Article
Physics, Particles & Fields
Tarek Anous, Alexandre Belin, Jan de Boer, Diego Liska
Summary: New asymptotic formulas for the distribution of OPE coefficients in conformal field theories are presented. These formulas, derived from crossing symmetry, involve products of multiple coefficients and introduce non-gaussianities into the statistical distribution.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Theresa Abl, Paul Heslop, Arthur E. Lipstein
Summary: This paper applies the ten-dimensional conformal symmetry and the ten-dimensional scalar effective field theory to the calculation of correlators of hypermultiplets in AdS(2) x S-2. It shows that 4-point correlators of 1/2-BPS operators on the 1-dimensional boundary can be computed using four-dimensional conformal symmetry and a four-dimensional effective action in the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Review
Physics, Multidisciplinary
Dmitry Ponomarev
Summary: This is a collection of lecture notes on the higher-spin theory course given at Lomonosov Moscow State University. The aim of these lectures is to introduce master level students to higher-spin theories and enable them to read the higher-spin literature. The topics covered include representation theory, field-theoretic descriptions, interactions and positive results on interactions of massless higher-spin fields.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2023)
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
Shouvik Datta
Summary: This study extends the concept of the Schwarzian sector in two-dimensional conformal field theories to CFTs with higher spin conserved currents, showing the agreement of partition functions in the near-extremal limit with BF higher spin gravity in AdS(2). The spectral decomposition of Schwarzian partition functions is provided via the WN fusion kernel, along with considerations of supersymmetric generalizations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Changhyun Ahn
Summary: In this paper, the operator product expansions between charged and neutral spin currents in the Grassmannian-like coset model were calculated, leading to the discovery of new spin-4 currents. The study also describes the asymptotic symmetry in the context of the structure constants' infinity limits. Additionally, the relationships between spin currents under specific conditions were analyzed in detail.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Changhyun Ahn, Man Hea Kim
Summary: In this study, the complete N = 4 higher spin algebra for general mu was determined by explicitly calculating the (anti)commutators between the N = 4 higher spin generators for low spins. It was found that the structure constants involve a linear combination of two different generalized hypergeometric functions, which remain invariant under the transformation mu <-> (1 - mu). Additionally, it was confirmed that the N = 4 higher spin algebra contains the N = 2 higher spin algebra as a subalgebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Luis Apolo, Alexandre Belin, Suzanne Bintanja, Alejandra Castro, Christoph A. Keller
Summary: This study analyzes how deforming symmetric product orbifolds of two-dimensional N = 2 conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. The results show that these currents are universally lifted regardless of the underlying CFT, but the details of the lifting depend on the central charge of the underlying CFT and the specific marginal operator in use. These findings are important for understanding the mechanism by which the stringy spectrum turns into a supergravity spectrum and the holographic nature of symmetric product orbifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Chantelle Esper, Kuo-Wei Huang, Robin Karlsson, Andrei Parnachev, Samuel Valach
Summary: We consider thermal stress-tensor two-point functions in holographic theories and use the operator product expansion (OPE) to analyze them in the near-lightcone regime. We find that these correlators can be described by three universal functions, which can be computed holographically in Einstein gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Diptarka Das, Shouvik Datta
Summary: In this study, the connection between spacetime wormholes and ensemble averaging in higher spin AdS(3)/CFT2 is investigated. By evaluating the partition function of a Euclidean wormhole in AdS(3) higher spin gravity using modular bootstrap techniques and holographic inputs, it is found that the fixed spin sectors of the dual CFT2 exhibit features that go beyond conventional random matrix ensembles.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Suting Zhao, Christian Northe, Konstantin Weisenberger, Rene Meyer
Summary: In this paper, we study the charged moments in SL(3, M) higher spin holography and compare them with the dual two-dimensional conformal field theory with W-3 symmetry. For the vacuum state and a single entangling interval, we find that the W-3 algebra of the conformal field theory induces an entanglement W-3 algebra acting on the quantum state in the entangling interval. By computing the corresponding connected correlation functions of the modular charge operator up to quartic order in the chemical potential, we evaluate the logarithm of the charged moments perturbatively. Our result matches known results obtained from the charged topological black hole picture in SL(3, M) higher spin gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
Raffaele Marotta, Kostas Skenderis, Mritunjay Verma
Summary: We examined the 3-point CFT correlators involving non-conserved spinning operators in momentum space. A general expression for the conformal Ward identities defining the 3-point functions involving two generic spin s non-conserved operators and a spin 1 conserved current was derived. Explicit expressions for the 3-point function were provided when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. The divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide were also systematically analyzed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Vasco Goncalves, Carlo Meneghelli, Raul Pereira, Joao Vilas Boas, Xinan Zhou
Summary: This paper presents an improved algorithm for computing higher Kaluza-Klein mode correlators using factorization and a superconformal twist. By working entirely within Mellin space, the analytic structure of the holographic correlators becomes simpler. As a result, closed form expressions for all five-point functions of the form & LANGBRAC;pp222 & rang; are obtained, extending the previous result for p=2. In addition, explicit results for spinning four-point functions of higher Kaluza-Klein modes are also obtained as a byproduct of the analysis.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Gideon Vos
Summary: In this study, we revisit the construction of primary operator four-point functions and provide an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. This approach bridges the gap between different research fields and provides a more complete understanding of the topic.
