scholarly journals EXACT STRING BACKGROUNDS FROM WZW MODELS BASED ON NON-SEMISIMPLE GROUPS

1994 ◽  
Vol 09 (27) ◽  
pp. 4759-4766 ◽  
Author(s):  
KONSTADINOS SFETSOS
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Central Charge ◽  
Space Time ◽  
Extended Version ◽  
Euclidean Group ◽  
Semisimple Groups ◽  
Killing Vectors ◽  
Conformal Field ◽  
The One

We formulate WZW models based on a centrally extended version of the Euclidean group in d dimensions. We obtain string backgrounds corresponding to conformal σ models in D=d2 space-time dimensions with exact central charge c=d2 and d(d−1)/2 null Killing vectors. By identifying the corresponding conformal field theory we show that the one-loop results coincide with the exact ones up to a shifting of a parameter.

ON THE INTERPOLATING SOLUTIONS OF STRING IN DIFFERENT BACKGROUNDS

1992 ◽  
Vol 07 (15) ◽  
pp. 1361-1366 ◽  
Author(s):  
SUDIPTA MUKHERJI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
String Theory ◽  
Central Charge ◽  
Space Time ◽  
Time Dependent ◽  
Target Space ◽  
Conformal Field ◽  
Β Function ◽  
Time Dependent Solution

We analyze the β-function equations for string theory in the case when the target space has one space-like (or time-like) direction and the rest is some conformal field theory (CFT) with appropriate central charge and has one nearly marginal operator. We show there always exists a space-(time) dependent solution which interpolates between the original background and the background where CFT is replaced by a new conformal field theory, obtained by perturbing CPT by the nearly marginal operator.

scholarly journals THE EFFECTIVE STRING OF 3D Z2 GAUGE THEORY AS A c = 1 COMPACTIFIED CFT

1993 ◽  
Vol 08 (16) ◽  
pp. 2839-2858 ◽  
Author(s):  
M. CASELLE ◽  
F. GLIOZZI ◽  
S. VINTI ◽  
R. FIORE
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Conformal Field Theory ◽  
Central Charge ◽  
Three Dimensional ◽  
String Tension ◽  
Gauge Model ◽  
Expectation Values ◽  
Monte Carlo Test ◽  
Conformal Field

We report on a high precision Monte Carlo test of the three-dimensional Ising gauge model at finite temperature. The string tension σ is extracted from the expectation values of correlations of Polyakov lines. Agreement with the string tension extracted from Wilson loops is found only if the quantum fluctuations of the flux tube are properly taken into account. The central charge of the underlying conformal field theory is c = 1.

scholarly journals Anomalies from correlation functions in defect conformal field theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Christopher P. Herzog ◽  
Itamar Shamir
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Effective Action ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Point Function ◽  
Perfect Agreement ◽  
Conformal Field ◽  
Density Anomaly ◽  
The One

Abstract In previous work, we showed that an anomaly in the one point function of marginal operators is related by the Wess-Zumino condition to the Euler density anomaly on a two dimensional defect or boundary. Here we analyze in detail the two point functions of marginal operators with the stress tensor and with the displacement operator in three dimensions. We show how to get the boundary anomaly from these bulk two point functions and find perfect agreement with our anomaly effective action. For a higher dimensional conformal field theory with a four dimensional defect, we describe for the first time the anomaly effective action that relates the Euler density term to the one point function anomaly, generalizing our result for two dimensional defects.

scholarly journals Holographic entanglement entropy for noncommutative anti-de Sitter space

2016 ◽  
Vol 31 (12) ◽  
pp. 1650073
Author(s):  
Davood Momeni ◽  
Muhammad Raza ◽  
Ratbay Myrzakulov
Keyword(s):  
Field Theory ◽  
Hilbert Space ◽  
Conformal Field Theory ◽  
Surface State ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Quantum Effects ◽  
De Sitter ◽  
Conformal Field ◽  
Holographic Entanglement Entropy

