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Related papers: Complexity of warped conformal field theory

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In this work, we continue our study of string theory in the background that interpolates between $AdS_3$ in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT$_2$ in the IR to a…

High Energy Physics - Theory · Physics 2021-04-06 Soumangsu Chakraborty , Gaurav Katoch , Shubho R. Roy

We study weakly coupled $U(1)$ theories in $AdS_3$, their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together…

High Energy Physics - Theory · Physics 2016-11-23 Miguel Montero , Gary Shiu , Pablo Soler

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to…

High Energy Physics - Theory · Physics 2023-02-08 Ming Zhang , Chaoxi Fang , Jie Jiang

We study CFT2 conformal blocks on a torus and their holographic realization. The classical conformal blocks arising in the regime where conformal dimensions grow linearly with the large central charge are shown to be holographically dual to…

High Energy Physics - Theory · Physics 2017-11-22 K. B. Alkalaev , V. A. Belavin

Quantum complexity of conformal field theory (CFT) states has recently gained significant attention, both as a diagnostic tool in condensed matter systems and in connection with holographic observables probing black hole interiors. Previous…

High Energy Physics - Theory · Physics 2025-07-31 Stefano Baiguera , Nicolas Chagnet , Shira Chapman , Osher Shoval

We consider holographic duals of $2$-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the $SO(2,2)$…

High Energy Physics - Theory · Physics 2015-06-18 John Estes

Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the…

High Energy Physics - Theory · Physics 2022-05-04 M. R. Piatek , R. G. Nazmitdinov , A. Puente , A. R. Pietrykowski

We show that holography poses non-trivial restrictions on various couplings of an interacting field. For a vector boson in the AdS Reissner-Nordstrom background, the dual boundary theory is pathological unless its electromagnetic and…

High Energy Physics - Theory · Physics 2015-06-12 Manuela Kulaxizi , Rakibur Rahman

The holographic complexity has been studied in a background which includes a critical point in the dual field theory. We have examined how the complexity rate and the saturation time of dynamical variables in the theory behave as one moves…

High Energy Physics - Theory · Physics 2019-10-02 H. Ebrahim , M. Asadi , M. Ali-Akbari

We study a new class of solutions of three-dimensional topological massive gravity. These solutions can be taken as non-extremal black holes, with their extremal counterparts being discrete quotients of spacelike warped AdS$_3$ along the…

High Energy Physics - Theory · Physics 2011-03-29 Bin Chen , Bo Ning

For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry…

High Energy Physics - Theory · Physics 2016-01-18 Mohsen Alishahiha

We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a Z3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points,…

High Energy Physics - Theory · Physics 2018-12-05 Minjae Cho , Scott Collier , Xi Yin

In this note we study CFT$_2$ Virasoro conformal blocks with heavy operators in the large-$c$ limit in the context of AdS$_3$/CFT$_2$ correspondence. We compute the lengths of the holographic Steiner trees dual to the $5$-point and…

High Energy Physics - Theory · Physics 2021-04-20 Mikhail Pavlov

In this paper we investigate the holographic R\'enyi entropy of two disjoint intervals on complex plane with small cross ratio $x$ for conformal field theory with $W$ symmetry in the ground state, which could be dual to a higher spin…

High Energy Physics - Theory · Physics 2014-05-20 Bin Chen , Jiang Long , Jia-ju Zhang

Thermal states of quantum systems with many degrees of freedom are subject to a bound on the rate of onset of chaos, including a bound on the Lyapunov exponent, $\lambda_L\leq 2\pi /\beta$. We harness this bound to constrain the space of…

High Energy Physics - Theory · Physics 2016-11-23 Eric Perlmutter

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local…

High Energy Physics - Theory · Physics 2017-08-30 Branislav Cvetković , Olivera Miskovic , Dejan Simić

In this article, we revisit some aspects of the computation of the cohomology class of $H^2 ( \text{Witt}, \mathbb{C})$ using some methods in two-dimensional conformal field theory and conformal algebra to obtain the one-dimensional central…

Mathematical Physics · Physics 2018-08-21 Jacksyn Bakeberg , Parthasarathi Nag

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We explore the constraints imposed on higher curvature corrections of the Lovelock type due to causality restrictions in the boundary of asymptotically AdS space-time. In the framework of AdS/CFT, this is related to positivity of the energy…

High Energy Physics - Theory · Physics 2014-11-20 Xian O. Camanho , Jose D. Edelstein
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