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We discuss the different bounds on entropy in the context of two-dimensional cosmology. We show that in order to obtain well definite bounds one has to use the scale symmetry of the gravitational theory. We then extend the recently found…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

High Energy Physics - Theory · Physics 2009-10-31 Pablo Minces , Victor O. Rivelles

The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the…

High Energy Physics - Theory · Physics 2009-10-31 George Tsoupros

The conformal algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators $T$ and $\bar{T}$. It depends on a single real parameter and it can be regarded…

High Energy Physics - Theory · Physics 2023-01-04 David Tempo , Ricardo Troncoso

We present the finite-size scaling theory of one-dimensional quantum critical systems in the presence of boundaries. While the finite-size spectrum in the conformal limit, namely of a conformal field theory with conformally invariant…

Strongly Correlated Electrons · Physics 2024-10-02 Yifan Liu , Haruki Shimizu , Atsushi Ueda , Masaki Oshikawa

The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations become non-trivial and are found to obey…

High Energy Physics - Theory · Physics 2009-11-10 A. Cappelli , G. D'Appollonio , M. Zabzine

We develop the holographic framework for the $\textrm{T}\overline{\textrm{T}}$ deformation of two-dimensional conformal field theories (CFT$_2$) with gravitational anomalies, characterized by unequal left and right central charges and…

High Energy Physics - Theory · Physics 2025-08-07 Debarshi Basu , Qiang Wen , Mingshuai Xu

We propose a new holographic dual of conformal field theory defined on a manifold with boundaries, i.e. BCFT. Our proposal can apply to general boundaries and agrees with arXiv:1105.5165 for the special case of a disk and half plane. Using…

High Energy Physics - Theory · Physics 2017-08-16 Rong-Xin Miao , Chong-Sun Chu , Wu-Zhong Guo

We investigate a conformal invariant gravitational model which is taken to hold at pre-inflationary era. The conformal invariance allows to make a dynamical distinction between the two unit systems (or conformal frames) usually used in…

High Energy Physics - Theory · Physics 2009-11-10 Yousef Bisabr

We initiate a systematic study of Einstein-Gauss-Bonnet gravity in the presence of boundaries subject to conformal boundary conditions, in which the conformal class of the boundary metric is kept fixed. In Einstein gravity, the trace of the…

High Energy Physics - Theory · Physics 2026-02-18 Damián A. Galante , Robert C. Myers , Themistocles Zikopoulos

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

The analytic continuation to an imaginary velocity $i\xi$ of the canonical partition function of a thermal system expressed in a moving frame has a natural implementation in the Euclidean path-integral formulation in terms of shifted…

High Energy Physics - Lattice · Physics 2015-06-12 Leonardo Giusti , Harvey B. Meyer

We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developped for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group.…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert

The dynamics of classical field theories is usually governed by field equations, but when fields are constrained to bounded domains it is also dependent on its boundary conditions. Usually boundary conditions are constrained by the…

High Energy Physics - Theory · Physics 2023-10-04 Manuel Asorey , Fernando Ezquerro

We initiate a study of the boundary version of the square-lattice $Q$-state Potts antiferromagnet, with $Q \in [0,4]$ real, motivated by the fact that the continuum limit of the corresponding bulk model is a non-compact CFT, closely related…

Statistical Mechanics · Physics 2020-03-31 Niall F. Robertson , Jesper Lykke Jacobsen , Hubert Saleur

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that…

High Energy Physics - Theory · Physics 2010-11-19 Romuald A. Janik

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

The smallest deformation of the minimal model M(2,3) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a consistent logarithmic conformal field theory at c=0. A…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Mathieu , David Ridout

Classical integrability is investigated for affine Toda field theories in the presence of a constant background tensor field. This leads to a further set of discrete possibilities for integrable boundary conditions depending upon the…

High Energy Physics - Theory · Physics 2009-10-28 P. Bowcock , E. Corrigan , R. H. Rietdijk

We formulate new boundary conditions that prove well defined variational principle and finite response functions for conformal gravity (CG). In the Anti--de Sitter/conformal field theory framework, gravity theory that is considered in the…

High Energy Physics - Theory · Physics 2016-12-30 I. Lovrekovic
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