Analytic index for a family of Dirac–Ramond operators

DOI10.1073/pnas.0915124107zbMath1205.58013arXiv0904.4748OpenAlexW2011312246WikidataQ33739981 ScholiaQ33739981MaRDI QIDQ3073970

Orlando Alvarez, Paul Windey

Publication date: 12 February 2011

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4748

zbMATH Keywords

modular formsstring theoryelliptic generaindex theoryfamilies index

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Index theory and related fixed-point theorems on manifolds (58J20) Elliptic genera (58J26) Relations with algebraic geometry and topology (11F23)

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Cites Work

• Elliptic genera and quantum field theory
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• String theory and loop space index theorems
• Circle actions on spin manifolds and characteristic numbers
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• On family rigidity theorems. I
• Elliptic spectra, the Witten genus and the theorem of the cube
• The fundamental equations of a submersion
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• Quantal phase factors accompanying adiabatic changes
• Supersymmetry and the Atiyah-Singer index theorem
• The Dirac-Ramond operator in string theory and loop space index theorems