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

Abstract

For Green-Schwarz superstring sigma-model on curved backgrounds, we introduce a non-metric measure $\Phi \equiv {\epsilon }^{ij}{\epsilon }^{IJ}({\partial }_i{\phi }^I)({\partial }_j{\phi }^J)$ with two scalars ${\phi }^I(I=1,2)$ used in Two Measure Theory (TMT). As in the flat-background case, the string tension $T=(2\pi {\alpha }^{\prime }{)}^{-1}$ 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.

arXiv comment14 pages, no figures

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