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Unity of Superstring Dualities

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arxiv hep-th/9410167 v2 pith:VD6U6NPA submitted 1994-10-21 hep-th

C. M. Hull , P. K. Townsend This is my paper · ORCID
classification hep-th
keywords stringcompactificationstheorytypeconjecturegroupsymmetryaction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which contains both the T-duality group $SO(6,6;\Z)$ and the S-duality group $SL(2;\Z)$. We present evidence for the conjecture that $E_7(\Z)$ is an exact \lq U-duality' symmetry of type II string theory. This conjecture requires certain extreme black hole states to be identified with massive modes of the fundamental string. The gauge bosons from the Ramond-Ramond sector couple not to string excitations but to solitons. We discuss similar issues in the context of toroidal string compactifications to other dimensions, compactifications of the type II string on $K_3\times T^2$ and compactifications of eleven-dimensional supermembrane theory.

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