Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives
نویسندگان
چکیده
We describe an expedient way to derive the CIV-DV prepotential in power series expansion in Si. This is based on integrations of equations for its derivatives ∂F/∂Tm with respect to additional (Whitham) moduli Tm. For illustrative purposes, we calculate explicitly the leading terms of the expansion and explicitly check some components of the WDVV equations to the leading order. Extension to any higher order is simple and algorithmic.
منابع مشابه
ar X iv : h ep - t h / 02 12 03 2 v 1 3 D ec 2 00 2 Calculating Gluino - Condensate Prepotential
We discuss the derivation of the CIV-DV prepotential for arbitrary power n + 1 of the original superpotential in the N = 1 SUSY YM theory (for arbitrary number n of cuts in the solution of the planar matrix model in the Dijkgraaf-Vafa interpretation). The goal is to hunt for structures, not so much for exact formulas, which are necessarily complicated, before the right language is found to repr...
متن کاملOn the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
We consider CIV-DV prepotential F forN = 1 SU(n) SYM theory at the extremum of the effective superpotential and prove the relation 2F − S ∂F ∂Si = −u2 2Λ2n (n2 − 1)
متن کاملWhitham Prepotential and Superpotential
N = 2 supersymmetric U(N) Yang-Mills theory softly broken to N = 1 by the superpotential of the adjoint scalar fields is discussed from the viewpoint of the Whitham deformation theory for prepotential. With proper identification of the superpotential we derive the matrix model curve from the condition that the mixed second derivatives of the Whitham prepotential have a nontrivial kernel. e-mail...
متن کاملRG Equations from Whitham Hierarchy
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 ...
متن کاملStrong Coupling Expansion and Seiberg–witten–whitham Equations
We study the Seiberg-Witten-Whitham equations in the strong coupling regime of the N = 2 super Yang-Mills theory in the vicinity of the maximal singularities. In the case of SU(2) the Seiberg-Witten-Whitham equations fix completely the strong coupling expansion. For higher rank SU(N) they provide a set of non-trivial constraints on the form of this expansion. As an example, we study the off-dia...
متن کامل