منابع مشابه
Characters For Coset Conformal Field Theories
We present formulae for the characters of coset conformal field theories and apply these to specific examples to determine the integer shift of the conformal weights of primary fields. We also present an example of a coset conformal field theory which cannot be described by the identification current method.
متن کاملDilogarithm Identities and Characters of Exceptional Rational Conformal Field Theories
Based on our recently published article Fermionic Expressions for the Characters of cp,1 Logarithmic Conformal Field Theories in the journal Nuclear Physics B, fermionic sum representations for the characters of the W(2, 2p−1, 2p−1, 2p−1) series of triplet algebras are obtained, providing further evidence that these logarithmic theories constitute well-defined rational conformal field theories....
متن کاملFermionic Sum Representations for Conformal Field Theory Characters
We present sum representations for all characters of the unitary Virasoro minimal models. They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the latter related to the (bosonic) Feigin-Fuchs-Felder construction. We also give fermionic representations for certain characters of the general (G )k×(G )l (G)k+l coset conformal field theories, the non-unitary minimal m...
متن کاملTwining characters and Picard groups in rational conformal field theory
Picard groups of tensor categories play an important role in rational conformal field theory. The Picard group of the representation category C of a rational vertex algebra can be used to construct examples of (symmetric special) Frobenius algebras in C. Such an algebra A encodes all data needed to ensure the existence of correlators of a local conformal field theory. The Picard group of the ca...
متن کاملFlat Connections for Characters in Irrational Conformal Field Theory
Abstract Following the paradigm on the sphere, we begin the study of irrational conformal field theory (ICFT) on the torus. In particular, we find that the affine-Virasoro characters of ICFT satisfy heat-like differential equations with flat connections. As a first example, we solve the system for the general g/h coset construction, obtaining an integral representation for the general coset cha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2018
ISSN: 1029-8479
DOI: 10.1007/jhep04(2018)055