Metric-independent measures for supersymmetric extended object theories on curved backgrounds

• Main Authors: Hitoshi Nishino, Subhash Rajpoot
• Format: Article
• Language: English
• Published: Elsevier 2014-09-01
• Series: Physics Letters B
• Subjects: Two-measure theory; Green–Schwarz superstring; Fermionic κ-symmetry; Supermembrane theory; Super-p-brane theory; Extended objects
• Online Access: http://www.sciencedirect.com/science/article/pii/S0370269314005280

For Green–Schwarz superstring σ-model on curved backgrounds, we introduce a non-metric measure Φ≡ϵijϵIJ(∂iφI)(∂jφJ) with two scalars φI(I=1,2) used in ‘Two-Measure Theory’ (TMT). As in the flat-background case, the string tension T=(2πα′)−1 emerges as an integration constant for the Ai-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.