Simplectic Geometry and the Canonical Variables for Dirac–Nambu–Goto and Gauss–Bonnet System in String Theory |
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| Authors: | Alberto Escalante |
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| Affiliation: | (1) Departamento de Física, Centro de Investigación y de Estudios Avanzados del I.P.N., Apdo Postal 14-740, Puebla Pue, 07000, México;(2) Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570 Puebla Pue, México |
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| Abstract: | Using a strongly covariant formalism given by Carter for the deformations dynamics of p-branes in a curved background and a covariant and gauge invariant geometric structure constructed on the corresponding Witten's phase space, we identify the canonical variables for Dirac–Nambu–Goto (DNG) and Gauss–Bonnet (GB) system in string theory. Future extensions of the present results are outlined. |
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| Keywords: | symplectic geometry string theory quantization |
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