On the Real Part of a Conformal Field Theory

被引：0
|
作者：
Gepner, Doron [1 ]
Partouche, Herve [2 ]
机构：
[1] Weizmann Inst Sci, Dept Particle Phys, IL-76100 Rehovot, Israel
[2] CNRS, Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
来源：
UNIVERSE | 2018年 / 4卷 / 09期
关键词：
conformal field theory; string theory; VIRASORO ALGEBRAS; STRING THEORY; ORBIFOLDS; MANIFOLDS; MODELS;
D O I：
10.3390/universe4090097
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, <mml:semantics>SU(2)</mml:semantics> current algebra and the <mml:semantics>N=2</mml:semantics> minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Superspace conformal field theory
    Quella, Thomas
    Schomerus, Volker
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (49)
  • [2] Introduction to string theory and conformal field theory
    A. A. Belavin
    G. M. Tarnopolsky
    Physics of Atomic Nuclei, 2010, 73 : 848 - 877
  • [3] Parafermionic conformal field theory on the lattice
    Mong, Roger S. K.
    Clarke, David J.
    Alicea, Jason
    Lindner, Netanel H.
    Fendley, Paul
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (45)
  • [4] Yangian superalgebras in conformal field theory
    Creutzig, Thomas
    NUCLEAR PHYSICS B, 2011, 849 (03) : 636 - 653
  • [5] Conformal field theory in conformal space
    Preitschopf, C
    Vasiliev, MA
    NUCLEAR PHYSICS B, 1999, 549 (1-2) : 450 - 480
  • [6] Erratum: Conformal field theory of Painlevé VI
    O. Gamayun
    N. Iorgov
    O. Lisovyy
    Journal of High Energy Physics, 2012 (10)
  • [7] ε-expansion in critical φ3-theory on real projective space from conformal field theory
    Hasegawa, Chika
    Nakayama, Yu
    MODERN PHYSICS LETTERS A, 2017, 32 (07)
  • [8] Convergence in Conformal Field Theory
    Yi-Zhi Huang
    Chinese Annals of Mathematics, Series B, 2022, 43 : 1101 - 1124
  • [9] Decoherence in conformal field theory
    del Campo, Adolfo
    Takayanagi, Tadashi
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (02)
  • [10] On conformal field theory of SLE(κ, ρ)
    Kytola, Kalle
    JOURNAL OF STATISTICAL PHYSICS, 2006, 123 (06) : 1169 - 1181
12345