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
Zuhair U. Khandker, Sandipan Kundu, Daliang Li
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
David Poland, Slava Rychkov, Alessandro Vichi
REVIEWS OF MODERN PHYSICS
(2019)
Article
Physics, Particles & Fields
Soner Albayrak, David Meltzer, David Poland
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Shai M. Chester, Walter Landry, Junyu Liu, David Poland, David Simmons-Duffin, Ning Su, Alessandro Vichi
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Soner Albayrak, David Meltzer, David Poland
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Junyu Liu, David Meltzer, David Poland, David Simmons-Duffin
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Zhijin Li, David Poland
Summary: The study provides preliminary evidence that a class of gauged fermionic CFTs can potentially be solved with the conformal bootstrap and satisfy bootstrap bounds. The research demonstrates that the critical O(N) vector models in 3D satisfy the bootstrap bounds and are associated with kinks approaching = 1/2 at large N. Additionally, the bootstrap bounds also include another infinite family of kinks TD, which approach solutions containing free fermion bilinears at = D - 1 as N becomes large.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
David Poland, Valentina Prilepina
Summary: In this study, we focus on 5-point functions in conformal field theories with dimensions greater than 2. By utilizing weight-shifting operators, we are able to derive recursion relations that simplify the computation of arbitrary conformal blocks in 5-point functions involving scalar operators, reducing them to a linear combination of blocks with scalar exchanges. Additionally, we establish recursion relations for the conformal blocks with spin 1 or 2 in the context of 5-point functions, allowing for the formulation of positivity constraints related to the expectation value of the energy operator in bilocal states created by two scalars.
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
Alexander Atanasov, Aaron Hillman, David Poland, Junchen Rong, Ning Su
Summary: In this paper, we present an improved determination of scaling dimensions and OPE coefficients for the minimal supersymmetric extension of the 3d Ising model using the conformal bootstrap. We also demonstrate how this data can be utilized in the Lorentzian inversion formula to achieve good agreement between analytical calculations and numerical extremal spectra once mixing effects are resolved.
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
Astronomy & Astrophysics
Soner Albayrak, Rajeev S. Erramilli, Zhijin Li, David Poland, Yuan Xin
Summary: We present the results of a conformal bootstrap study on the presumed unitary IR fixed point of quantum electrodynamics in three dimensions coupled to Nf = 4 two-component Dirac fermions. The study finds that the scaling dimensions of the fermion bilinear r and the monopole M1/2 are constrained into a closed island, consistent with 1/Nf perturbative results.
Article
Astronomy & Astrophysics
Shai M. Chester, Walter Landry, Junyu Liu, David Poland, David Simmons-Duffin, Ning Su, Alessandro Vichi
Summary: In this study, the critical O(3) model was investigated using numerical conformal bootstrap, with the use of a cutting-surface algorithm to efficiently map out the space of allowed conformal field theory data. By calculating the scaling dimensions of the main O(3) singlet s, vector phi, and rank-2 symmetric tensor t, it was found that the system described by the critical O(3) model is unstable to cubic anisotropy, as evidenced by introducing a new tip-finding algorithm to compute an upper bound on the leading rank-4 symmetric tensor t(4).
Correction
Physics, Particles & Fields
Junyu Liu, David Meltzer, David Poland, David Simmons-Duffin
Summary: During typesetting, incorrect text was added to the title of section 5.1 in the original paper.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)