Article
Physics, Particles & Fields
Tzu-Chen Huang, Ying-Hsuan Lin, Sahand Seifnashri
Summary: The paper discusses the defining data of two-dimensional topological field theories (TFTs) enriched by non-invertible symmetries/topological defect lines. Simple formulae for three-point functions and lasso two-point functions are derived, and crossing symmetry is proven. The construction of regular TFTs for various fusion categories is provided, along with explanations on how non-regular TFTs can be obtained from regular TFTs through generalized gauging.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Mohamed M. Anber, Sungwoo Hong, Minho Son
Summary: We study a class of 4-dimensional SU(N) chiral gauge theories with fermions in specific representations and classify their infrared phases. By examining background fields and symmetries, we identify new anomalies and determine the possible infrared physics. If the theory confines, continuous symmetries must be broken down to anomaly-free subgroups. Anomalies associated with discrete symmetries can be saturated either by breaking the symmetry or by a symmetry-preserving topological quantum field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Philip Boyle Smith, Avner Karasik, Nakarin Lohitsiri, David Tong
Summary: In this study, we investigate two well-known SU(N) chiral gauge theories and provide a detailed description of their global symmetry and discrete quotients. Furthermore, we refute recent claims that these theories exhibit a subtle mod 2 anomaly and demonstrate an explicit path to realizing the gapless fermion phase.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Ivan M. Burbano, Justin Kulp, Jonas Neuser
Summary: In this paper, we classify the non-invertible Kramers-Wannier duality defects in the E-8 lattice Vertex Operator Algebra using DOUBLE-STRUCK CAPITAL Z(m) symmetries. We show how these defects can be systematically obtained through DOUBLE-STRUCK CAPITAL Z(2) twists of invariant sub-VOAs and compute the defect partition functions for small m. Our results are verified against other techniques. The paper takes a physical perspective and emphasizes the important moving pieces involved in the calculations. We also provide a rigorous proof that all corresponding Tambara-Yamagami actions on holomorphic VOAs can be obtained in this manner.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Mohamed M. Anber, Erich Poppitz
Summary: We study 4-dimensional gauge theories with a massless Dirac fermion in the 2-index symmetric/antisymmetric representations and find noninvertible and 1-form symmetries. Using the Hamiltonian formalism and a spatial three-torus, we construct gauge invariant operators and discover the noncommutativity between the two symmetries, indicating a mixed anomaly. This anomaly leads to a degeneracy of states in the torus Hilbert space marked by discrete electric fluxes and characterized by non-zero condensate values. We also discuss the construction of the corresponding noninvertible defect in an appendix.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Erich Poppitz, F. David Wandler
Summary: This article explicitly calculates the topological terms that arise in SU(N) gauge theories under different field conditions and the matching conclusions, mainly involving theories with Abelian 0-form symmetry. Through comparative analysis, it is pointed out that the conclusion of anomaly matching differs from the previously thought form.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Jonathan J. Heckman, Max Hubner, Ethan Torres, Xingyang Yu, Hao Y. Zhang
Summary: This research presents a topological construction of duality defects in quantum field theories, extending to lower supersymmetry cases. The QFTs of interest are realized through D3-branes probing a Calabi-Yau threefold cone with an isolated singularity, where the duality group descends to dualities of the 4D worldvolume theory. Different realizations of duality defects correspond to distinct choices of branch cut placements in the 5D bulk.
