Discrete Symmetries of Functional Determinants

Details Discrete Symmetries of Functional Determinants Discrete Symmetries of Functional Determinants

2000-09-11

arxiv.org/abs/hep-th/0009084v1

Nucl.Phys. B594 (2001) 501-517

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1016/S0550-3213(00)00650-7

We study discrete (duality) symmetries of functional determinants. An exact transformation of the effective action under the inversion of background fields $\beta (x) \to \beta^{-1}(x)$ is found. We show that in many cases this inversion does not change functional determinants. Explicitly studied models include a matrix theory in two dimensions, the dilaton-Maxwell theory in four dimensions on manifolds without a boundary, and a two-dimensional dilaton theory on manifolds with boundaries. Our results provide an exact relation between strong and weak coupling regimes with possible applications to string theory, black hole physics and dimensionally reduced models.

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