dorsal/arxiv
View SchemaA Trinomial Analogue of Bailey's Lemma and N=2 Superconformal Invariance
| Authors | G. E. Andrews, A. Berkovich |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702008 |
| URL | https://arxiv.org/abs/q-alg/9702008 |
| DOI | 10.1007/s002200050298 |
Abstract
We propose and prove a trinomial version of the celebrated Bailey's lemma. As an application we obtain new fermionic representations for characters of some unitary as well as nonunitary models of N = 2 superconformal field theory (SCFT). We also establish interesting relations between N = 1 and N = 2 models of SCFT with central charges $(3/2)( 1 -{2(2 - 4\nu)^2}/{2(4\nu)})$ and $3(1 - 2/{4\nu})$. A number of new mock theta function identities are derived.
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"abstract": "We propose and prove a trinomial version of the celebrated Bailey\u0027s lemma. As\nan application we obtain new fermionic representations for characters of some\nunitary as well as nonunitary models of N = 2 superconformal field theory\n(SCFT). We also establish interesting relations between N = 1 and N = 2 models\nof SCFT with central charges $(3/2)( 1 -{2(2 - 4\\nu)^2}/{2(4\\nu)})$ and $3(1 -\n2/{4\\nu})$. A number of new mock theta function identities are derived.",
"arxiv_id": "q-alg/9702008",
"authors": [
"G. E. Andrews",
"A. Berkovich"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/s002200050298",
"title": "A Trinomial Analogue of Bailey\u0027s Lemma and N=2 Superconformal Invariance",
"url": "https://arxiv.org/abs/q-alg/9702008"
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