AN ALGORITHM FOR THE MICROSCOPIC EVALUATION OF THE COEFFICIENTS OF THE SEIBERG–WITTEN PREPOTENTIAL

By R. Flume, R. Poghossian. 2002

281 citations recorded by the source corpus.

A procedure, allowing us to calculate the coefficients of the SW prepotential in the framework of the instanton calculus is presented. As a demonstration explicit calculations for 2, 3 and 4-instanton contributions are carried out.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/db151a1eb31e5195edbcd9d464301b5aadb7e31a

How researchers see this paper

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In Applied Mathematics

1. H. Kanno
2. Marcos Mariño
3. H. Awata
4. Masato Taki
5. Amer Iqbal
6. A. Klemm
7. Min-xin Huang
8. U. Bruzzo

In Atomic and Molecular Physics, and Optics

1. Masato Taki
2. A. Tanzini
3. H. Awata
4. U. Bruzzo
5. Amer Iqbal
6. Min-xin Huang
7. A. Kashani-Poor
8. L. Alday

Citations in the corpus

• SU(N) Geometries and Topological String Amplitudes (2003, methodology): “We are motivated to study the full quantity due to recent works [10, 11, 12] which obtain it, as reviewed in section 5, via instanton calculations within field theory.”
• Holomorphic anomaly in gauge theories and matrix models (2006, methodology): “can be calculated iteratively in the instanton number, 1/a(4) powers below, using localisation in the moduli space of gauge theory [15, 16, 18, 17] or worldsheet instantons [8, 9].”
• Multi-instanton calculus and equivariant cohomology (2002, methodology): “We examine the cases of N = 4 and N = 2 gauge theories with adjoint and fundamental matter.”
• Affine SL(2) Conformal Blocks from 4d Gauge Theories (2010, background): “The explicit form of zvector,hyper[~ Y ] was determined in [3, 18, 19, 20] and given, for instance, in appendix B to [2].”
• Instanton counting, Macdonald function and the moduli space of D-branes (2005, methodology): “In [ 42 ] [43] [27] the Nekrasov’s partition function for SU(Nc) Yang-Mills theory in a”
• How instanton combinatorics solves Painlevé VI, V and IIIs (2013, background): “In particular, the recently proven [1] AGT conjecture [2] relates them to instanton partition functions in N = 2 SUSY 4D Yang-Mills theories [6, 21, 43, 44], which can be expressed as sums over tuples of partitions.”
• Instanton Counting and Chern-Simons Theory (2002, methodology): “The above partition function is a limit (~1 = ~2 = ~) of a more general partition function discussed in [15, 16, 17].”
• Recursion relations in CFT and N=2 SYM theory (2009, methodology): “adjoint hyper-multiplets 5”
• Refined Topological Vertex and Instanton Counting (2007, methodology): “On the other hand, we can perform the instanton caluclation in the more general background of non self-dual graviphoton configuration, and we get the K-theoretic version of the Nekrasov’s partition function [7][14][15].”
• General instanton counting and 5d SCFT (2014, background): “This yields the following expression for the U(N) instanton partition function [49, 50]:”
• Gravitational corrections in supersymmetric gauge theory and matrix models (2002, methodology): “In section 5 we focus again on SU(2), N = 2 and we show that the results obtained in this paper agree with the direct instanton computations of [10,11], confirming in this way a conjecture of Nekrasov.”