# Factorization constraints and boundary conditions in rational CFT

Banach Center Publications (2011)

- Volume: 93, Issue: 1, page 211-223
- ISSN: 0137-6934

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topCarl Stigner. "Factorization constraints and boundary conditions in rational CFT." Banach Center Publications 93.1 (2011): 211-223. <http://eudml.org/doc/282069>.

@article{CarlStigner2011,

abstract = {
Among (conformal) quantum field theories, the rational conformal field theories are singled out by the fact that their correlators can be constructed from a modular tensor category 𝓒 with a distinguished object, a symmetric special Frobenius algebra A in 𝓒, via the so-called TFT-construction. These correlators satisfy in particular all factorization constraints, which involve gluing homomorphisms relating correlators of world sheets of different topology.
We review the action of the gluing homomorphisms and discuss the implications of the factorization constraints for boundary conditions. The so-called classifying algebra 𝓐 for a RCFT is a semisimple commutative associative complex algebra, which classifies the boundary conditions of the theory. We show that the annulus partition functions can be obtained from the representation theory of 𝓐.
},

author = {Carl Stigner},

journal = {Banach Center Publications},

keywords = {conformal field theory; factorization constraints; boundary conditions; annulus partition functions},

language = {eng},

number = {1},

pages = {211-223},

title = {Factorization constraints and boundary conditions in rational CFT},

url = {http://eudml.org/doc/282069},

volume = {93},

year = {2011},

}

TY - JOUR

AU - Carl Stigner

TI - Factorization constraints and boundary conditions in rational CFT

JO - Banach Center Publications

PY - 2011

VL - 93

IS - 1

SP - 211

EP - 223

AB -
Among (conformal) quantum field theories, the rational conformal field theories are singled out by the fact that their correlators can be constructed from a modular tensor category 𝓒 with a distinguished object, a symmetric special Frobenius algebra A in 𝓒, via the so-called TFT-construction. These correlators satisfy in particular all factorization constraints, which involve gluing homomorphisms relating correlators of world sheets of different topology.
We review the action of the gluing homomorphisms and discuss the implications of the factorization constraints for boundary conditions. The so-called classifying algebra 𝓐 for a RCFT is a semisimple commutative associative complex algebra, which classifies the boundary conditions of the theory. We show that the annulus partition functions can be obtained from the representation theory of 𝓐.

LA - eng

KW - conformal field theory; factorization constraints; boundary conditions; annulus partition functions

UR - http://eudml.org/doc/282069

ER -

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