# Unity of superstring dualities

@article{Hull1995UnityOS, title={Unity of superstring dualities}, author={Christopher M. Hull and Paul K. Townsend}, journal={Nuclear Physics}, year={1995}, volume={438}, pages={109-137} }

Abstract The effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 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 O(6, 6; Z ) and the S-duality group SL(2; Z ). We present evidence for the conjecture that E 7 ( Z ) is an exact ‘U-duality’ symmetry of type II string theory. This conjecture requires certain extreme black hole states to…

## 1,532 Citations

On S DUALITY OF TOROIDALLY COMPACTIFIED TYPE IIB STRING EFFECTIVE ACTION

- Physics
- 1998

It has been shown recently that the toroidally compactified type IIB string effective action possesses an SL(2, R) invariance as a consequence of the corresponding symmetry in ten dimensions when the…

T-duality and U-duality in toroidally compactified strings

- Physics
- 1998

Abstract We address the issue of T -duality and U -duality symmetries in the toroidally compactified type IIA string. It is customary to take as a starting point the dimensionally reduced maximal…

The heterotic string is a soliton

- Physics
- 1995

Abstract It is shown that the Type IIA superstring compactified on K 3 has a smooth string soliton with the same zero mode structure as the heterotic string compactified on a four-torus, thus…

T-duality and U-duality in toroidally-compactified strings

- Physics
- 1997

We address the issue of T-duality and U-duality symmetries in the toroidally-compactified type IIA string. It is customary to take as a starting point the dimensionally-reduced maximal supergravity…

Hidden finite symmetries in string theory and duality of dualities

- Physics
- 1996

Abstract Different compactifications of six-dimensional string theory on M 4 × T 2 are considered. Particular attention is given to the roles of the reduced modes as the S and T fields. It is shown…

Enhanced gauge symmetry in type II string theory

- Physics, Mathematics
- 1996

Abstract We show how enhanced gauge symmetry in type II string theory compactified on a Calabi-Yau threefold arises from singularities in the geometry of the target space. When the target space of…

T duality, and the K theoretic partition function of type IIA superstring theory

- Physics
- 2003

Abstract We study the partition function of type IIA string theory on 10-manifolds of the form T 2 × X , where X is 8-dimensional, compact, and spin. We pay particular attention to the effects of the…

Fivebranes, membranes and non-perturbative string theory

- Physics
- 1995

Abstract Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order e −1/ g s…

String-membrane duality in seven dimensions

- Physics
- 1995

Abstract The conjectured equivalence of the heterotic string to a K 3 compactified type IIA superstring is combined with the conjectured equivalence of the latter to a compactified 11-dimensional…

Dualities as symmetries of the Supermembrane Theory

- Physics
- 2012

In this note I review the role played by dualities in the Supermembrane Theory compactified on a torus. Supermembrane theory realize S, T, so U-duality, as exact symmetries of the theory. There are…

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