Article
Physics, Particles & Fields
Souvik Banerjee, Moritz Dorband, Johanna Erdmenger, Rene Meyer, Anna-Lena Weigel
Summary: In this study of two-dimensional holographic conformal field theories (CFTs), we investigate the role of Berry phases in relating the non-factorization of the Hilbert space to the presence of wormholes. We find that the wormholes are characterized by a non-exact symplectic form, which induces the occurrence of Berry phases. Specifically, for wormholes connecting spacelike regions in gravitational spacetimes, the non-exactness is linked to a variable in the phase space of the boundary CFT, corresponding to a loop integral in the bulk. This leads to non-factorization in the dual entangled CFTs. Additionally, we classify Berry phases in holographic CFTs based on the type of dual bulk diffeomorphism involved, distinguishing between Virasoro, gauge, and modular Berry phases, each associated with a spacetime wormhole geometry in the bulk. Moreover, we extend the relation between the modular Hamiltonian and the Berry curvature to the finite temperature case using kinematic space, where the Crofton form characterizes the topological transition of the entanglement entropy in the presence of a black hole.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sergio E. Aguilar-Gutierrez, Ayan K. Patra, Juan F. Pedraza
Summary: We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. By studying the holographic entanglement entropy and holographic complexity, we are able to reproduce the phenomenon of a Page curve and recover late-time linear growth under different conditions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Horatiu Nastase, Jacob Sonnenschein
Summary: In this paper, we study T(T) over bar deformations in pp waves obtained from gravity duals. We find that the deformation of AdS(5) x S-5 must correspond to some dipole theory, and we also obtain the spin chain Hamiltonian for the deformed world sheet string in AdS(5) x S-5 pp wave. Furthermore, we discover that the deformed spin chain Hamiltonian corresponds to an equivalent Berenstein-Maldacena-Nastase (BMN) sector of N = 4 super Yang-Mills.
Article
Physics, Particles & Fields
Nele Callebaut, Gilad Lifschytz
Summary: Within the framework of bulk reconstruction, this study examines the relationship between the action of CFT modular Hamiltonians on bulk operators, the possible equation of motion for the bulk operators, and the charge distribution at infinity corresponding to such bulk fields. Specifically, for scalar fields interacting with gravity or gauge fields, the study shows how the action of the modular Hamiltonian can constrain the possible bulk equation of motion, ensuring consistency with bulk gauge invariance and diffeomorphism invariance.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Carlos Cardona, Cynthia Keeler, William Munizzi
Summary: In this work, the lightcone bootstrap was applied to study the four-point function of scalars in two-dimensional conformal field theory, including the entire Virasoro symmetry. A kernel ansatz was proposed to generalize the spectral decomposition of the Virasoro vacuum, extending it beyond the large dimension limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yuxuan Liu, Zhuo-Yu Xian, Cheng Peng, Yi Ling
Summary: This article presents three models describing two eternal black holes separated by flat space and entangled by radiation exchange. The entanglement entropy and mutual information among subsystems are computed in the doubly holographic setup to reveal the dynamic phase structure of entanglement. The formation of entanglement is delayed by the space traversed by radiation, with the final state characterized by a connected entanglement wedge or two separate islands depending on the exchange of Hawking modes. Similar phase structures are obtained in the field theory side using two Sachdev-Ye-Kitaev clusters coupled to a Majorana chain. Additionally, a chain model composed of EPR clusters is investigated, reproducing the observed features of entanglement in previous models.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Joris Raeymaekers
Summary: We propose a non-unitary holographic example for the family of two-dimensional logarithmic conformal field theories, where the central charge and the natural modular invariant partition function coincide with those of the related model. These models exhibit a semiclassical gravity-like description at large p values, containing the global AdS(3) spacetime and solitonic solutions describing conical excess angles. Close examination reveals a direct link between geometric actions for exceptional Virasoro coadjoint orbits and Felder's free field construction of degenerate representations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Mathematical
Davood Momeni, Phongpichit Channuie
Summary: This paper investigates the feasibility of holography with the Kitaev model using dilatonic gravity in AdS(2). A generic dual theory of gravity in AdS(2) is proposed, providing a suitable toy model for studying quantum mechanics in the Kitaev model using gauge/gravity duality. Scalar and tensor perturbations are analyzed, and it is shown that near AdS perturbations freeze as AdS, while dilation perturbations decay safely at the AdS boundary. The time-dependent part of the perturbation exhibits an oscillatory model, and the dual gravity induces an effective and renormalizable quantum action, with entanglement entropy computed for the bulk theory using extremal surfaces showing a fold bifurcation regime of criticality.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN 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
Min-xin Huang
