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

Perturbative pomeron vertices and the conformal bootstrap

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645012
Author(s):  
Carlo Ewerz
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Perturbative Qcd ◽  
High Energy ◽  
Conformal Field ◽  
Energy Scattering ◽  
Conformal Bootstrap ◽  
High Energy Scattering

High energy scattering processes in QCD can be described in terms of interacting pomerons. Vertices for the interaction of pomerons have been derived in perturbative QCD. Their properties hint at the existence of a 2+1-dimensional conformal field theory of interacting pomerons. Here we study in particular the 1-to-2 and the 1-to-3 pomeron vertex and find them to be related to each other by a conformal bootstrap relation.

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 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.

CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY

1989 ◽  
Vol 04 (01) ◽  
pp. 115-142 ◽  
Author(s):  
V. V. BAZHANOV ◽  
N. YU. RESHETIKHIN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Critical Behavior ◽  
Field Theories ◽  
Dimensional Chain ◽  
Conformal Field Theories ◽  
One Dimensional ◽  
Conformal Field ◽  
Rsos Models ◽  
The One

The eigenvalues of the transfer matrix of the generalized RSOS model are exactly calculated. From the consideration of the thermodynamics of the quantum system on the one-dimensional chain connected with the RSOS model, we calculate the central charges of the effective conformal field theories describing the critical behavior of the model in different regimes.

scholarly journals On Galilean conformal bootstrap

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Bin Chen ◽  
Peng-xiang Hao ◽  
Reiko Liu ◽  
Zhe-fei Yu
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Inversion Formula ◽  
Conformal Symmetry ◽  
Taylor Series Expansion ◽  
Point Function ◽  
Conformal Field ◽  
Conformal Bootstrap ◽  
Free Theory ◽  
Exact Agreement

Abstract In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from the usual conformal field theory, the quasiprimary states in a GCFT constitute multiplets, which are block-diagonized under the Galilean boost operator. More importantly the multiplets include the states of negative norms, indicating the theory is not unitary. We compute global blocks of the multiplets, and discuss the expansion of four-point functions in terms of the global blocks of the multiplets. Furthermore we do the harmonic analysis for the Galilean conformal symmetry and obtain an inversion formula. As the first step to apply the Galilean conformal bootstrap, we construct generalized Galilean free theory (GGFT) explicitly. We read the data of GGFT by using Taylor series expansion of four-point function and the inversion formula independently, and find exact agreement. We discuss some novel features in the Galilean conformal bootstrap, due to the non-semisimpleness of the Galilean conformal algebra and the non-unitarity of the GCFTs.

scholarly journals PCT theorem, Wightman axioms and conformal bootstrap

2021 ◽  
Vol 36 (11) ◽  
pp. 2150072
Author(s):  
Jnanadeva Maharana
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Analytic Continuation ◽  
Crucial Role ◽  
Point Function ◽  
Bootstrap Equation ◽  
Conformal Field ◽  
Local Commutativity ◽  
Conformal Bootstrap ◽  
Wightman Axioms

The axiomatic Wightman formulation for nonderivative conformal field theory is adopted to derive conformal bootstrap equation for the four-point function. The equivalence between PCT theorem and weak local commutativity, due to Jost plays a very crucial role in axiomatic field theory. The theorem is suitably adopted for conformal field theory to derive the desired equations in CFT. We demonstrate that the two Wightman functions are analytic continuation of each other.

ON THE THEORY OF THE ONE-DIMENSIONAL LUTTINGER LIQUID

1993 ◽  
Vol 07 (09) ◽  
pp. 641-653 ◽  
Author(s):  
DJORDJE MINIC
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Luttinger Liquid ◽  
Point Of View ◽  
One Dimensional ◽  
Basic Properties ◽  
Conformal Field ◽  
The One

Basic properties of the one-dimensional Luttinger liquid are studied from the point of view of an effective conformal field theory.

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