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
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
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
Summary: By defining circuits based on unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions, we are able to generalize formulas for circuit complexity starting from spinning primary states. These results are effectively replicated through the geometry of coadjoint orbits of the conformal group. However, unlike the complexity geometry derived from scalar primary states, the geometry derived from spinning primary states is more intricate and the presence of conjugate points signaling complexity saturation is still unknown.
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
Igal Arav, K. C. Matthew Cheung, Jerome P. Gauntlett, Matthew M. Roberts, Christopher Rosen
Summary: In this paper, we construct infinite new classes of AdS(4)× S(1)× S-5 solutions of type IIB string theory with non-trivial SL(2, Z) monodromy along the S-1 direction, which are supersymmetric and dual to N = 1 SCFTs in d = 3. These solutions arise as limiting cases of Janus solutions of d = 4, N = 4 SYM theory, supported by different values of coupling constant on each side of the interface, as well as by fermion and boson mass deformations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Agnese Bissi, Giulia Fardelli, Alessandro Georgoudis
Summary: A set of structures appearing in the four-point function of protected operators in N = 4 super Yang-Mills with SU(N) gauge group was computed at any order in a large N expansion, determined solely by leading order CFT data. By focusing on a specific limit, a connection was made with the dual supergravity amplitude in flat space, where these structures correspond to iterated s-cuts. Several checks were performed and it was conjectured that the same interpretation holds for supergravity amplitudes on AdS(5) x S-5.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
A. Jahn, M. Gluza, C. Verhoeven, S. Singh, J. Eisert
Summary: This work focuses on the use of tensor network models on hyperbolic lattices to capture key aspects of the AdS/CFT correspondence. By deriving disordered local Hamiltonians, the study establishes a deeper understanding of the relationship between tensor networks and conformal field theories. The research also explores the multi-scale quasiperiodic symmetries exhibited by these Hamiltonians and compares their correlation functions with translation-invariant models, finding convergence in the large bond dimension limit. Additionally, numerical probes of bulk parameters corresponding to boundary excited states pave the way for a tensor network bulk-boundary dictionary between regular hyperbolic geometries and critical boundary states.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, Amirhossein Tajdini
Summary: The study focuses on the torus partition functions of free bosonic CFTs in two dimensions, showing that integrating over Narain moduli defines an ensemble-averaged free CFT and the averaged partition function can be reinterpreted as a sum over topologies in three dimensions. This leads to the conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1)(c)xU(1)(c) symmetry and a composite boundary graviton. Additionally, general constraints on the spectral gap of free CFTs are obtained for small central charge c, Narain compactifications with a large gap are constructed, and an analytic bootstrap functional corresponding to a single self-dual boson is found using the spinning modular bootstrap.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lorenzo Di Pietro, Victor Gorbenko, Shota Komatsu
Summary: This paper investigates the fundamentals of quantum field theory on a rigid de Sitter space and demonstrates that the perturbative expansion of late-time correlation functions can be generated by a non-unitary Lagrangian on a Euclidean AdS geometry. It simplifies perturbative computations and establishes the basic properties of these correlators, which form a Euclidean CFT. The spectral density that captures the conformal partial wave expansion of a late-time four-point function is inferred, an OPE expansion is derived, and the operator spectrum is constrained. Unitarity of the de Sitter theory is manifested as the positivity of the spectral density, and this statement holds non-perturbatively.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Wyatt Reeves, Moshe Rozali, Petar Simidzija, James Sully, Christopher Waddell, David Wakeham
Summary: The study suggests that a holographic CFT with a boundary added to it does not usually have a 'good' holographic dual with a localized gravitating end-of-the-world brane, due to restrictive constraints imposed by bulk causal structure. This implies that even higher-dimensional holographic duals of BCFTs may not be generic.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez, J. G. Russo
Summary: Studying 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography provides insights into universal formulas for holographic free energy. By including alpha ' corrections, leading corrections at strong coupling can be reproduced. 3-point functions exhibit intricate structures and interesting properties, including a factorization property when dimensions satisfy specific conditions, suggesting that factorization in d > 2 is a reflection of the semiclassical regime.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jonah Kudler-Flam, Yuya Kusuki, Shinsei Ryu
Summary: The study investigates the dynamics of various entanglement measures in quantum systems after exciting the ground state, revealing a close-knit structure among them that strongly depends on the chaoticity of the theory. Evidence is found for breakdown of the quasi-particle picture in 2D conformal field theories and universality of entanglement dynamics in non-equilibrium systems.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Wu-zhong Guo
Summary: This study explores the application of entanglement spectrum in holographic theory, extracting information by evaluating the spectrum of the density matrix. It is found that there exists a microcanonical ensemble state associated with an approximate state of the density matrix, with specific parameter lambda (0) in some examples. The reformulation of the equality case of the Araki-Lieb inequality in terms of Holevo information is presented, along with constraints on the eigenstates and the significance of understanding geometric states.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hardik Bohra, Ashish Kakkar, Allic Sivaramakrishnan