A metric is proposed to explore the noncommutative form of the anti-de Sitter (AdS) space due to quantum effects. It has been proved that the noncommutativity in AdS space induces a single component gravitoelectric field. The holographic Ryu–Takayanagi (RT) algorithm is then applied to compute the entanglement entropy (EE) in dual CFT2. This calculation can be exploited to compute ultraviolet–infrared (UV–IR) cutoff dependent central charge of the certain noncommutative CFT2. This noncommutative computation of the EE can be interpreted in the form of the surface/state correspondence. We have shown that noncommutativity increases the dimension of the effective Hilbert space of the dual conformal field theory (CFT).

scholarly journals Simple space-time symmetries: Generalizing conformal field theory

2007 ◽  
Vol 48 (5) ◽  
pp. 052304 ◽  
Author(s):  
Gerhard Mack ◽  
Mathias de Riese
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Space Time ◽  
Conformal Field

scholarly journals Symmetry-resolved entanglement for excited states and two entangling intervals in AdS3/CFT2

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Konstantin Weisenberger ◽  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Excited States ◽  
Vertex Operator Algebra ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Chern Simons ◽  
Twist Fields

Abstract We test the proposal of [1] for the holographic computation of the charged moments and the resulting symmetry-resolved entanglement entropy in different excited states, as well as for two entangling intervals. Our holographic computations are performed in U(1) Chern-Simons-Einstein-Hilbert gravity, and are confirmed by independent results in a conformal field theory at large central charge. In particular, we consider two classes of excited states, corresponding to charged and uncharged conical defects in AdS3. In the conformal field theory, these states are generated by the insertion of charged and uncharged heavy operators. We employ the monodromy method to calculate the ensuing four-point function between the heavy operators and the twist fields. For the two-interval case, we derive our results on the AdS and the conformal field theory side, respectively, from the generating function method of [1], as well as the vertex operator algebra. In all cases considered, we find equipartition of entanglement between the different charge sectors. We also clarify an aspect of conformal field theories with a large central charge and $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry used in our calculations, namely the factorization of the Hilbert space into a gravitational Virasoro sector with large central charge, and a $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody sector.

scholarly journals Central charge bounds in 4D conformal field theory

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Riccardo Rattazzi ◽  
Slava Rychkov ◽  
Alessandro Vichi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Central Charge ◽  
Conformal Field

FOUR-DIMENSIONAL TWO-BRANE SOLUTION IN CHIRAL GAUGED WESS-ZUMINO-WITTEN MODEL

1992 ◽  
Vol 07 (32) ◽  
pp. 2999-3006 ◽  
Author(s):  
SWAPNA MAHAPATRA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Target Space ◽  
Curvature Singularity ◽  
One Dimensional ◽  
Conformal Field ◽  
Witten Theory ◽  
Brane Solution ◽  
The One ◽  
String Propagation

An exact conformal field theory describing a four-dimensional two-brane solution is found by considering a chiral gauged Wess-Zumino-Witten theory corresponding to SL (2, R)× R, where one gauges the one-dimensional U(1) subgroup together with a translation in R. The backgrounds for string propagation are explicitly obtained and the target space is shown to have a true curvature singularity.

UNITARY IRRATIONAL CENTRAL CHARGE ON COMPACT g I: $({\rm simply\mbox{-}laced~} g_x)_{\# \,}^{q \ge 2}$

1991 ◽  
Vol 06 (10) ◽  
pp. 1835-1857 ◽  
Author(s):  
M.B. HALPERN ◽  
N.A. OBERS
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Master Equation ◽  
Central Charge ◽  
Conformal Field

Following the recent construction of unitary irrational central charge on compact affine g, we begin a series of papers to report further solutions of the Virasoro master equation and related topics in irrational conformal field theory. This paper completes the maximal-symmetric subansatz by obtaining the three-parameter unitary irrational construction [Formula: see text], which contains the known solution [Formula: see text] and involves a root of a root generically.

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