Article
Physics, Particles & Fields
Andreas Blommaert, Luca Iliesiu, Jorrit Kruthoff
Summary: This study focuses on factorizing theories of dilaton gravity with a universal bilocal interaction. These theories have discrete spectra, distinguished only by their local dilaton potentials. The authors show how such theories can be used to construct all alpha-states in the Hilbert space of baby universes in ordinary JT gravity. They also find that different classes of these theories with different local potentials are non-perturbatively equivalent and have identical discrete spectra, demonstrating the equivalence of different bulk descriptions in giving rise to the same boundary theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Daniel Elander, Michele Frigerio, Marc Knecht, Jean-Loic Kneur
Summary: This article continues the study of strongly-coupled, approximately scale-invariant gauge theories with a large number of flavours, focusing on their application in the composite-Higgs scenario. By extending the holographic models, the authors compute the spectrum of composite fermionic states and observe the presence of light fermionic bound states in certain regions of parameter space. Additionally, a dense spectrum of states is observed in the presence of multi-scale dynamics induced by a large backreaction of bulk scalars on the geometry. The linear coupling between composite and elementary fermions is also studied, revealing that it can be dangerously irrelevant in certain circumstances. Finally, the partially composite spectrum is computed and its potential phenomenological implications, such as for top-quark partners, are assessed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Baur Mukhametzhanov
Summary: We study the factorization problem in holographic toy models, SYK and Matrix Models. In theories with fixed couplings, we introduce a fictitious ensemble averaging using a projector onto fixed couplings. By computing the squared partition function, we find that for a typical choice of fixed couplings, it can be approximated by a wormhole term plus a pair of linked half-wormholes. This resolves the factorization problem. We also propose the form of the pair of linked half-wormholes contribution in a matrix model with an arbitrary potential.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Elena Caceres, Rodrigo Castillo Vasquez, Alejandro Vilar Lopez
Summary: The study derives the holographic entanglement entropy functional for a gravitational theory up to cubic order in the Riemann tensor, showcasing the differences between minimal and non-minimal splittings. The results are applied to specific examples and show that causal wedge inclusion is respected for a wide range of values of the cubic coupling.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Yue (Cathy) Li, Onkar Parrikar
Summary: This study uses the SYK family of models to investigate the complexity of time evolution in free, integrable, and chaotic systems. The study reveals how the complexity growth is eventually truncated by the appearance and accumulation of conjugate points, leading to different behaviors in different types of systems.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yi-Yu Lin, Jia-Rui Sun, Yuan Sun, Jie-Chen Jin
Summary: This study provides a bit thread description of the AdS/BCFT setup, characterizing the specific entanglement details between different parts of the system with an entanglement island. The research also distinguishes between the fine-grained PEE and the semi-classical PEE in the context of an island.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sangmin Choi, Finn Larsen
Summary: We discuss AdS(2) quantum gravity from an unconventional perspective which focuses on bulk geometry. Our approach avoids divergences and renormalization by omitting the dilaton of JT-gravity and considering AdS(2) without boundaries. This results in the standard Schwarzian theory. Our derivation relies on the conventional AdS/CFT correspondence and effective quantum field theory, providing advantages such as clarifying the symmetry breaking pattern and treating non-compact AdS(2) topology on equal footing with compact Riemann surfaces.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Felipe Rosso, Gustavo J. Turiaci
Summary: In this paper, we analyze the deformations of N = 1 Jackiw-Teitelboim supergravity by adding a gas of defects and compute the partition function using a topological expansion. We find that it matches the perturbative expansion of a random matrix model, providing a non-perturbative completion of the N = 1 dilaton-supergravity theories. We also show that the negative spectral density problem can be resolved using the matrix model description through a phase transition.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Budhaditya Bhattacharjee, Chethan Krishnan, Debajyoti Sarkar
