Article
Physics, Particles & Fields
Andrea Antinucci, Giovanni Galati, Giovanni Rizi
Summary: This study examines a 4d gauge theory U(1)(N-1) ? S-N, revealing the connection between higher gauging procedure and different symmetries, and exploring the complex structure of 2-category symmetry. By analyzing the spectrum of operators, a mapping with gauge invariant operators of 4d SU(N) Yang-Mills theory is found. The study suggests a relationship between the U(1)(N-1) ? S-N gauge theory and the ultraviolet limit of SU(N) Yang-Mills theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Diego H. Correa, Alberto Faraggi, Wolfgang Mueck, Leopoldo A. Pando Zayas, Guillermo A. Silva
Summary: This study investigates the two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in N = 4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. By analyzing the holographic and field theory perspectives, the behavior and efficacy of the correlators are determined.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Dmitry Chicherin, Johannes M. Henn
Summary: Null Wilson loops in N = 4 super Yang-Mills theory are dual to planar scattering amplitudes, and have hidden symmetries. By integrating over the insertion point, one can obtain information about the amplitude. The study of the Wilson loop with a Lagrangian insertion reveals its leading singularities and symmetry properties. Surprisingly, the conformal symmetry becomes an invariance when the Lagrangian insertion point is sent to infinity. The action of higher Yangian charges on the Grassmannian integral is investigated using integrability methods.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Luigi Castiglioni, Silvia Penati, Marcia Tenser, Diego Trancanelli
Summary: We study new 1/24 BPS circular Wilson loops in ABJ(M) theory, which interpolates between previously known 1/6 BPS loops and 1/2 BPS fermionic loops. Using a one-dimensional effective field theory approach, we compute the expectation values of these operators up to second order in perturbation theory. We find non-trivial β-functions for the parameters, triggering RG flows from a UV fixed point represented by the 1/6 BPS bosonic loop to an IR fixed point represented by a 1/2 BPS fermionic loop.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Hao Ouyang
Summary: Studied circular BPS Wilson loops in N = 2 superconformal n-node quiver theories at large N and strong 't Hooft coupling by computing their expectation values, leading to a conjecture for arbitrary strong couplings.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez, J. G. Russo
Summary: Exact formulas for circular Wilson loops in the N=4 and N=2* theories with gauge groups U(N) and SU(N) are derived, applicable in the limit of large k, small Yang-Mills coupling g, and any finite N. Closed analytic formulas are obtained for SU(2) and U(2) cases, while 1/k series expansions are asymptotic. Simple formulas for correlation functions between the k-symmetric Wilson loops and chiral primary operators are also provided.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Erich Poppitz, F. David Wandler
Summary: This paper studies two semiclassical limits of SU(2) Yang-Mills theory, namely femtouniverse and deformed Yang-Mills theory. By carefully defining symmetries, it is shown that the classical ground states have the same transformation properties under 1-form center symmetry and parity, despite being different. The identical multi-branch theta-dependent vacuum structure of these theories is argued to be the result of this. Additionally, the one-loop potential for S-1-holonomy in the presence of twists on T-2 is calculated and used to study the quantum stability of the semiclassical ground states in gauge theories with adjoint fermions on spatial T-2 x S-1, revealing interesting features that warrant further investigation.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Min-xin Huang, Kimyeong Lee, Xin Wang
Summary: This paper proposes a refined topological string correspondence for the expectation values of half-BPS Wilson loop operators in 5d N=1 gauge theory partition function on the Omega-deformed background. The authors provide the refined topological vertex method and the refined holomorphic anomaly equation method to compute the partition functions of 5d Wilson loops in both A- and B-models. With the exact results in the B-model, they recover the quantum periods of local P-1 x P-1 model and local P-2 model in the study of quantum geometry and give a refined generalization of A-period.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Luca Griguolo, Luigi Guerrini, Itamar Yaakov
Summary: This study investigates various aspects of BPS latitude Wilson loops in gauge theories with N >= 4 supersymmetry in three dimensions, including the derivation of a matrix model in ABJM, defining operators in theories without Chern-Simons terms, and identifying a novel dual BPS loop operator using worldvolume supersymmetric quantum mechanics.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Diego Gutiez, Carlos Hoyos
Summary: This article studies the fate of reparametrization invariance of Wilson loops under the RG flow, using large-N, strongly coupled CFTs and the holographic dual description. The results show that a cutoff in the holographic radial direction breaks conformal invariance and induces an effective defect action at the cutoff scale.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Gabriel Cuomo, Zohar Komargodski, Mark Mezei, Avia Raviv-Moshe
