D1-brane in Constant R-R 3-form Flux and Nambu Dynamics in String Theory - High Energy Physics - TheoryReport as inadecuate




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Abstract: We consider D1-string in a constant R-R 3-form flux background and analyzeits low energy limit. The leading order low energy theory has reparametrizationsymmetry and is a generalization of an earlier work by Takhtajan. We show thatthe dynamical evolution of the theory takes a generalized Hamiltonian form interms of a Nambu bracket. This description is formulated in terms ofreparametrization invariant quantities and requires no fixing of thereparametrization symmetry. We also show that a Nambu- Poisson p + 2-bracketarises naturally in the reparametrization invariant description of the lowenergy theory of a p-brane in a constant p + 2-form flux background. Forexample, our results apply for a fundamental string in a constant NS-NS 3-formflux H3 and an M2-brane in a constant 4-form flux F4.



Author: Chong-Sun Chu, Pei-Ming Ho

Source: https://arxiv.org/







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