Summary: This paper discusses various aspects of the HKLL bulk reconstruction for the free scalar field in AdSd+1. The authors consider the spacelike reconstruction kernel for the non-normalizable mode in global coordinates, constructing it as a mode sum. They propose a chordal Green's function approach to reproduce it in even bulk dimensions, putting the global AdS results for the non-normalizable mode on par with results for the normalizable mode in the literature. Explicit mode sum results in Poincaré AdS are presented for both normalizable and non-normalizable kernels in general even and odd dimensions. These results can be rewritten to match the global AdS results through an antipodal mapping and a remainder for generic scaling dimension delta. The construction of the non-normalizable mode is motivated by understanding linear wave equations in general spacetimes from a holographic perspective. The authors note interesting features within AdS/CFT when the scaling dimension delta is in the Breitenlohner-Freedman window.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Eivind Jorstad, Robert C. Myers, Shan-Ming Ruan
Summary: We study holographic complexity in de Sitter spacetime and find that it exhibits universal behavior in different approaches. Specifically, holographic complexity shows 'hyperfast' growth and appears to diverge with a universal power law at a finite critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of holographic complexity is linear in time.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Stefano Antonini, Gregory Bentsen, ChunJun Cao, Jonathan Harper, Shao-Kai Jian, Brian Swingle
Summary: This paper investigates the effects of local projective measurements on the dual spacetime in holography. It is found that such measurements destroy parts of the bulk geometry and result in post-measurement bulk spacetimes that are cut off by end-of-the-world branes. The preserved portions of the bulk geometry depend on the size of the measured region and the state being projected. Furthermore, measurements teleport part of the bulk information originally encoded in the measured region into the complementary region.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yi-Yu Lin, Jie-Chen Jin
Summary: In this paper, we introduce a property of bit threads called thread/state correspondence, which has not been explicitly proposed before. By using this correspondence, we can construct explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the holographic SS correspondence. Furthermore, we demonstrate the close relationship between the holographic qubit threads model and holographic tensor networks, kinematic space, and spacetime connectivity.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Marcelo Botta Cantcheff
Summary: We derive a prescription to compute the expansion of states describing spacetimes with general spatial topology in arbitrary dimension, which coincides with the Schmidt decomposition for large N. The coefficients of the expansion are given by n-point correlation functions on a specific Euclidean geometry. We show that this applies to all spacetimes that admit a Hartle-Hawking type of wave functional and can be mapped to CFT states defined on the asymptotic boundary through a standard hypothesis on the spatial topology. It is also observed that these states exhibit quantum coherence properties. By applying this as holographic engineering, one can construct an emergent space geometry with a predetermined topology by preparing an entangled state of the dual quantum system. As an example, we calculate the expansion and characterize a spacetime with an initial spatial topology of a genus one handlebody.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Edgar Shaghoulian, Leonard Susskind
Summary: This paper expands on two recent proposals to generalize the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space, referred to as the monolayer and bilayer proposals. These proposals replace the boundary of AdS with the boundaries of static-patches or event horizons. The paper applies the rules of each proposal to various cases and demonstrates that they produce expected results. While the monolayer and bilayer proposals often yield the same results, they disagree in one specific situation. A better understanding of the thermodynamic limit of holographic systems is needed to definitively decide between the two.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Edgar Shaghoulian
Summary: This paper explores whether the central dogma of cosmological horizons has any support and proposes consistent answers with the quantum theory of de Sitter space, including a vanishing total entropy, an entropy of A/4G(N) on a single static patch, increasing entropy of a subregion as the region size grows, an island-like transition at half the horizon size, and a de Sitter version of the Hartman-Maldacena transition.