Summary: A novel modular anomaly equation is proposed for calculating the unflavored Schur index in the N = 4 SU(N) super-Yang-Mills theory. The equation overdetermines the modular ambiguity ansatz with vanishing conditions, enabling recursive computation of the exact Schur indices for all SU(N) gauge groups. Using MacMahon's generalized sum-of-divisors functions and Jacobi forms as representations, our proposal is proven, along with an elucidation of a general formula conjectured by Pan and Peelaers.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Tamas Gombor
Summary: This article highlights the significance of long-range spin chains in the gauge-string duality and generalizes the transfer matrices of integrable medium-range spin chains to long-range models. The introduced transfer matrices define conserved charges for each length of the spin chain, providing a definition for integrable finite-size long-range spin chains with the inclusion of wrapping corrections in their spectrum.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Liangyu Chen, Huajia Wang
Summary: We study the perturbation theory of causal shadows and their relation to associated modular flows. We revisit the cases of degenerate causal shadows based on known examples and discuss the origin of their degeneracy through the local nature of the modular flow. We focus on the perturbative case where the CFT subregion consists of two spheres separated by a large distance L >> R-1, R-2.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Anastasia A. Golubtsova, Marina K. Usova
Summary: In this study, we investigate holographic RG flows in a 3d supergravity model using the methods of dynamical system theory. By reducing the gravity equations of motion to an autonomous dynamical system, we identify equilibrium points and analyze their stability. We also reconstruct asymptotic solutions near critical points, which consist of two types: asymptotically AdS metrics and hyperscaling violating metrics. Furthermore, we describe possible RG flows between an unstable (saddle) UV fixed point and a stable (stable node) IR fixed point, as well as analyze bifurcations in the model.
EUROPEAN PHYSICAL JOURNAL PLUS
(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
Bowen Chen, Bartlomiej Czech, Ling-Yan Hung, Gabriel Wong
Summary: Modular parallel transport for disjoint field theory regions is studied for the first time. The study focuses on the kinematic space of multi-interval regions in the vacuum of 1+1-dimensional free fermion theory, where modular Hamiltonians on disjoint regions are known. The generators and curvature two-form of modular parallel transport are explicitly computed, and the simplicity of their forms is explained through the concept of half-sided modular inclusion. The calculations are compared with the behavior of modular parallel transport in holographic theories, highlighting the role of non-local terms that couple distinct intervals.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, James Sully
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, Benjamin Mosk, James Sully
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Bartlomiej Czech, Phuc H. Nguyen, Sivaramakrishnan Swaminathan
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Physics, Particles & Fields
Vijay Balasubramanian, Ben Craps, Bartlomiej Czech, Gabor Sarosi
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Physics, Particles & Fields
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, Benjamin Mosk, James Sully
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Physics, Multidisciplinary
Bartlomiej Czech
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Particles & Fields
Bartlomiej Czech, Xi Dong
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Bartlomiej Czech, Jan de Boer, Dongsheng Ge, Lampros Lamprou
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Bartlomiej Czech, Yaithd D. Olivas, Zi-zhi Wang
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Review
Physics, Multidisciplinary
Bowen Chen, Bartlomiej Czech, Zi-Zhi Wang
Summary: In this paper, we provide a pedagogical review of the application of concepts from quantum information theory and gravitational theory in the anti-de Sitter/conformal field theory correspondence. We introduce various concepts and techniques, and aim to give researchers a working knowledge in this field for initiating original projects.
REPORTS ON PROGRESS IN PHYSICS
(2022)
Article
Physics, Multidisciplinary
Bartlomiej Czech, Sirui Shuai
Summary: The holographic entropy cone is used to identify entanglement entropies of field theory regions. This study points out that average entropies of p-partite subsystems can be similarly analyzed for arbitrarily many regions. It is conjectured that the holographic cone of average entropies is simplicial and combines features of perfect tensor and bipartite entanglement.
COMMUNICATIONS PHYSICS
(2022)
Article
Physics, Particles & Fields
Bartlomiej Czech, Yunfei Wang
Summary: In holographic duality, semiclassical bulk duals of boundary states are subject to inequalities that restrict the von Neumann entropies of their subsystems. Existing inequalities only apply to up to N = 5 disjoint subsystems, but we have discovered a new inequality involving N = 7 disjoint regions. Our findings support a recent conjecture on the structure of holographic inequalities and provide insights into the potential for further exploration using similar tactics.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Bowen Chen, Bartlomiej Czech, Zi-zhi Wang
Summary: The study represents the vacuum of a two-dimensional conformal field theory as a network of Wilson lines in SL(2, R) x SL(2, R) Chern-Simons theory, and explores the relationship between the structure of the network and the curvature of the cutoff surface. The results suggest that the density of complexity of the network is related to the position and shape of the cutoff scale.
Article
Materials Science, Multidisciplinary
Bartlomiej Czech, Glen Evenbly, Lampros Lamprou, Samuel McCandlish, Xiao-liang Qi, James Sully, Guifre Vidal