Report/Journal Article

PUBDB-2015-02435

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Toda 3-point functions from topological strings

Mitev, V. ; Pomoni, E. (Corresponding author)DESY*

2015
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/JHEP06(2015)049  doi:10.3204/PUBDB-2015-02435

Report No.: DESY-14-160; arXiv:1409.6313

Abstract: We consider the long-standing problem of obtaining the 3-point functions of Toda CFT. Our main tools are topological strings and the AGT-W relation between gauge theories and 2D CFTs. In arXiv:1310.3841 we computed the partition function of 5D TN theories on S4×S1 and suggested that they should be interpreted as the three-point structure constants of q-deformed Toda. In this paper, we provide the exact AGT-W dictionary for this relation and rewrite the 5D TN partition function in a form that makes taking the 4D limit possible. Thus, we obtain a prescription for the computation of the partition function of the 4D TN theories on S4, or equivalently the undeformed 3-point Toda structure constants. Our formula, has the correct symmetry properties, the zeros that it should and, for N=2, gives the known answer for Liouville CFT.

Note: OA

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2015

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Database coverage:
; ; Current Contents - Physical, Chemical and Earth Sciences ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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