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
Pawel Caputa, Diptarka Das, Sumit R. Das
Summary: In this article, we explore the properties of path integral complexity in field theories on time-dependent backgrounds using the dual description in terms of Hartle-Hawking wavefunctions. Our findings show that holographic path integral complexity decreases as the singularity is approached, consistent with previous results from holographic complexity conjectures. Additionally, we identify examples where the complexity becomes universal, independent of the Kasner exponents, while the properties of the path integral tensor networks are sensitive to this data.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Shinji Hirano, Tsunehide Kuroki
Summary: This paper investigates replica wormholes in JT gravity and describes their formation and mechanism using conformal field theory. The gravitational part of the bulk entanglement entropy can be reproduced through the study of twist operators and correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hugo A. Camargo, Pawel Caputa, Pratik Nandy
Summary: This study discusses the interpretation of path integral optimization as a uniformization problem in even dimensions, and systematically constructs the higher-dimensional path integral complexity in holographic conformal field theories in terms of Q-curvature actions. The properties and consequences of these actions are explored from the perspective of the optimization programme, tensor networks, and penalty factors. The study also considers higher curvature contributions on the Hartle-Hawking bulk slice in the context of recently proposed holographic path integral optimization, and studies their impact on the optimization as well as their relation to Q-curvature actions and finite cut-off holography.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Correction
Physics, Particles & Fields
Pawel Caputa, Jorrit Kruthoff, Onkar Parrikar
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Correction
Physics, Particles & Fields
Jan Boruch, Pawel Caputa, Dongsheng Ge, Tadashi Takayanagi
Summary: A correction to this paper has been published.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Correction
Physics, Particles & Fields
Pawel Caputa, Ian MacCormack
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Correction
Physics, Particles & Fields
Pawel Caputa, Shouvik Datta, Yunfeng Jiang, Per Kraus
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Correction
Physics, Particles & Fields
Pawel Caputa, Shouvik Datta
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Oren Bergman, Shinji Hirano
Summary: In this paper, we study the structure of global one-form symmetries and SL(2, Z) duality orbits in the space of N = 4 supersymmetric Yang-Mills theories from the perspective of holographic dual Type IIB string theory. By generalizing previous work by Witten, we map the different theories based on gauge algebras su(N), so(N), and sp(N) to boundary conditions on bulk gauge fields. We demonstrate how the one-form symmetries and their anomalies, as well as the duality properties of the gauge theories, manifest in the holographic picture. Additionally, we prove that the number of disjoint SL(2, Z) duality orbits for the su(N) theories is determined by the number of square divisors of N.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Pawel Caputa, Nitin Gupta, S. Shajidul Haque, Sinong Liu, Jeff Murugan, Hendrik J. R. Van Zyl
Summary: Recent research has shown the potential of quantum complexity to probe phenomena such as quantum chaos and quantum phase transitions. This article provides further evidence by studying the Kitaev chain as a model system for topological phase transitions. The authors demonstrate that Krylov-complexity can distinguish between different phases and serve as a diagnostic tool for the quantum critical point.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Pawel Caputa, Dongsheng Ge
Summary: In this research, we investigate families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We obtain the energy density and entanglement entropy, and discuss their equivalence to similar quantities computed in locally excited states. Additionally, we analyze their holographic geometries and reproduce entanglement entropies using the Ryu-Takayanagi prescription. Lastly, we outline potential applications of this universal class of states in operator growth and inhomogeneous quenches.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Pawel Caputa, Sinong Liu
Summary: In this study, the complexity of quantum many-body states is found to distinguish topological phases of matter. The Su-Schrieffer-Heeger model is used to illustrate that spread complexity remains constant in the topological phase. Additionally, exact solvable quench protocols are analyzed, revealing distinct dynamical features of spread complexity depending on the initial state's topological phase and the quench Hamiltonian.
Article
Astronomy & Astrophysics
Vijay Balasubramanian, Pawel Caputa, Javier M. Magan, Qingyue Wu
Summary: We propose a measure of quantum state complexity by minimizing the spread of wave function over different choices of basis. This measure is controlled by the survival amplitude for a state to remain unchanged and can be efficiently computed in theories with discrete spectra. It generalizes Krylov operator complexity to quantum states for continuous Hamiltonian evolution. By applying our method to various systems, we reveal four regimes in the time-evolved thermofield double states, showing the same physics as the spectral form factor's slope-dip-ramp-plateau structure.
Article
Physics, Multidisciplinary
Pawel Caputa, Javier M. Magan, Dimitrios Patramanis
Summary: We develop a geometric approach to study operator growth and Krylov complexity in many-body quantum systems. By linking unitary evolution with the Liouvillian and displacement operator, we establish a connection between operator growth and classical motion in phase space. Using this geometric perspective, we show that operator growth is represented by geodesics and Krylov complexity is proportional to volume.
PHYSICAL REVIEW RESEARCH
(2022)