scholarly journals Kondo Problem and Related One-dimensional Quantum Systems: Bethe Ansatz Solution and Boundary Conformal Field Theory

2005 ◽  
Vol 74 (1) ◽  
pp. 67-72 ◽  
Author(s):  
Satoshi Fujimoto ◽  
Norio Kawakami
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Quantum Systems ◽  
Kondo Problem ◽  
One Dimensional ◽  
Conformal Field ◽  
Bethe Ansatz Solution

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.

scholarly journals Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexey Litvinov ◽  
Ilya Vilkoviskiy
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Spin Chains ◽  
Unified Approach ◽  
Three Solutions ◽  
Integrable Structure ◽  
Conformal Field

Abstract In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as $$ \mathfrak{gl} $$ gl (1) affine Yangian “spin chains” with boundaries. We provide three solutions of Sklyanin KRKR equation compatible with the affine Yangian R-matrix and derive Bethe ansatz equations for the spectrum. Our analysis provides a unified approach to the integrable structures with BCD symmetry including superalgebras.

scholarly journals Conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting Fermi gases

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Jerome Dubail ◽  
Jean-Marie Stéphan ◽  
Jacopo Viti ◽  
Pasquale Calabrese
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Large Scale ◽  
Energy Scale ◽  
Quantum Gases ◽  
Fermi Gases ◽  
Quantum Critical Points ◽  
Curved Space ◽  
One Dimensional ◽  
Conformal Field

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited to situations in which the bulk is uniform because CFT describes low-energy excitations around some energy scale, taken to be constant throughout the system. However, in many experimental contexts, such as quantum gases in trapping potentials and in several out-of-equilibrium situations, systems are strongly inhomogeneous. We show here that the powerful CFT methods can be extended to deal with such 1D situations, providing a few concrete examples for non-interacting Fermi gases. The system's inhomogeneity enters the field theory action through parameters that vary with position; in particular, the metric itself varies, resulting in a CFT in curved space. This approach allows us to derive exact formulas for entanglement entropies which were not known by other means.

scholarly journals Integrability and conformal bootstrap: One dimensional defect conformal field theory

2022 ◽  
Vol 105 (2) ◽  
Author(s):  
Andrea Cavaglià ◽  
Nikolay Gromov ◽  
Julius Julius ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
One Dimensional ◽  
Conformal Field ◽  
Conformal Bootstrap

scholarly journals MASSIVE-CONFORMAL DICTIONARY

1994 ◽  
Vol 09 (32) ◽  
pp. 5753-5767 ◽  
Author(s):  
EZER MELZER
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Finite Volume ◽  
Energy Levels ◽  
Infinite Volume ◽  
Minimal Models ◽  
Combinatorial Interpretation ◽  
Conformal Field ◽  
Quantum Numbers

The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multiparticle states in infinite-volume (IR limit) and conformal states, which are approached at zero volume (UV limit). Each state is labeled in the IR by a set of “Bethe-ansatz quantum numbers,” while in the UV limit it is characterized primarily by the conformal dimensions of the conformal field creating it. We present explicit conjectures for the UV conformal dimensions corresponding to any IR state in the ϕ1, 3-perturbed minimal models ℳ(2, 5) and ℳ(3, 5). The conjectures, which are based on a combinatorial interpretation of the Rogers-Ramanujan-Schur identities, are consistent with numerical results obtained previously for low-lying energy levels.

scholarly journals SPECTRA IN CONFORMAL FIELD THEORIES FROM THE ROGERS DILOGARITHM

1992 ◽  
Vol 07 (37) ◽  
pp. 3487-3494 ◽  
Author(s):  
A. KUNIBA ◽  
T. NAKANISHI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Universal Form ◽  
Conformal Field ◽  
Functional Relations ◽  
Sum Formula ◽  
Dilogarithm Function

We propose a system of functional relations having a universal form connected to the [Formula: see text] Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the [Formula: see text] parafermion conformal field theory.

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