Summary: This paper explores perturbative corrections to quantum information geometry, focusing on the Bures information metric associated with correlation functions of a conformal field theory. The metric of holographic four-point functions is computed, with corrections generated by tree Witten diagrams in the bulk included. The properties of correlators are translated into the language of information geometry in this setting. The cross terms in the information metric encode non-identity operators in the operator product expansion (OPE), and it is found that the information metric is asymptotically AdS. Additionally, an information metric for transition amplitudes is discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Damon J. Binder, Daniel Z. Freedman, Silviu S. Pufu
Summary: This study develops a new embedding-space formalism for evaluating Witten diagrams for operators with spin. By determining the conservation properties of boundary operators and using a set of differential operators, Witten diagrams with spinning external legs can be related to Witten diagrams with scalar external legs.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Tatsuma Nishioka
REVIEWS OF MODERN PHYSICS
(2018)
Article
Physics, Particles & Fields
Nozomu Kobayashi, Tatsuma Nishioka
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Nozomu Kobayashi, Tatsuma Nishioka, Yoshiki Sato, Kento Watanabe
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Heng-Yu Chen, Lung-Chuan Chen, Nozomu Kobayashi, Tatsuma Nishioka
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama, Kento Watanabe
Summary: The study shows that in models related with gravitational phase transitions, entanglement capacity exhibits phase transitions between different types of topology and can serve as a valuable diagnostic tool in the process of black hole evaporation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Tatsuma Nishioka, Yoshiki Sato
Summary: The study describes conformal defects of p dimensions in a free scalar theory as boundary conditions on the conformally flat space H(p+1)x?(d-p-1), classifying them into Dirichlet type and Neumann type. It is found that Dirichlet boundary conditions always exist, while Neumann boundary conditions are only allowed for defects of lower codimensions. The results are consistent with a recent classification of non-monodromy defects, highlighting the association of Neumann boundary conditions with non-trivial defects.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki
Summary: The paper introduces the concept of topological pseudo entropy and examines its applications in Chern-Simons gauge theory. It demonstrates the equivalence between topological pseudo entropy and interface entropy, and also finds that the topological interface entropy for rational CFTs has a contribution identical to the topological entanglement entropy on a torus.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama, Kento Watanabe
Summary: The entanglement capacity is considered as a probe of Hawking radiation in a two-dimensional dilaton gravity system coupled with large degrees of freedom conformal matter. A formula for calculating the capacity is derived using the gravitational path integral, suggesting a discontinuity at the Page time. Application of the formula to a replica wormhole solution in an eternal AdS black hole coupled to a non-gravitating bath revealed saturation of the entanglement capacity by the thermal capacity of the black hole in the high temperature limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yasuaki Hikida, Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki
Summary: We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that this correspondence includes various gravity limits and dualities associated with SU(2) and SU(N) WZW models. We confirm the correctness of this correspondence and study two-point functions and entanglement entropy. We also discuss the possible spectrum and quantum corrections in the gravity theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yasuaki Hikida, Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki
Summary: This letter proposes a holographic duality for classical gravity on a three-dimensional de Sitter space and presents evidence in terms of classical partition function and conformal field theory.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
Summary: Using the axiomatic framework of Rychkov and Tan, this study examines the critical O(N) vector model with a line defect in (4 - epsilon) dimensions. It is found that the critical value of the defect coupling to the bulk field can be uniquely determined without resorting to diagrammatic calculations, assuming the fixed point is described by defect conformal field theory. Various defect localized operators are also studied using the axiomatic method, where the analyticity of correlation functions is crucial in determining the conformal dimensions of defect composite operators. The leading anomalous dimensions obtained by perturbative calculations are reproduced in all cases, including operators with operator mixing.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Editorial Material
Physics, Particles & Fields
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
Summary: The O(N) vector model in the presence of a boundary exhibits critical behaviors described by boundary conformal field theory in (4 - epsilon) dimensions. We investigate the spectrum of boundary operators using diagrammatic and axiomatic approaches at the leading order in the epsilon-expansion. In both approaches, consistent results are obtained, emphasizing the analyticity of correlation functions for the conformal dimensions of boundary composite operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
Summary: We propose a method to describe correlation functions in higher-dimensional defect conformal field theories by using correlation functions in ancillary conformal field theories. This method has the potential to reveal new aspects of defect conformal field theories from the viewpoint of conventional conformal field theories.
Article
Physics, Particles & Fields
Nozomu Kobayashi, Tatsuma Nishioka, Yoshitaka Okuyama
JOURNAL OF HIGH ENERGY PHYSICS
(2020)