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Supersymmetry and the Atiyah-Singer index theorem
- L. Alvarez-Gaumé
- Physics, Mathematics
- 1 June 1983
Using a recently introduced index for supersymmetric theories, we present a simple derivation of the Atiyah-Singer index theorem for classical complexes and itsG-index generalization using elementary…
Theta functions, modular invariance, and strings
- L. Alvarez-Gaumé, G. Moore, C. Vafa
- Mathematics
- 1 March 1986
We use Quillen's theorem and algebraic geometry to investigate the modular transformation properties of some quantities of interest in string theory. In particular, we show that the spin structure…
Potentials for the supersymmetric nonlinear σ-model
- L. Alvarez-Gaumé, D. Freedman
- Physics
- 1 March 1983
The most general structure for potential terms compatible withN=1,N=2, andN=4 supersymmetry in the nonlinear σ-model in two space-time dimensions is determined. The differential geometry of the…
Supersymmetry and the Atiyah-Singer index theorem
- L. Alvarez-Gaumé
- Physics, Mathematics
- 1 March 1984
An O(16) × O(16) heterotic string
- L. Alvarez-Gaumé, P. Ginsparg, G. Moore, C. Vafa
- Physics
- 24 April 1986
Bosonization on higher genus Riemann surfaces
- L. Alvarez-Gaumé, J. Bost, G. Moore, P. Nelson, C. Vafa
- Mathematics
- 1 September 1987
We prove the equivalence between certain fermionic and bosonic theories in two spacetime dimensions. The theories have fields of arbitrary spin on compact surfaces with any number of handles. Global…
Some global aspects of duality in String Theory
- E. Álvarez, L. Alvarez-Gaumé, J. Barbón, Y. Lozano
- Mathematics
- 7 September 1993
Anomalies and odd dimensions
- L. Alvarez-Gaumé, S. D. Pietra, G. Moore
- Physics
- 1 September 1985
An Introduction to T-Duality in String Theory
- E. Álvarez, L. Alvarez-Gaumé, Y. Lozano
- Mathematics
- 31 October 1994
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