Recursion relations in CFT and N=2 SYM theory

By R. Poghossian. 2009

150 citations recorded by the source corpus.

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 = 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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/73b3ff3d0dc660ef4acb5c590225ea945dff39c6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Eric Perlmutter
2. K. Maruyoshi
3. G. Bonelli
4. A. Tanzini
5. Y. Yamada
6. Hiroshi Itoyama
7. T. Oota
8. A. Litvinov

In Nuclear and High Energy Physics

1. K. Maruyoshi
2. Eric Perlmutter
3. G. Bonelli
4. A. Tanzini
5. Y. Yamada
6. H. Awata
7. Hiroshi Itoyama
8. T. Oota

In Statistical and Nonlinear Physics

1. Eric Perlmutter
2. K. Maruyoshi
3. H. Awata
4. Y. Yamada
5. Hiroshi Itoyama
6. T. Oota
7. A. Litvinov
8. V. Fateev

Citations in the corpus

• The Quiver Matrix Model and 2d-4d Conformal Connection (2009, background): “These are followed by a number of extensive checks and pieces of supporting evidence [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36].”
• Five-dimensional AGT conjecture and the deformed Virasoro algebra (2009, background): “Various checks have been done in [9, 10] for example.”
• Wild quiver gauge theories (2011, background): “5) was proved in [46] by using recursion relations [47, 48, 49, 50].”
• On AGT conjecture (2009, background): “22) derived in this paper was considered recently in [13] and proved in [14].”
• Virasoro conformal blocks in closed form (2015, background): “It is known that Fτ is a special case of the sphere four-point block [22–24].”