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arXiv · 1411.3805

Metric-Independent Measures for Supersymmetric Extended Object Theories on Curved Backgrounds

Hitoshi Nishino·Subhash Rajpoot
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Abstract

For Green-Schwarz superstring sigma-model on curved backgrounds, we introduce a non-metric measure $Φ\equiv ε^{i j} ε^{I J} (\partial_i φ^I) (\partial_j φ^J)$ with two scalars $φ^I (I = 1, 2)$ used in Two Measure Theory (TMT). As in the flat-background case, the string tension $T= (2 πα' )^{-1}$ emerges as an integration constant for the A_i-field equation. This mechanism is further generalized to supermembrane theory, and to super p-brane theory, both on general curved backgrounds. This shows the universal applications of dynamical measure of TMT to general supersymmetric extended objects on general curved backgrounds.

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Hitoshi Nishino, Subhash Rajpoot. 2014-11-14. Metric-Independent Measures for Supersymmetric Extended Object Theories on Curved Backgrounds. https://doi.org/10.1016/j.physletb.2014.07.026

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