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Pis'ma v Zh. Èksper. Teoret. Fiz., 2009, Volume 90, Issue 11, Pages 803–807 (Mi jetpl598)  

This article is cited in 30 scientific papers (total in 30 papers)

FIELDS, PARTICLES, AND NUCLEI

Non-conformal limit of AGT relation from the 1-point torus conformal block

V. Albaabcd, A. A. Morozovea

a Institute for Theoretical and Experimental Physics
b Department of General and Applied Physics, Moscow Institute of Physics and Technology
c Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
d Landau Institute for Theoretical Physics RAS
e Physical Department, Moscow State University

Abstract: Given a $4d$ $\mathcal N=2$ SYM theory, one can construct the Seiberg-Witten prepotentional, which involves a sum over instantons. Integrals over instanton moduli spaces require regularisation. For UV-finite theories the AGT conjecture favours particular, Nekrasov's way of regularization. It implies that Nekrasov's partition function equals conformal blocks in $2d$ theories with $W_{N_c}$ chiral algebra (virasoro algebra in our case). For $N_c=2$ and one adjoint multiplet it coincides with a torus 1-point Virasoro conformal block. We check the AGT relation between conformal dimension and adjoint multiplet's mass in this case and investigate the large mass limit of the conformal block, which corresponds to asymptotically free $4d$ $\mathcal N=2$ super symmetric Yang-Mills theory. Though technically more involved, the limit is the same as in the case of fundamental multiplets, and this provides one more non-trivial check of AGT conjecture.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2009, 90:11, 708–712

Bibliographic databases:

PACS: 11.15.-q, 11.25.Hf
Received: 03.11.2009
Language:

Citation: V. Alba, A. A. Morozov, “Non-conformal limit of AGT relation from the 1-point torus conformal block”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:11 (2009), 803–807; JETP Letters, 90:11 (2009), 708–712

Citation in format AMSBIB
\Bibitem{AlbMor09}
\by V.~Alba, A.~A.~Morozov
\paper Non-conformal limit of AGT relation from the 1-point torus conformal block
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2009
\vol 90
\issue 11
\pages 803--807
\mathnet{http://mi.mathnet.ru/jetpl598}
\transl
\jour JETP Letters
\yr 2009
\vol 90
\issue 11
\pages 708--712
\crossref{https://doi.org/10.1134/S0021364009230040}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949355107}


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