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arxiv: 1010.0528 · v2 · pith:PBATCNAFnew · submitted 2010-10-04 · 🧮 math.QA · hep-th· math-ph· math.MP

Norms of logarithmic primaries of Virasoro algebra

classification 🧮 math.QA hep-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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