne Geyer, Michael B. Green, Enrico Herrmann, Paul Heslop, Henrik Johansson, Gregory P. Korchemsky, David A. Kosower, Lionel Mason, Ricardo Monteiro, Donal O'Connell, Georgios Papathanasiou, Ludovic Plante, Jan Plefka, Andrea Puhm, Ana-Maria Raclariu, Radu Roiban, Carsten Schneider, Jaroslav Trnka, Pierre Vanhove, Congkao Wen, Chris D. White

Summary: This is an introduction to a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory, aiming to provide an overview of the field from basic aspects to current research and developments in 2022.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Review Physics, Multidisciplinary

The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang-Mills duals

Daniele Dorigoni, Michael B. Green, Congkao Wen

Summary: This article reviews some results of the SAGEX programme, focusing on the interplay of supersymmetry and modular covariance of scattering amplitudes in type IIB superstring theory and N = 4 supersymmetric Yang-Mills theory. The article discusses the determination of exact expressions for BPS interactions, properties of integrated correlators, and modular graph functions.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Physics, Multidisciplinary

Exact results for duality-covariant integrated correlators in N = 4 SYM with general classical gauge groups

Daniele Dorigoni, Michael B. Green, Congkao Wen

Summary: This article provides exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of N=4 supersymmetric Yang-Mills (SYM) theory, extending previous results for the SU(N) gauge group and consistent with Goddard-Nuyts-Olive duality. The action of the hyperbolic Laplace operator relates integrated correlators for different gauge groups, and perturbation expansions agree with properties from perturbative Yang-Mills quantum field theory.

SCIPOST PHYSICS (2022)

Article Physics, Particles & Fields

To the cusp and back: resurgent analysis for modular graph functions

Daniele Dorigoni, Axel Kleinschmidt, Rudolfs Treilis

Summary: Modular graph functions are important in calculating the low-energy expansion of closed-string scattering amplitudes. In this study, we investigate their properties on toroidal world-sheets and use methods from resurgent analysis to construct non-perturbative corrections for two-loop modular graph functions approaching the cusp on the moduli space. The SL(2, Z)-invariance strongly constrains the behavior of the non-perturbative sector when expanded at the origin of the moduli space.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Modular graph forms from equivariant iterated Eisenstein integrals

Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt, Martijn Hidding, Axel Kleinschmidt, Nils Matthes, Oliver Schlotterer, Bram Verbeek

Summary: In this paper, we provide validation for Brown's conjecture that equivariant iterated Eisenstein integrals contain modular graph forms beyond depth one. Through various examples and detailed explanations, we reveal the systematic nature of the dictionary and make certain elements of Brown's construction explicit to all orders.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Modular-invariant large-N completion of an integrated correlator in N=4 supersymmetric Yang-Mills theory

Daniele Dorigoni, Michael B. Green, Congkao Wen, Haitian Xie

Summary: The use of supersymmetric localisation has led to modular covariant expressions for integrated correlators of half-BPS operators in N = 4 supersymmetric Yang-Mills theory with a general classical gauge group. Generating functions for such integrated correlators have been determined, confirming previously conjectured formulae. This provides a systematic understanding of the relation between properties of these correlators at finite N and their expansions at large N, including a non-perturbative completion of the large-N expansion in terms of non-holomorphic modular functions.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

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)

Article Physics, Particles & Fields

Poincare series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms

Daniele Dorigoni, Axel Kleinschmidt, Oliver Schlotterer

Summary: In this paper, we continue the analysis of modular invariant functions subject to inhomogeneous Laplace eigenvalue equations. We find that these functions can be expressed in terms of iterated integrals of Eisenstein series and that the set of iterated integrals needs to be extended to include iterated integrals of holomorphic cusp forms in order to find expressions for all modular invariant functions of depth two.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Mathematics, Applied

Resurgent expansion of Lambert series and iterated Eisenstein integrals

Daniele Dorigoni, Axel Kleinschmidt

Summary: The text discusses special Lambert series and their role as generating functions of divisor sums, as well as determining their complete transseries expansion near rational roots of unity. It also mentions insights into the Laurent expansions and modularity properties of iterated Eisenstein integrals in the context of certain period integrals and string theory scattering amplitudes.

COMMUNICATIONS IN NUMBER THEORY AND PHYSICS (2021)

Article Mathematics, Applied

Modular graph functions and asymptotic expansions of Poincare series

Daniele Dorigoni, Axel Kleinschmidt

COMMUNICATIONS IN NUMBER THEORY AND PHYSICS (2019)

Article Physics, Multidisciplinary

The grin of Cheshire cat resurgence from supersymmetric localization

Daniele Dorigoni, Philip Glass

SCIPOST PHYSICS (2018)

No Data Available