Hodge Duality and Cosmological Constant

Details Hodge Duality and Cosmological Constant Hodge Duality and Cosmological Constant

2004-04-13

arxiv.org/abs/hep-th/0404088v4

Mod.Phys.Lett. A21 (2006) 127-142

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures. Considerable changes have been made for the simplification of the mechanism

Scientific paper

10.1142/S0217732306019372

We present a simple mechanism to eliminate cosmological constants both in supersymmetric and non-supersymmetric theories. This mechanism is based on the Hodge (Poincare) duality between a 0-form and D-form field strengths in D-dimensional space-time. The new key ingredient is the introduction of an extra Chern-Simons term into the D-form field strength H dual to the 0-form field strength. Our formulation can be also made consistent with supersymmetry. Typical applications to four-dimensional N=1 supergravity and to ten-dimensional type IIA supergravity are given. The success of our formulation for both supersymmetric and non-supersymmetric systems strongly indicates the validity of our mechanism even after supersymmetry breakings at the classical level. Our mechanism may well be applicable to quantized systems, at least for supersymmetric cases with fundamental D-brane actions available.

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