Whitham Hierarchy and Generalized Picard–Fuchs Operators in the $\mathcal{N}$=2 Susy Yang–Mills Theory for Classical Gauge Groups - INSPIRE

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Whitham Hierarchy and Generalized Picard–Fuchs Operators in the $\mathcal{N}$ =2 Susy Yang–Mills Theory for Classical Gauge Groups

Jialiang Dai
(
- Zhejiang U.
)
,
Engui Fan
(
- Fudan U.
)

Apr 10, 2019

14 pages

Published in:

Teor.Mat.Fiz. 198 (2019) 3, 365-380,
Theor.Math.Phys. 198 (2019) 3, 317-330

Published: Apr 10, 2019

DOI:

10.1134/S0040577919030012

reference search1 citation

Citations per year

Abstract: (Springer)

We derive infinitely many meromorphic differentials based on the fractional powers of the superpotential arising from hyperelliptic curves. We obtain various differential equations expressed in terms of the moduli derivatives of the Seiberg–Witten differential. Taking advantage of the cross derivatives of these differentials, we can derive some Picard–Fuchs equations and use the Euler operator to obtain a complete set of Picard–Fuchs equations containing the instanton correction term. We solve the complete system of equations by expanding the moduli parameters in power series.

Whitham hierarchy
Picard–Fuchs equation
instanton correction
renormalization group parameter
hierarchy
Picard-Fuchs equation
supersymmetry: 2
Yang-Mills
instanton: correction
renormalization group

References(23)

Figures(0)

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