Article
Physics, Particles & Fields
Robin Karlsson, Manuela Kulaxizi, Gim Seng Ng, Andrei Parnachev, Petar Tadic
Summary: This research investigates the role of Catalan numbers in the Virasoro heavy-heavy-light-light (HHLL) vacuum blocks and HHLL W-N vacuum blocks in two spacetime dimensions. It reveals that these numbers play a crucial role in the generating function equation and the correlation of stress tensor in the latter case.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Dalimil Mazac, Leonardo Rastelli, Xinan Zhou
Summary: An analytic approach to the four-point crossing equation in CFT is developed for general spacetime dimension. The study identifies a useful basis for complex analytic functions in two variables, related to double-twist operators in mean field theory. The basis of functionals appears to be closely related to the CFT dispersion relation recently derived by Carmi and Caron-Huot.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli, David Simmons-Duffin
Summary: This paper provides a unified treatment of dispersive sum rules for four-point correlators in conformal field theory. The different methods discussed in the paper can be mapped into one another, leading to completely equivalent sum rules. Non-negative sum rules are constructed above the double-twist gap.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Adam Bzowski, Paul McFadden, Kostas Skenderis
Summary: The general solution of the conformal Ward identities for scalar n-point functions in momentum space and general dimension is found, which involves integrals over (n - 1)-simplices. The correlators exhibit a recursive structure when the function of cross ratios is a monomial.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Johan Henriksson, Brian Mcpeak
Summary: This paper investigates how error-correcting codes define conformal field theories and extends their applicability. By calculating averaged observables of error-correcting codes, the partition function is obtained and shown to have special properties. The findings contribute to the understanding of the relationship between conformal field theories and error-correcting codes.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Jonah Kudler-Flam, Yuya Kusuki
Summary: Recent progress in the black hole information problem suggests that quantum information about the black hole can be found in the Hawking radiation prior to the Page time. This is demonstrated by computing the quantum fidelity in a 2D boundary conformal field theory model of black hole evaporation. The results show that an observer outside the black hole can distinguish different black holes by measuring the Hawking radiation during the evaporation process, although a large number of measurements are required. The findings are applicable to general BCFTs and have implications for thermalization in 2D conformal field theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Nathan Benjamin, Suzanne Bintanja, Alejandra Castro, Jildou Hollander
Summary: Symmetric product orbifold theories have universal features at large N, but they may exhibit strange behavior under deformations within their moduli space. By studying the symmetric product orbifold of tensor products of N = 2 super-Virasoro minimal models, we classify them based on the existence of a single-trace twisted exactly marginal operator and a sparseness condition on the growth of light states in the elliptic genera. We discover a strange variety of theories that satisfy the first criterion but exhibit Hagedorn-like growth according to the second criterion. We also find a new infinite class of theories that satisfy both criteria, which are necessary conditions for each moduli space to contain a supergravity point.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Simone Giombi, Himanshu Khanchandani, Xinan Zhou
Summary: In this study, conformal field theories on the real projective space RPd were analyzed, focusing on the two-point functions of scalar operators. Based on calculations of Witten diagrams on the quotient space AdS(d+1)/Z(2), an analytic approach to two-point functions was developed by converting the structure of conformal block decomposition into specific sum rules.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
David Meltzer
Summary: The study explores momentum space dispersion formulas in general quantum field theories and their applications in conformal field theory correlation functions. By utilizing two independent methods, it is demonstrated that quantum field theory dispersion formulas can be represented using causal commutators, with key components at four points being the same causal double-commutators. The research further shows the equivalence between momentum space dispersion formulas and CFT dispersion formulas for four-point functions, along with the relationship between Polyakov-Regge expansions associated with them through a Fourier transform.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pablo Bueno, Javier M. Magan, C. S. Shahbazi
Summary: We have found that inhomogeneous cost functions are unrelated to circuit complexity, while selecting metrics that provide the tightest possible lower bounds helps reduce the list of candidate complexity measures. Assigning infinite costs to directions not belonging to the gate set, among other methods, can reduce unnecessary calculations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Parijat Dey, Nirmalya Kajuri
Summary: This study investigates the relationship between the global/Poincare and AdS-Rindler representations in AdS(2), showing that they are related by conformal transformations. It also demonstrates the connection between global modes and AdS-Rindler modes through the Bogoliubov transformation, using boundary representations of creation and annihilation operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Shouvik Datta, Sarthak Duary, Per Kraus, Pronobesh Maity, Alexander Maloney
Summary: We revisit the proposal that the ensemble average over free boson CFTs in two dimensions is dual to an exotic theory of gravity in three dimensions dubbed U(1) gravity. Flavored partition functions, weighted by Wilson lines coupled to U(1) currents, fulfill a heat equation relating Riemann surface moduli deformations to chemical potential deformations. This leads to a Siegel-Weil formula that computes the average of these flavored partition functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Anh-Khoi Trinh
Summary: This paper investigates dispersive functionals for correlators of unequal scalar operators in conformal field theory and explores scalar particle scattering in holographic dual theory. The results show that dispersive sum rules have important physical properties, as demonstrated by the tests on the 3D Ising model.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Pawel Caputa, Shouvik Datta
Summary: In this study, the dynamics of operator growth in irrational two-dimensional conformal field theories is systematically characterized using the oscillator realization of the Virasoro algebra and CFT states. The evolution of primary operators is found to flow into the 'bath of descendants' of the Verma module, which are labeled by integer partitions and have a one-to-one map to Young diagrams. The relationship between these descendants and Young diagrams rigorously formulates operator growth as paths spreading along the Young's lattice, with quantitative features extracted and a specific path identified that saturates the conjectured upper bound on operator growth.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alexandre Belin, Diego M. Hofman, Gregoire Mathys, Matthew T. Walters
Summary: The study focuses on correlation functions involving generalized ANEC operators and extracting the algebra of these light-ray operators. A global subalgebra spanned by specific n values exists in conformal theories, while operators outside this range give rise to an infinite central term.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)