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2009

Recursion relations in CFT and N=2 SYM theory

Poghossian, Rubik

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Based on prototypical example of Al.Zamolodchikov's recursion relations for the four point conformal block and using recently proposed Alday-Gaiotto-Tachikawa (AGT) conjecture, recursion relations are derived for the generalized prepotential of ${\cal N}=2$ SYM with $f=0,1,2,3,4$ (anti) fundamental or an adjoint hypermultiplets.

In all cases the large expectation value limit is derived explicitly.
A precise relationship between generic 1-point conformal block on torus and specific 4-point conformal block on sphere is established.
In view of AGT conjecture this translates into a relation between partition functions with an adjoint and 4 fundamental hypermultiplets.

Recursion relations in CFT and N=2 SYM theory · Around

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A.Belavin, A.Polyakov, A.Zamolodchikov, Infinite conformal symmetry in two dimensional quantum field theory, Nucl.Phys., B241
1984
Earlier work this paper cites.
Al.Zamolodchikov. Conformal Symmetry In Two-Dimensions: An Explicit Recurrence Formula For The Conformal Partial Wave Amplitude Commun.Math.Phys., 96 (1984) 419; Conformal symmetry in two-dimensional space: Recursion repre- sentation of conformal block. Theor. Math. Phys. 73 (1987) 1088
1987
Earlier work this paper cites.
N.Seiberg and E.Witten, Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory, Nucl.Phys., B426
1994
Earlier work this paper cites.
A.B.Zamolodchikov , Al.B.Zamolodchikov, Structure Constants and Conformal Bootstrap in Liouville Field Theory, Nucl.Phys. B477
1996
Earlier work this paper cites.

Similar

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L.Alday, D.Gaiotto and Y.Tachikawa, Liouville Correlation Functions from Four-dimensional Gauge Theories, arXiv:0906.3219
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N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, arXiv:hep-th/0306238
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D. Gaiotto, N = 2 dualities, arXiv:0904.2715
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A.Marshakov, A.Mironov, A. Morozov, On Combinatorial Expansions of Conformal Blocks, arXiv:0907.3946
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D.Gaiotto, Asymptotically free N=2 theories and irregular conformal blocks arXiv:0908.0307
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Then

F.Fucito, J.F.Morales, R.Poghossian, A.Tanzini, N=1 Superpotentials from Multi-Instanton Calculus, JHEP0601:031,2006, arXiv:hep-th/0510173
2006
Later among the works it cites.
V.A. Fateev, A.V. Litvinov, A. Neveu, E. Onofri, Differential equation for four-point correlation function in Liouville field theory and elliptic four-point conformal blocks, J.Phys.A42:304011,2009, arXiv:0902.1331
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2009
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A. Marshakov, A. Mironov, A. Morozov, On non-conformal limit of the AGT relations, arXiv:0909.2052
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