期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2009/12/038
关键词
Supersymmetric gauge theory; Field Theories in Lower Dimensions; Solitons Monopoles and Instantons; Conformal and W Symmetry
资金
- Humboldt foundation of Germany
- EC [PIIF-GA-2008-221571]
- Supersymmetry, Quantum Gravity and Gauge Fields (SUPERFIELDS)
- Italian MIUR-PRIN [20075ATT78]
- [226455]
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 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.
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