pith. machine review for the scientific record. sign in

arxiv: hep-th/0206161 · v1 · submitted 2002-06-18 · ✦ hep-th

Recognition: unknown

Seiberg-Witten Prepotential From Instanton Counting

Nikita A. Nekrasov
Authors on Pith no claims yet
classification ✦ hep-th
keywords prepotentialseiberg-wittenaccomplishedagreeavailablecalculationsconjecturecounting
0
0 comments X
read the original abstract

Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested some time ago. Our results agree with all low-instanton calculations available in the literature. We present a two-parameter generalization of the Seiberg-Witten prepotential, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. $S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

    hep-th 2026-03 conditional novelty 7.0

    Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.

  2. Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

    hep-th 2026-02 unverdicted novelty 7.0

    Deformed quantum mechanics from Seiberg-Witten curves shows phases with real or complex instantons, leading to tunneling suppression at Toda points and anomalous scaling at critical monopole points.

  3. Exact WKB and Quantum Periods for Extremal Black Hole Quasinormal Modes

    hep-th 2026-05 unverdicted novelty 6.0

    Exact WKB with high-order quantum period computations and Borel-Padé resummation reproduces quasinormal mode frequencies for extremal Reissner-Nordström and Kerr black holes.

  4. Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential

    hep-th 2026-04 unverdicted novelty 6.0

    A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.

  5. Wall-crossing of Instantons on the Blow-up

    hep-th 2026-04 unverdicted novelty 6.0

    Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-...

  6. Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

    hep-th 2026-04 unverdicted novelty 6.0

    A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.