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arXiv · hep-th/9601150

Duality of Type II 7-branes and 8-branes

E. Bergshoeff·M. de Roo·M. B. Green·G. Papadopoulos·P. K. Townsend
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Abstract

We present a version of ten-dimensional IIA supergravity containing a 9-form potential for which the field equations are equivalent to those of the standard, massless, IIA theory for vanishing 10-form field strength, $F_{10}$, and to those of the `massive' IIA theory for non-vanishing $F_{10}$. We present a multi 8-brane solution of these equations that generalizes the 8-brane of Polchinski and Witten. We show that this solution is T-dual to a new multi 7-brane solution of $S^1$ compactified IIB supergravity, and that the latter is T-dual to the IIA 6-brane. When combined with the $Sl(2;\Z)$ U-duality of the type IIB superstring, the T-duality between type II 7-branes and 8-branes implies a quantization of the cosmological constant of type IIA superstring theory. These results are made possible by the construction of a new {\it massive} N=2 D=9 supergravity theory. We also discuss the 11-dimensional interpretation of these type II p-branes.

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E. Bergshoeff, M. de Roo, M. B. Green, G. Papadopoulos, P. K. Townsend. 1996-05-06. Duality of Type II 7-branes and 8-branes. https://doi.org/10.1016/0550-3213(96)00171-x

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