Summary: This paper studies line defects with large quantum numbers in conformal field theories. It first considers spin impurities in a free scalar triplet and the Wilson-Fisher O(3) model and reveals a rich phase diagram. A new semiclassical approach is developed to obtain these results. For the Wilson-Fisher model, an alternative description is proposed to study large spin impurities. Additionally, the paper also investigates Wilson lines in large representations of N = 2 superconformal field theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Pierluigi Niro, Konstantinos Roumpedakis, Orr Sela
Summary: Symmetries that leave the action invariant give rise to topological defects, which follow group-like fusion rules. By specifying a map between gauge-invariant operators on different sides of the defect, more general topological defects can be constructed. This study applies this construction to Maxwell theory in four dimensions and the free compact scalar theory in two dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Andrea Cavaglia, Nikolay Gromov, Julius Julius, Michelangelo Preti
Summary: We propose a systematic method to establish a relationship between the correlation function of operators on the curved Maldacena-Wilson line and the integrability data for the cusp anomalous dimension. The derivation requires careful treatment of UV divergences. Our method allows for deriving multiple constraints on integrals of multi-point correlation functions, connecting them with the integrability data for the generalised cusp anomalous dimension governed by the Quantum Spectral Curve. These constraints, in combination with the numerical conformal bootstrap, have been recently proven to be very powerful in providing stringent non-perturbative bounds on conformal data beyond the spectrum.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
M. Beccaria, A. Hasan
Summary: This paper discusses how to extract the strong coupling limit of non-planar corrections using the Eynard-Orantin topological recursion and saddle point treatment. Working directly at strong coupling simplifies the form of matrix model multi-point resolvents and allows for identification and rigorous proof of genus expansion structures. Additionally, novel results regarding the structure of multiple coincident circular supersymmetric Wilson loops and their correlator with single trace chiral operators are provided.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nadav Drukker, Ziwen Kong, Malte Probst, Marcia Tenser, Diego Trancanelli
Summary: In this study, we investigate the possible BPS Wilson loops in three-dimensional N = 4 Chern-Simons-Matter theory, focusing on loops involving only the gauge field and bilinears of the scalars. We classify these loops into different classes based on the number of preserved supercharges and analyze their symmetries.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Masazumi Honda, Etsuko Itou, Yuta Kikuchi, Yuya Tanizaki
Summary: We study the properties of generalized global symmetry for the charge-q Schwinger model in Hamiltonian formalism. The model exhibits Z(q) 1-form symmetry and shows the stability of states with negative string tension, which requires a sufficiently large vacuum angle theta. We develop a method based on adiabatic state preparation and confirm the results using classical simulator of quantum devices.
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Cihan Pazarba, Mithat Unsal
Summary: In the Polyakov model, a nonperturbative mass gap is formed at leading-order semiclassics by instanton effects. However, a third-order effect in semiclassics introduces an imaginary ambiguous contribution to the mass gap, which is troublesome for the original analysis. By compactifying the Polyakov model to quantum mechanics using a background ???t Hooft flux, the ambiguity in three-instanton sector is proven to cancel against the ambiguity in the Borel resummation of the perturbation theory, providing a large-order asymptotics.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Mithat Unsal
Summary: In this work, symmetry graded state sums for various non-supersymmetric theories are constructed and studied. The specific properties of these theories, such as the existence of the color-flavor center symmetry and the spontaneous breaking of chirality symmetry, are investigated.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Kenji Fukushima, Takuya Shimazaki, Yuya Tanizaki
Summary: In this paper, we investigate the theta-vacuum structure and the 't Hooft anomaly at theta = pi in a simple quantum mechanical system on S-1 to examine the applicability of the functional renormalization group (fRG) approach. We find that the fRG method can accurately reproduce the ground state energy behavior for small theta, but fails near energy level crossing. We also discuss an alternative formulation using the Villain lattice action to capture the level crossing behavior of the ground states.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yuya Tanizaki, Mithat Unsal
Summary: We construct an anomaly-preserving compactification of 4D gauge theories down to 2D by turning on 't Hooft flux through T-2. This provides a new framework to analyze nonperturbative properties and we give a semiclassical description based on the center vortex. We conjecture an adiabatic connection between weak-coupling vacuum structure on small T-2 x R-2 and strong-coupling regime on R-4.
