Abstract
We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic \( {5}_2^2 \)-branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional \( \mathcal{N} \) = (2, 0) tensor and the \( \mathcal{N} \) = (1, 1) vector multiplets. We show that the current algebras are determined through the S- and T-dualities. The algebras of the \( \mathcal{N} \) = (2, 0) theories are characterized by the Dirac bracket caused by the self-dual gauge field in the five-brane worldvolumes, while those of the \( \mathcal{N} \) = (1, 1) theories are given by the Poisson bracket. By the use of these algebras, we examine extended spaces in terms of tensor coordinates which are the representation of ten-dimensional supersymmetry. We also examine the transition rules of the currents in the type IIA/IIB supersymmetry algebras in ten dimensions. Based on the algebras, we write down the section conditions in the extended spaces and gauge transformations of the supergravity fields.
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Hatsuda, M., Sasaki, S. & Yata, M. Five-brane current algebras in type II string theories. J. High Energ. Phys. 2021, 298 (2021). https://doi.org/10.1007/JHEP03(2021)298
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DOI: https://doi.org/10.1007/JHEP03(2021)298