English

Norms of logarithmic primaries of Virasoro algebra

Quantum Algebra 2011-06-28 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We give an algebraic proof of the formula on the norm of logarithmic primary of Virasoro algebra, which was proposed by Al. Zamolodchikov. This formula appears in the recursion formula for the norm of Gaiotto state, which guarantees the AGT relation for the four-dimensional SU(2) pure gauge theory.

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Cite

@article{arxiv.1010.0528,
  title  = {Norms of logarithmic primaries of Virasoro algebra},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1010.0528},
  year   = {2011}
}

Comments

revised, 21 pages, to appear in Letters in Mathematical Physics