Conference Presentation PUBDB-2015-05350

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TN partition functions and Toda 3-point functions



2015

Integrability in Gauge and String Theory (IGST 2015), IGST 2015, LondonLondon, UK, 13 Jul 2015 - 17 Jul 20152015-07-132015-07-17  GO

Abstract: Even though the TN theories have no Lagrangian description, we are able to derive their partition functions using 5-brane junctions and topological strings. Through the AGTW correspondence, we relate them to the 3-point functions of 2D Toda CFT with all three primaries arbitrary. Our proposed formula, has the correct symmetry properties, zeros and for N = 2 it gives the DOZZ answer for Liouville CFT. Finally, when we choose one of the primaries to have a null-vector descendant at level one we obtain from it the well-known formula by Fateev and Litvinov, thus presenting a highly non-trivial check of our proposal.


Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
  2. PO 1953/1-1 - Exact results in gauge theories (265593201) (265593201)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2015
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 Record created 2015-12-07, last modified 2021-11-10


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