Letters in Mathematical Physics

, Volume 98, Issue 2, pp 133–156

Norm of Logarithmic Primary of Virasoro Algebra


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


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)

17B68 05E05 


Virasoro algebra singular vector free field realization Jack symmetric polynomials 

Copyright information

© Springer 2011

Authors and Affiliations

  1. 1.Department of MathematicsKobe UniversityRokko, KobeJapan

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