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Canonical approach to Courant brackets for D-branes

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Abstract

We present an extension of the Courant bracket to the ones for Dp-branes by analyzing Hamiltonians and local superalgebras. Contrast to the basis of the bracket for a fundamental string which consists of the momentum and the winding modes, the ones for Dp-branes contain higher rank R-R coupling tensors. We show that the R-R gauge transformation rules are obtained by these Courant brackets for Dp-branes where the Dirac-Born-Infeld gauge field and the “two-vierbein field” play an essential role. Canonical analysis of the worldvolume theories naturally gives the basis of the brackets and the target space backgrounds kee** T-duality manifest at least for NS-NS sector. In a D3-brane analysis S-duality is manifest as a symmetry of interchanging the NS-NS coupling and the R-R coupling.

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Authors and Affiliations

  1. KEK Theory Center, High Energy Accelerator Research Organization, Tsukuba, Ibaraki, 305-0801, Japan

    Machiko Hatsuda & Tetsuji Kimura

  2. Physics Department, Juntendo University, Tokyo, 270-1695, Japan

    Machiko Hatsuda

Authors
  1. Machiko Hatsuda
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  2. Tetsuji Kimura
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Correspondence to Machiko Hatsuda.

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ArXiv ePrint: 1203.5499

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Hatsuda, M., Kimura, T. Canonical approach to Courant brackets for D-branes. J. High Energ. Phys. 2012, 34 (2012). https://doi.org/10.1007/JHEP06(2012)034

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  • DOI: https://doi.org/10.1007/JHEP06(2012)034

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