Article
Physics, Particles & Fields
Ibrahima Bah, Federico Bonetti, Enoch Leung, Peter Weck
Summary: In this paper, the global symmetries and anomalies of 4d N = 1 field theories arising from a stack of N M5-branes probing a class of flux backgrounds are analyzed. The setup defines a non-trivial superconformal field theory (SCFT) in the IR for k = 2, with a holographic dual to an explicit AdS(5) solution. By adopting anomaly inflow methods, the groundwork for a systematic analysis of the generalization to k >= 3 is laid out in this study.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Thomas Vandermeulen
Summary: In this paper, we delve into the process of resolving 't Hooft anomalies by extending the symmetry of a theory. We interpret existing prescriptions for anomaly resolution as the addition of topological operators with designated mixed anomalies, coupling the original field theory to a topological one. Our findings show that the presence of such mixed anomalies leads to a modified version of the original symmetry, allowing for an overall anomaly-free action. Furthermore, we demonstrate that the original, anomalous symmetry remains present in the theory. This analysis is applied to anomaly-resolving extensions using both ordinary and higher-form symmetries, resulting in related but qualitatively distinct stories.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Napat Poovuttikul
Summary: This study considers the hydrodynamic regime of a 2+1 dimensions QFT with the parity anomaly. It shows that the anomaly inflow mechanism, from a corresponding bulk SPT phase, along with thermodynamic consistency of equilibrium partition functions, restricts the form of non-dissipative transport coefficients, including the known form of quantised Hall conductivity and new constraints on other three non-dissipative parity-odd transport coefficients.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Mohamed M. Anber
Summary: The study focuses on the bilinear and higher-order fermion condensates in 4-dimensional SU(N) gauge theories with a single Dirac fermion in a general representation. By introducing a mixed anomaly between different symmetries, the research identifies theories that allow for higher-order condensates and zero fermion bilinears. It is shown that in theories with 2-index (anti)symmetric fermions, nonvanishing fermion bilinears are inevitable in the absence of a topological quantum field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Francesco Alessio, Glenn Barnich, Martin Bonte
Summary: The study calculates the partition function of a massless scalar field on a Euclidean spacetime manifold and discusses the generalization of high/low temperature duality, as well as the modular covariance of the partition function under different geometric conditions. The results provided by the study offer valuable insights into the properties of quantum field theory in specific backgrounds.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Kansei Inamura
Summary: This study classifies 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry using topological field theories, showing that SPT phases are classified by equivalence classes of quintuples.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ryan Thorngren, Yifan Wang
Summary: This paper discusses the impact of the 't Hooft anomaly symmetry, including the obstruction to defining symmetric boundary conditions and the results regarding gravitational anomalies. By analyzing the Wess-Zumino consistency conditions and current Ward identities, we demonstrate the obstruction to theories with perturbative anomalies.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Justin Kulp
Summary: In this short note, the authors discuss the existence of two additional fermionic unitary minimal models not covered in recent work. These models are obtained by fermionizing the Z(2) symmetry of the m = 11 and m = 12 exceptional unitary minimal models. The explanation provided clarifies why these are the only missing cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
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)
Article
Physics, Particles & Fields
Zohar Komargodski, Mark Mezei, Sridip Pal, Avia Raviv-Moshe
Summary: The paper discusses the constraints of spontaneously broken boost and dilatation symmetries in heavy states in Conformal Field Theories (CFTs), pointing out the existence of new low-lying primaries required by broken boost symmetries, and demonstrating these ideas in various states.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Davide Cassani, Zohar Komargodski
Summary: In this study, a 3d Effective Field Theory (EFT) approach was used to investigate the counting problem of BPS states in four-dimensional N = 1 theories, focusing on the microstates and phases of supersymmetric black holes in AdS(5). The existence of vector multiplet zero modes and a non-perturbative confinement mechanism were found to ensure the robustness of the results, avoiding the runaway behavior observed in previous studies.
