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Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

高能物理 - 理论 · 物理学 2008-02-20 John Cardy

This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the…

高能物理 - 理论 · 物理学 2017-08-23 C. Schweigert , J. Fuchs , J. Walcher

Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, the study of (super)string vacua. In the present overview of the…

数学物理 · 物理学 2014-11-18 I. T. Todorov

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking of the maximal…

高能物理 - 理论 · 物理学 2011-07-05 Walter D. Goldberger

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

高能物理 - 理论 · 物理学 2007-05-23 Henrique Boschi-Filho , Nelson R. F. Braga

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We find non-critical string backgrounds in five and eight dimensions, holographically related to four-dimensional conformal field theories with N=0 and N=1 supersymmetries. In the five-dimensional case we find an AdS_5 background metric for…

高能物理 - 理论 · 物理学 2010-12-03 F. Bigazzi , R. Casero , A. L. Cotrone , E. Kiritsis , A. Paredes

We study different features of 3D non-relativistic CFT using gravity description. As the corresponding gravity solution can be embedded into the type IIB string theory, we study semi-classical closed/open strings in this background. In…

高能物理 - 理论 · 物理学 2009-03-27 Amin Akhavan , Mohsen Alishahiha , Ali Davody , Ali Vahedi

The large order growth of string perturbation theory in $c\le 1$ conformal field theory coupled to world sheet gravity implies the presence of $O(e^{-{1\over g_s}})$ non-perturbative effects, whose leading behavior can be calculated in the…

高能物理 - 理论 · 物理学 2009-11-10 Sergei Yu. Alexandrov , Vladimir A. Kazakov , David Kutasov

AdS/CFT is a conjectured equivalence between a field theory without gravity (conformal field theory) and a string theory in a special curved background (anti de-Sitter space), where theories on both sides of the equivalence is…

高能物理 - 理论 · 物理学 2017-05-02 Shibaji Roy

After a brief review of critical string theory in trivial backgrounds we begin with introduction to strings in non--trivial backgrounds and noncritical string theory. In particular, we relate the latter to critical string theory in a linear…

高能物理 - 理论 · 物理学 2009-09-29 Arnaud Koetsier

Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary.…

高能物理 - 理论 · 物理学 2024-07-26 Adwait Gaikwad , Amitay C. Kislev , Tom Levy , Yaron Oz

Conformal field theories (CFTs) are associated with critical phenomena and phase transitions and also play an essential role in string theory. Solving a CFT is an extremely constrained problem due to conformal invariance -- the task…

高能物理 - 理论 · 物理学 2025-03-07 Vito Pellizzani

We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string is given by a matrix model these blocks correspond to a…

高能物理 - 理论 · 物理学 2011-09-09 Miranda C. N. Cheng , Robbert Dijkgraaf , Cumrun Vafa

Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose primary fields…

高能物理 - 理论 · 物理学 2018-07-04 Santiago Migliaccio , Sylvain Ribault

Over the last few years, string theory has changed profoundly. Most importantly, novel duality relations have emerged which involve gauge theories of brane excitations on one side and various closed string backgrounds on the other. In this…

高能物理 - 理论 · 物理学 2007-05-23 Volker Schomerus

I review a particular class of physical applications of Logarithmic Conformal Field Theory in strings propagating in changing (not necessarily conformal) backgrounds, namely D-brane recoil in flat or time-dependent cosmological backgrounds.…

高能物理 - 理论 · 物理学 2016-11-23 Nick E. Mavromatos

We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal quantum mechanical theory can have a…

高能物理 - 理论 · 物理学 2010-04-06 Juan Maldacena , Dario Martelli , Yuji Tachikawa

The bootstrap for Liouville theory with conformally invariant boundary conditions will be discussed. After reviewing some results on one- and boundary two-point functions we discuss some analogue of the Cardy condition linking these data.…

高能物理 - 理论 · 物理学 2007-05-23 J. Teschner

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes…

高能物理 - 理论 · 物理学 2015-06-04 M. R. Setare , V. Kamali
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