Mirror symmetry and exact solution of 4d N= 2 gauge theories I

S Katz, P Mayr, C Vafa - arxiv preprint hep-th/9706110, 1997 - arxiv.org
Using geometric engineering in the context of type II strings, we obtain exact solutions for the
moduli space of the Coulomb branch of all N= 2 gauge theories in four dimensions involving …

Lectures on supersymmetric Yang-Mills theory and integrable systems

E D'Hoker, DH Phong - Theoretical Physics at the End of the Twentieth …, 2002 - Springer
We present a series of four self-contained lectures on the following topics;(I) An introduction
to 4-dimensional 1≤ N≤ 4 supersymmetric Yang-Mills theory, including particle and field …

[PDF][PDF] On the geometry behind N= 2 supersymmetric effective actions in four dimensions

A Klemm - arxiv preprint hep-th/9705131, 1997 - arxiv.org
arxiv:hep-th/9705131v2 30 Jan 1998 Page 1 arxiv:hep-th/9705131v2 30 Jan 1998 On the
Geometry behind N = 2 Supersymmetric Effective Actions in Four Dimensions.∗ A. Klemm …

The Picard–Fuchs equation in classical and quantum physics: application to higher-order WKB method

M Kreshchuk, T Gulden - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Abstract The Picard–Fuchs equation is a powerful mathematical tool which has numerous
applications in physics, for it allows one to evaluate integrals without resorting to direct …

Nonholomorphic terms in supersymmetric Wilsonian actions and the renormalization group equation

D Bellisai, F Fucito, M Matone, G Travaglini - Physical Review D, 1997 - APS
In this paper we first investigate the ansatz of one of the present authors for K (Ψ, Ψ), the
adimensional, modular-invariant, nonholomorphic correction to the Wilsonian effective …

Flat coordinates, topological Landau-Ginzburg models and the Seiberg-Witten period integrals

K Ito, SK Yang - Physics Letters B, 1997 - Elsevier
We study the Picard-Fuchs differential equations for the Seiberg-Witten period integrals in
N= 2 supersymmetric Yang-Mills theory. For ADE gauge groups we derive the Picard-Fuchs …

Seiberg–Witten duality in Dijkgraaf–Vafa theory

M Matone - Nuclear Physics B, 2003 - Elsevier
We show that a suitable rescaling of the matrix model coupling constant makes manifest the
duality group of the N= 2 SYM theory with gauge group SU (2). This is done by first …

One-instanton test of a Seiberg-Witten curve from M-theory: the antisymmetric representation of SU (N)

SG Naculich, H Rhedin, HJ Schnitzer - Nuclear physics B, 1998 - Elsevier
One-instanton predictions are obtained from the Seiberg-Witten curve derived from M-theory
by Landsteiner and Lopez for the Coulomb branch of N= 2 supersymmetric SU (N) gauge …

Seiberg-Witten theory, symplectic forms, and Hamiltonian theory of solitons

E D'Hoker, IM Krichever, DH Phong - arxiv preprint hep-th/0212313, 2002 - arxiv.org
This is an expanded version of lectures given in Hangzhou and Bei**g, on the symplectic
forms common to Seiberg-Witten theory and the theory of solitons. Methods for evaluating …

On the WDVV equation and M-theory

JM Isidro - Nuclear Physics B, 1999 - Elsevier
A wide class of Seiberg-Witten models constructed by M-theory techniques and described
by non-hyperelliptic Riemann surfaces are shown to possess an associative algebra of …