Article
Physics, Particles & Fields
Bin Chen, Peng-xiang Hao, Reiko Liu, Zhe-fei Yu
Summary: In this work, we develop conformal bootstrap for Galilean conformal field theory, discussing the concept of multiplets, negative norm states, and the inversion formula. Through harmonic analysis and the construction of GGFT, we lay the groundwork for applying Galilean conformal bootstrap.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simeon Hellerman, Domenico Orlando, Vito Pellizzani, Susanne Reffert, Ian Swanson
Summary: This study examines the conformal dimensions of charge-Q operators in nonrelativistic conformal field theories from the perspective of the non-linear sigma model. It discusses the renormalization of edge divergences and computes the one-loop Q(0)log Q contribution to the ground-state energy in 3 spatial dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Andreas Stergiou, Gian Paolo Vacca, Omar Zanusso
Summary: This paper discusses the energy momentum tensors of higher-derivative free scalar conformal field theories and spinor theories, and describes two algorithms for their computation. The paper also presents new compact expressions for the energy momentum tensors and highlights specific obstructions to defining them as conformal primary operators in some spacetime dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Oscar Fuentealba
Summary: The asymptotic symmetries of electromagnetism in higher dimensions are extended by incorporating angle-dependent u(1) gauge transformations in the radial coordinate at spatial infinity. Strict parity conditions are imposed on the leading order fields at infinity to preserve the symplectic structure and asymptotic conditions. The theory is invariant under a six-fold set of angle-dependent u(1) transformations, with its generators forming a centrally extended abelian algebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Andrea Campoleoni, Simon Pekar
Summary: The study introduces higher-spin algebras containing a Poincare subalgebra and explores their potential as candidate rigid symmetries for higher-spin gauge theories or Carrollian conformal higher-spin symmetries. It also discusses the definition of higher-spin algebras containing a Galilean conformal subalgebra, to be interpreted as non-relativistic limits of the conformal symmetries.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami, Adithya Suresh
Summary: In this study, the spinor-helicity formalism is used to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. It is observed that the parity-even and parity-odd parts of a correlator are related in spinor-helicity variables. After converting spinor-helicity answers to momentum space, correlators involving spin-s currents can be expressed in terms of simple conformally invariant conserved structures, allowing for systematic understanding and separation of contact terms, particularly for the parity-odd case. Additionally, some of the correlators are reproduced using weight-shifting operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ibrahima Bah, Federico Bonetti, Ruben Minasian
Summary: The study analyzes the topological mass terms of BF type in supersymmetric M-theory compactifications to AdS(5) and discusses the dual field theories with distinct global discrete symmetries resulting from different choices of boundary conditions for the BF terms. It provides a detailed discussion on the 't Hooft anomalies for 4d N = 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a DOUBLE-STRUCK CAPITAL Z(2) orbifold singularity. The anomaly polynomial computation through inflow reveals background fields for discrete global 0-, 1-, and 2-form symmetries, continuous 0-form symmetries, and axionic background fields properly interpreted in the context of anomalies in the space of coupling constants.
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, Particles & Fields
Arjun Bagchi, Mangesh Mandlik, Punit Sharma
Summary: A recent careful quantisation study of the theory of closed bosonic tensionless strings has revealed three separate vacua with different critical dimensions. One vacuum imposes no constraint on the number of dimensions, while the other two lead to D = 26. This suggests that all three tensionless quantum theories can be considered as consistent sub-sectors of quantum tensile bosonic closed string theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alexander Soderberg
Summary: In a free theory, two conformal defects merging into another defect results in a non-conformal effective action. This implies that the behavior of these defects changes as we zoom in and out, challenging the ability to describe them solely in terms of other conformal defects. The fusion of defects is proven using the path integral formalism, where the defects are considered as sources for a scalar in the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida, Devon Stockal
Summary: In this study, a strong/weak duality between a Heisenberg coset with sl n subregular W-algebra symmetry and a theory with sl(n|1)-structure is examined. Correlator correspondences for a series of generalized duality are derived, as part of a project to realize duality of corner vertex operator algebras proposed by Gaiotto and Rapcak. Another type of duality involving an additional pair of fermions is also examined, which is a natural generalization of the fermionic FZZ-duality.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Omar Rodriguez-Tzompantzi
