Letters in Mathematical Physics

, Volume 98, Issue 2, pp 133–156

Norm of Logarithmic Primary of Virasoro Algebra

Authors

    • Department of MathematicsKobe University
Article

DOI: 10.1007/s11005-011-0502-0

Cite this article as:
Yanagida, S. Lett Math Phys (2011) 98: 133. doi:10.1007/s11005-011-0502-0
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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.

Mathematics Subject Classification (2000)

17B6805E05

Keywords

Virasoro algebrasingular vectorfree field realizationJack symmetric polynomials
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© Springer 2011