Article
Physics, Multidisciplinary
Gabriel Cuomo, Zohar Komargodski, Avia Raviv-Moshe
Summary: This article investigates line defects in conformal field theories and reveals that the flow on these defects is irreversible, accompanied by a decreasing entropy function. The generalization of the g theorem to line defects in arbitrary dimensions is demonstrated through a flow between Wilson loops in four dimensions.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Gabriel Cuomo, Zohar Komargodski, Mark Mezei
Summary: In this study, we investigate the critical O(N) model under the influence of a localized external magnetic field. This model has the potential to be realized in quantum simulators and in certain liquid mixtures. We find that the external field triggers a defect Renormalization Group (RG) flow, resulting in a stable nontrivial defect Conformal Field Theory (DCFT) with g < 1 at long distances, in accordance with the g-theorem. Using the epsilon expansion and the large N limit, we make several predictions for the corresponding DCFT data. The analysis of the large N limit involves a new saddle point and recent advancements in AdS loop diagrams enable the study of fluctuations around it. Our results are consistent with Monte Carlo simulations and we propose several predictions that can be tested in the future.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Justin Kaidi, Kantaro Ohmori, Yunqin Zheng
Summary: We introduce a class of noninvertible topological defects in (3 + 1)D gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1 + 1)D critical Ising model. Examples include SO(3) Yang-Mills (YM) at theta = pi, N = 1 SO(3) super YM, and N = 4 SU(2) super YM at tau = i. We also introduce an analogous construction in (2 + 1)D, and give a number of examples in Chern-Simons matter theories.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Christian Copetti, Alba Grassi, Zohar Komargodski, Luigi Tizzano
Summary: We revisit the confinement/deconfinement transition in N = 4 super YangMills (SYM) theory and its relation to the Hawking-Page transition in gravity. We exhibit a phenomenon in complex matrix models called delayed deconfinement, which implies a first-order transition and shows remarkable agreement with the prediction of gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Tzu-Chen Huang, Ying-Hsuan Lin, Kantaro Ohmori, Yuji Tachikawa, Masaki Tezuka
Summary: We numerically studied an anyon chain based on the Haagerup fusion category and found evidence that it leads to a conformal field theory in the long-distance limit, with a central charge of ???2. This is the first example of a conformal field theory with truly exotic generalized symmetries.
PHYSICAL REVIEW LETTERS
(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
Yichul Choi, Kantaro Ohmori
Summary: This study investigates parameterized invertible field theories using the Atiyah-Patodi-Singer index theorem, focusing on the case of free Dirac fermions with spacetime-dependent mass parameters.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Justin Kaidi, Zohar Komargodski, Kantaro Ohmori, Sahand Seifnashri, Shu-Heng Shao
Summary: This paper examines conditions in topological quantum field theory (TQFT) related to the existence of topological boundary conditions. The study identifies necessary and sufficient conditions for the existence of a topological boundary in the case of bosonic, Abelian TQFTs and explores the conditions for non-Abelian TQFTs. The paper also discusses a curious duality in the partition functions of Abelian TQFTs.
Article
Physics, Mathematical
Konstantinos Roumpedakis, Sahand Seifnashri, Shu-Heng Shao
Summary: We discuss invertible and non-invertible topological condensation defects arising from gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime, which we define as higher gauging. The universal fusion rules of the resulting invertible and non-invertible condensation surfaces are determined. In the special case of 2+1d TQFT, every (invertible and non-invertible) 0-form global symmetry, including the Z(2) electromagnetic symmetry of the Z2 gauge theory, is realized from higher gauging. We further compute the fusion rules between the surfaces, the bulk lines, and lines that only live on the surfaces, determining some of the most basic data for the underlying fusion 2-category. We emphasize that the fusion coefficients in these non-invertible fusion rules are generally not numbers, but rather 1+1d TQFTs. Finally, we discuss examples of non-invertible symmetries in non-topological 2+1d QFTs such as the free U(1) Maxwell theory and QED.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Particles & Fields
Ying-Hsuan Lin, Masaki Okada, Sahand Seifnashri, Yuji Tachikawa
Summary: This paper investigates the case of a 2d CFT in a fusion category C, where the asymptotic density of states is proportional to (dim ρ)^2 for an irreducible representation ρ of a finite symmetry group G, even when the symmetry can be non-invertible.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)