scholarly journals Negativity spectrum of one-dimensional conformal field theories

2016 ◽  
Vol 94 (19) ◽  
Author(s):  
Paola Ruggiero ◽  
Vincenzo Alba ◽  
Pasquale Calabrese
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
One Dimensional ◽  
Conformal Field

QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES

1990 ◽  
Vol 05 (04) ◽  
pp. 803-832 ◽  
Author(s):  
A. YU. MOROZOV ◽  
A.M. PERELOMOV ◽  
A.A. ROSLY ◽  
M.A. SHIFMAN ◽  
A.V. TURBINER
Keyword(s):  
Mathematical Formulation ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Solvable Models ◽  
One Dimensional ◽  
Conformal Field ◽  
Exactly Solvable ◽  
Solvable Problems ◽  
Shed Light ◽  
Ordinary Quantum

The class of quasi-exactly-solvable problems in ordinary quantum mechanics discovered recently shows remarkable parallels with rational two-dimensional conformal field theories. This fact suggests that investigation of the quasi-exactly-solvable models may shed light on rational conformal field theories. We discuss a relation between these two theoretical schemes and propose a mathematical formulation for the procedure of constructing quasi-exactly solvable systems. This discussion leads us to a kind of generalization of the Sugawara construction.

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.

RECENT DEVELOPMENTS OF ALGEBRAIC METHODS IN QUANTUM FIELD THEORIES

1992 ◽  
Vol 06 (11n12) ◽  
pp. 2041-2059 ◽  
Author(s):  
B. SCHROER
Keyword(s):  
Algebraic Methods ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Conformal Field Theories ◽  
One Dimensional ◽  
Conformal Field ◽  
Recent Developments

Recent results obtained by modular methods concerning the algebraic origin of spacetime covariance from modular and dual properties of causal nets are presented. Particular emphasis is given to one-dimensional nets which are important in the classification of chiral conformal field theories.

scholarly journals Defects and perturbation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm
Keyword(s):  
Entanglement Entropy ◽  
Topological Defects ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.

scholarly journals Entanglement and complexity of purification in ( 1+1 )-dimensional free conformal field theories

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Hugo A. Camargo ◽  
Lucas Hackl ◽  
Michal P. Heller ◽  
Alexander Jahn ◽  
Tadashi Takayanagi ◽  
...  
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals NON-ABELIAN FRACTIONAL QUANTUM HALL STATES AND CHIRAL COSET CONFORMAL FIELD THEORIES

2000 ◽  
Vol 15 (30) ◽  
pp. 4857-4870 ◽  
Author(s):  
D. C. CABRA ◽  
E. FRADKIN ◽  
G. L. ROSSINI ◽  
F. A. SCHAPOSNIK
Keyword(s):  
Quantum Hall ◽  
Field Theories ◽  
Simons Theory ◽  
Conformal Field Theories ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Conformal Field ◽  
Quantum Hall States ◽  
Effective Lagrangian ◽  
Chern Simons

We propose an effective Lagrangian for the low energy theory of the Pfaffian states of the fractional quantum Hall effect in the bulk in terms of non-Abelian Chern–Simons (CS) actions. Our approach exploits the connection between the topological Chern–Simons theory and chiral conformal field theories. This construction can be used to describe a large class of non-Abelian FQH states.

scholarly journals Constructing Carrollian CFTs

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nishant Gupta ◽  
Nemani V. Suryanarayana
Keyword(s):  
Scalar Fields ◽  
Higher Dimensions ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Relativistic Limit ◽  
Conformal Field ◽  
Local Symmetries ◽  
Derivatives Of ◽  
Special Case

Abstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.

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