The analytic index for a family of Dirac-Ramond operators

Orlando Alvarez (1) , Paul Windey (2)

1 Dept. of Physics
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We derive a cohomological formula for the analytic index of the Dirac-Ramond operator and we exhibit its modular properties.

Mots clés: index theory; families index; Dirac-Ramond operator; elliptic genera; string theory; modular forms

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Orlando Alvarez, Paul Windey. The analytic index for a family of Dirac-Ramond operators. Proceedings of the National Academy of Sciences of the United States of America, 2010, 107 (11), pp.4845-4850. ⟨10.1073/pnas.0915124107⟩. ⟨hal-00380117⟩