String theory and loop space index theorems
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Publication:1092489
DOI10.1007/BF01239011zbMath0627.58033OpenAlexW2042624943MaRDI QIDQ1092489
Orlando Alvarez, Paul Windey, Michelangelo L. Mangano, Timothy P. Killingback
Publication date: 1987
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01239011
Applications of global analysis to the sciences (58Z05) Index theory and related fixed-point theorems on manifolds (58J20)
Related Items
Tensionless strings and the weak gravity conjecture, Squashed toric sigma models and mock modular forms, Dressed elliptic genus of heterotic compactifications with torsion and general bundles, String structures and the index of the Dirac-Ramond operator on orbifolds, Super Brownian motion on a loop group., Heterotic/type I duality and D-brane instantons, Geometric interpretation of the large \(N=4\) index, String theory of supertubes, Hodge-elliptic genera and how they govern \(K3\) theories, A twist in the \(M_{24}\) moonshine story, Localization on \(\mathrm{AdS}_3\times\mathrm{S}^2\). I: The 4d/5d connection in off-shell Euclidean supergravity, Beyond the string genus, \textit{Ab initio} wall-crossing, Squashed toric manifolds and higher depth mock modular forms, Proof of the family index theorem via a path integral, Quantum Black Holes, The Dirac-Ramond operator in string theory and loop space index theorems, Heterotic versus type I, Quasi-Jacobi forms, elliptic genera and strings in four dimensions, Analytic index for a family of Dirac–Ramond operators, The overarching finite symmetry group of Kummer surfaces in the Mathieu group \(M_{24}\), Beyond the elliptic genus, The supersymmetric sigma model, topological quantum mechanics and knot invariants, The Dirac-Ramond operator on loops in flat space
Cites Work
- Unnamed Item
- Unnamed Item
- Elliptic genera and quantum field theory
- Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
- Operator content of two-dimensional conformally invariant theories
- Determinants, torsion, and strings
- Circle actions on spin manifolds and characteristic numbers
- Proof of character-valued index theorems
- Stochastic and parastochastic aspects of supersymmetric functional measures: A new non-perturbative approach to supersymmetry
- A Lefschetz fixed point formula for elliptic complexes. I
- The index of elliptic operators. II
- The index of elliptic operators. III
- A Lefschetz fixed point formula for elliptic complexes. II: Applications
- Semi-infinite cohomology and string theory
- Topology of gauge theories on compact 4-manifolds
- Supersymmetry and the Atiyah-Singer index theorem
- The Dirac-Ramond operator in string theory and loop space index theorems