Abelian matrix models in two loops

Abstract

We perform a two-loop calculation of the effective Lagrangian for the low--energy modes of the quantum mechanical system obtained by dimensional reduction from 4D, N = 1 supersymmetric QED. The bosonic part of the Lagrangian describes the motion over moduli space of vector potentials A_i endowed with a nontrivial conformally flat metric. We determined the coefficient of the two-loop correction to the metric, which is proportional to 1/A^6. For the matrix model obtained from Abelian 4D, N = 2 theory, this correction vanishes, as it should.

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References in corpus (3)

• Three Graviton Scattering in M-Theory
• Born--Oppenheimer corrections to the effective zero-mode Hamiltonian in SYM theory
• Operator Product Expansion and Calculation of the Two-Loop Gell-Mann-Low Function

Cited by in corpus (2)

• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• Witten index in supersymmetric 3d theories revisited