RG equations from Whitham hierarchy

Gorsky, A.; Marshakov, A.; Mironov, A.; Morozov, A.

doi:10.1016/S0550-3213(98)00315-0

RG equations from Whitham hierarchy

A. Gorsky
(
- Moscow, ITEP
)
,
A. Marshakov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

Feb, 1998

24 pages

Published in:

Nucl.Phys.B 527 (1998) 690-716

e-Print:

hep-th/9802007 [hep-th]

DOI:

10.1016/S0550-3213(98)00315-0

Report number:

ITEP-TH-10-98,
FIAN-TD-01-98

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Abstract:

The second derivatives of prepotential with respect to Whitham time-variables in the Seiberg-Witten theory are expressed in terms of Riemann theta-functions. These formulas give a direct transcendental generalization of algebraic ones for the Kontsevich matrix model. In particular case they provide an explicit derivation of the renormalization group (RG) equation proposed recently in papers on the Donaldson theory.

Note:

24 pages, LaTeX, no figures (references improved) Report-no: ITEP/TH-10/98, FIAN/TD-01/98

gauge field theory: Yang-Mills
supersymmetry
any-dimensional
Seiberg-Witten model
field theory: Toda
renormalization group
geometry: algebra
Donaldson theory
bibliography

References(86)

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