Norms of logarithmic primaries of Virasoro algebra

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.

arXiv commentrevised, 21 pages, to appear in Letters in Mathematical Physics

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Cited by in corpus (4)

• A slow review of the AGT correspondence
• Local logarithmic correlators as limits of Coulomb gas integrals
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• Recurrence relations for toric N=1 superconformal blocks