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Norms of logarithmic primaries of Virasoro algebra

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arxiv 1010.0528 v2 pith:PBATCNAF submitted 2010-10-04 math.QA hep-thmath-phmath.MP

Shintarou Yanagida This is my paper
classification math.QAhep-thmath-phmath.MP
keywords formulaalgebralogarithmicnormvirasoroalgebraicappearsfour-dimensional
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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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  1. Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form

    hep-th 2025-09 conditional novelty 7.0 of 10

    A new explicit level-by-level series for four-point Virasoro conformal blocks on the sphere, with coefficients fixed by singular-vector weights, differing from Zamolodchikov recursion and AGT forms.

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