Article
Physics, Particles & Fields
Matthew T. Dowens, Chris A. Hooley
Summary: The future utility of modern numerical conformal bootstrap relies heavily on accurately predicting the existence of previously unknown non-trivial conformal field theories (CFTs). This study investigates the possibility of predicting such theories when the global symmetry group has a product structure. The results suggest that the large-N antichiral theory lies outside the region of acceptance in the chosen space of scaling dimensions, consistent with its instability.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Johan Henriksson, Ashish Kakkar, Brian McPeak
Summary: This paper explores the connection between two-dimensional conformal field theories defined by error-correcting codes and their generalization to quantum error-correcting codes at higher genus. It is proved that the higher-genus partition functions can be expressed as polynomials of higher-weight theta functions, and that the higher-genus modular group acts as simple linear transformations on these polynomials. The study shows that modular invariance at higher genus is more constraining than at genus 1 alone, leading to a drastic reduction in the space of possible code CFTs. The paper also discusses the application of the code polynomial form beyond the study of code CFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Lu-Yao Wang, Yu-Sen Zhu, Ying Chen, Bei Kang
Summary: The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed and realized by the W-representations. The compact expressions of correlators for these two-matrix models are derived in terms of the W-representations.
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
Francesco Bertucci, Johan Henriksson, Brian McPeak
Summary: This study utilizes large spin perturbation theory and the Lorentzian inversion formula to compute order-epsilon corrections to mixed correlators in the O(n) Wilson-Fisher CFT in 4 - epsilon dimensions. It determines the scaling dimensions and averaged OPE coefficients for correlators involving the operators phi and phi(2), including both the singlet and symmetric traceless representations of O(n). The study also discusses various technical aspects such as subleading corrections to mixed conformal blocks, projections onto higher twists in the inversion formula, and multiplet recombination.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Arjun Bagchi, Aritra Banerjee, Rudranil Basu, Minhajul Islam, Saikat Mondal
Summary: This paper investigates Carrollian fermions defined on generic null surfaces. Due to the existence of two different (degenerate) metrics in Carroll spacetimes, there are two possible versions of Carroll Clifford algebras. Both possibilities are considered and explicit representations of Carrollian gamma matrices are constructed. Actions for Carroll fermions are built using these gamma matrices and their properties are explored. The appearance of Carroll symmetry is shown in condensed matter systems where the dispersion relation becomes trivial and bands flatten out, such as twisted bi-layer graphene.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Oleg Antipin, Jahmall Bersini, Pantelis Panopoulos
Summary: We extend the fixed-charge semiclassical method to compute anomalous dimensions of fixed-charge scalar operators in models with Yukawa interactions. In the weakly coupled regime, we cross-check our results with perturbation theory and predict higher order terms for future comparisons. In the strongly coupled regime, we match our results to the predictions of the large-charge effective field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Jyotirmoy Mukherjee
Summary: In this study, we establish the relation between the partition functions of conformal higher spin fields on Weyl equivalent spaces in d = 4 dimension. We express the partition function of Weyl graviton and conformal higher spin fields as an integral over characters on S-1 x AdS(3), S-4, and AdS(4). We observe differences between the partition functions of conformal higher spins on hyperbolic cylinders and S-4, as well as a halved logarithmic coefficient. Additionally, we evaluate the entanglement entropy and conformal dimension of twist operators, and find a linear relation between Hofman-Maldacena variables that demonstrates the non-unitarity of the theory. Furthermore, the spectrum of quasinormal modes of conformal higher spins obtained from the bulk character contains additional distinct states compared to unitary massless higher spin fields.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Bei Kang, Lu-Yao Wang, Ke Wu, Jie Yang, Wei-Zhong Zhao
Summary: In this study, the rainbow tensor model is analyzed with the Virasoro constraints and the generalization of the W-representation method is discussed. It is shown that the model can be realized by acting on elementary functions with increasing grading operators. The compact expression of correlators is derived and applied to various models, showcasing the properties of the rainbow tensor model.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jyotirmoy Mukherjee
Summary: This article studies the properties of pseudo entropy, a new generalization of entanglement entropy, in the free Maxwell field theory in four dimensions. The study shows that the difference between the pseudo Renyi entropy and the ground state Renyi entropy changes significantly near the boundary of the subsystems and depends on the ratio of the two Euclidean times where the operators are kept.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
M. R. Setare, A. Jalali
Summary: This study investigates the non-trivial coordinate transformations and their effects on the horizon of Kerr-Bolt black holes using the covariant phase space formalism. The results provide a holographic description of Kerr-Bolt black holes in terms of warped conformal field theory.
Article
Physics, Particles & Fields
Sachin Jain, Nilay Kundu, Suman Kundu, Abhishek Mehta, Sunil Kumar Sake
Summary: This paper investigates the correlation between the parameters of alpha-vacua in De-Sitter (dS) space and the Bunch-Davies (BD) vacuum. We provide a simple prescription to compute the correlation function in alpha-vacua in terms of the correlation function of BD vacuum. Furthermore, we demonstrate that relaxing the requirement of consistency with the OPE limit allows for a connection between the correlation function in alpha-vacua and three-dimensional CFT correlation functions, which can be naturally achieved in momentum space.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kanade Nishikawa
Summary: In this paper, we systematically solve for the Fourier components of the Wightman function concerning energy and angular momentum on the SD-1 spatial slice in radial quantization in D = 2, 3 dimensions using conformal Ward Identities. These Fourier components are then used to construct conformal blocks for the four-point function in momentum space, resulting in a finite-volume version. The construction is consistent with the known result in infinite volume and may provide nontrivial constraints through bootstrap equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Francesca Caloro, Paul McFadden
Summary: In this paper, we derive parametric integral representations for the general n-point function of scalar operators in momentum-space conformal field theory. We show that all graph polynomials for this integral can be expressed using the Laplacian matrix for the simplex. Furthermore, we find an inverse parametrization using the Cayley-Menger matrix, which reveals new families of weight-shifting operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kimyeong Lee, Kaiwen Sun
Summary: In this article, we generalize the Hecke operator proposed by Harvey and Wu to 2d fermionic RCFTs and call it the fermionic Hecke operator. We find that this new operator maps the characters of a fermionic theory to the characters of another fermionic theory, and can be extended by combining characters from different sectors. We systematically study the fermionic Hecke relations among 2d fermionic RCFTs and find that almost all known supersymmetric RCFTs can be realized as fermionic Hecke images.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Diego M. Hofman, Daliang Li, David Meltzer, David Poland, Fernando Rejon-Barrera
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Alejandra Castro, Eva Llabres, Fernando Rejon-Barrera
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Mechanics
Wolfgang Bietenholz, Urs Gerber, Fernando G. Rejon-Barrera
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2013)
Proceedings Paper
Physics, Particles & Fields
Urs Gerber, Wolfgang Bietenholz, Fernando G. Rejon-Barrera
XIV MEXICAN WORKSHOP ON PARTICLES AND FIELDS
(2015)
Article
Physics, Particles & Fields
W. Bietenholz, M. Boegli, F. Niedermayer, M. Pepe, F. G. Rejon-Barrera, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2013)