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
(2022)
Article
Physics, Particles & Fields
Cihan Pazarbasi, Mithat Unsal
Summary: In this study, we construct a compactification of the Polyakov model to quantum mechanics on T-2 x R, which retains the non-perturbative aspects of field theory even at small areas. By introducing a background magnetic flux, we observe the appearance of N-degenerate vacua and flux changing instantons on the small torus. The reduction of the Polyakov model to quantum mechanics is compared with deformed Yang-Mills, and critical points at infinity in the semiclassical expansion are discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yui Hayashi, Yuya Tanizaki
Summary: This article studies the properties of self-duality symmetry in the Cardy-Rabinovici model. The self-duality is realized as a non-invertible symmetry due to complications in its realization, and at certain points, a mixed gravitational anomaly is detected. The article also explores how the phase diagram of the Cardy-Rabinovici model satisfies the anomaly matching condition.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yuya Tanizaki, Mithat Unsal
Summary: This study investigates quantum chromodynamics with two-index symmetric or anti-symmetric quarks (QCD(Sym/ASym)) on small R-2 x T-2 with a suitable magnetic flux. The 't Hooft anomaly of these theories is discussed, and it is claimed that discrete chiral symmetry should be completely spontaneously broken to satisfy the anomaly matching condition. The T-2 compactification with magnetic flux preserves the 't Hooft anomaly, and the 2D effective theory is constrained by the same anomaly as the 4D QCD(Sym/ASym). The spontaneous breakdown of chiral symmetry is demonstrated using the dilute gas of center vortices, confirming the prediction of the 't Hooft anomaly. It is also found that each vacuum maintains the charge conjugation symmetry, providing support for the nonperturbative large-N orientifold equivalence between QCD(Sym/ASym) and N = 1 supersymmetric SU(N) Yang-Mills theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Masazumi Honda, Etsuko Itou, Yuya Tanizaki
Summary: We numerically study the properties of the charge-q Schwinger model in the lattice Hamiltonian formulation using the density-matrix renormalization group (DMRG), and obtain results on boundary effects and the renormalization of chiral condensates.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Motokazu Abe, Okuto Morikawa, Soma Onoda, Hiroshi Suzuki, Yuya Tanizaki
Summary: In lattice compact gauge theories, the presence of magnetic operators that depend on the topological term is usually forbidden due to the admissibility condition. In this paper, we study this problem in the case of 2D compact scalars. We propose the excision method to define the magnetic operator, which involves excising lattice links in an appropriate region and defining the dual lattice. The lattice derivation of the 't Hooft anomalies and the higher-group-like structure related to the Witten effect are also presented.
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Shi Chen, Yuya Tanizaki
Summary: We find a more sophisticated algebraic structure when solitons of different dimensions coexist in the spectrum of a concrete quantum field theory. By evaluating the hopfion charge of vortex operators, we demonstrate the nonexistence of the hopfion U(1) symmetry. We clarify that what conserves hopfion numbers is a noninvertible symmetry generated by 3D spin topological quantum field theories (TQFTs).
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Motokazu Abe, Okuto Morikawa, Soma Onoda, Hiroshi Suzuki, Yuya Tanizaki
Summary: We generalize Luscher's lattice topological charge to the case of 4d SU(N) gauge fields coupled with DOUBLE-STRUCK CAPITAL Z(N) 2-form gauge fields, while maintaining locality, SU(N) gauge invariance, and DOUBLE-STRUCK CAPITAL Z(N) 1-form gauge invariance. The central role in our construction is played by the manifest 1-form gauge invariance. This result provides a lattice regularized derivation of the mixed 't Hooft anomaly in pure SU(N) Yang-Mills theory between its DOUBLE-STRUCK CAPITAL Z(N) 1-form symmetry and the & theta; periodicity.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Mendel Nguyen, Yuya Tanizaki, Mithat Unsal
Summary: To study gapped phases of 4d gauge theories, the temporal gauging of Z(N) 1-form symmetry is introduced in 4d quantum field theories, defining effective 3d QFTs with (Z) over tilde (N) x Z(N) 1-form symmetry. By assuming a mass gap and Lorentz invariant vacuum, the (Z) over tilde (N) x Z(N) symmetry must be spontaneously broken to an order-N subgroup,allowing the classification of 4d gapped phases based on the specified H. This establishes a 1-to-1 correspondence between the conventional Wilson-'t Hooft classification and the modern classification using the spontaneous breaking of 4d 1-form symmetry enriched with symmetry-protected topological states.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)