Summary: In this study, a symplectic realization of the dynamic structure of two interacting spin-two fields in three dimensions was constructed, with a new method of constraint treatment that utilizes properties of pre-symplectic two-form matrix and zero-modes. The analysis showed explicit expressions for constraints on the theory's dynamics by contracting zero-modes with the potential gradient, providing insight into the nature of constraints and gauge structure. Additionally, identification of necessary conditions for a unique non-linear candidate for a partially massless theory was made using only the model's interaction parameters.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Zhe-fei Yu, Bin Chen
Summary: In this work, the authors study the inhomogeneous BMS free fermion theory and demonstrate its connection to the BMS Ising model. They identify an anisotropic scaling symmetry in the BMS free fermion theory, which enhances the symmetry to an infinite dimensional symmetry generated by a new type of BMS-Kac-Moody algebra. The authors also show the existence of a W (2, 2, 1) structure in the operator product expansion of the currents and establish the BMS Ising model as a quantum conformal BMS3 algebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Bin Chen, Reiko Liu
Summary: In this work, we develop the shadow formalism for two-dimensional Galilean conformal field theory (GCFT(2)), establishing a relation between the principal series representation of Galilean conformal symmetry group and the Wigner classification. We also derive various important quantities such as OPE blocks, Clebsch-Gordan kernels, conformal blocks, and conformal partial waves using this formalism. Another significant finding is the introduction of additional branch points in the conformal block, potentially affecting the convergence of OPE for specific parameters. Additionally, we propose a new inversion formula and identify a continuous series of bilocal actions and an exceptional series of local actions within the mean field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Shovon Biswas, Gordon W. Semenoff
Summary: This article discusses in detail the boundary conditions for a massless Dirac fermion in 2+1 dimensions where the space is a half-plane. It is argued that linear boundary conditions generically break C P, T, Lorentz, and conformal symmetries. However, there are special cases where these symmetries can be maintained. The article also explores the exotic representations and edge ferromagnetism that arise from the edge states.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Anatoly Dymarsky, Filip Kos, Petr Kravchuk, David Poland, David Simmons-Duffin
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Petr Kravchuk
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Gabriel Francisco Cuomo, Denis Karateev, Petr Kravchuk
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Denis Karateev, Petr Kravchuk, Marco Serone, Alessandro Vichi
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Murat Kologlu, Petr Kravchuk, David Simmons-Duffin, Alexander Zhiboedov
Summary: The study introduces a nonperturbative, convergent operator product expansion (OPE) for dealing with null-integrated operators on the same null plane in a conformal field theory. The objects in the expansion are light-ray operators, which can be computed using the generalized Lorentzian inversion formula. An application of this is in collider event shapes, where the light-ray OPE provides a nonperturbative expansion for event shapes in celestial blocks.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
Summary: This paper investigates scalar primary Wightman 4-point functions in Lorentzian signature, deriving their properties solely from Euclidean unitary CFT axioms, including Wightman axioms and Lorentzian conformal invariance. The study constructsively establishes key facts about the s-channel Lorentzian OPE and provides a guide to axiomatic QFT literature for modern CFT audience.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Rajeev S. Erramilli, Luca Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin
Summary: The software blocks_3d is introduced for computing four-point conformal blocks in 3d CFTs, utilizing Zamolodchikov-like recursion relations for numerical computations. Performance benchmarks are provided for correlators with scalars, fermions, and stress tensors. As an example application, bootstrap bounds on four-point functions of fermions are recomputed to investigate a previously observed jump, concluding that the fake primary effect cannot fully explain it and suggesting further study on the possible existence of a dead-end CFT near the jump.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Cyuan-Han Chang, Murat Kologlu, Petr Kravchuk, David Simmons-Duffin, Alexander Zhiboedov
Summary: We studied the properties of the product of null-integrated local operators on the same null plane in a conformal field theory (CFT). These null-integrated operators transform similarly to primaries in a fictitious (d-2)-dimensional CFT in the directions transverse to the null integrals. We provided a complete description of the operator product expansion (OPE) in these transverse directions, where the terms with low transverse spin correspond to light-ray operators and the terms with higher transverse spin are the primary descendants. These findings are important for describing non-rotationally-symmetric states and computing multi-point energy correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Rajeev S. S. Erramilli, Luca V. V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland, David Simmons-Duffin
Summary: We perform a bootstrap analysis of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, and compare our bounds to previous analytical and numerical results, which have applications to phase transitions in condensed matter systems.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Murat Kologlu, Petr Kravchuk, David Simmons-Duffin, Alexander Zhiboedov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)