Interpreting elliptic genera as indices of Dirac-Ramond operators as would-be Dirac operators on smooth loop space:
Orlando Alvarez, Timothy P. Killingback, Michelangelo Mangano, Paul Windey: The Dirac-Ramond operator in string theory and loop space index theorems, Nuclear Phys. B Proc. Suppl., 1A (1987) 189-215 [doi:10.1016/0920-5632(87)90110-1, inSpire:245540]
Orlando Alvarez, Timothy P. Killingback, Michelangelo Mangano, Paul Windey: String theory and loop space index theorems, Comm. Math. Phys. 111 1 (1987) 1-10 [doi:10.1007/BF01239011, euclid:cmp/1104159462]
Orlando Alvarez, Paul Windey, Analytic index for a family of Dirac-Ramond operators, Proc. Natl. Acad. Sci. USA, 107(11):4845–4850, 2010 (arXiv:0904.4748)
On the Schwinger effect:
Ian Affleck, Orlando Alvarez, Nicholas Manton, Pair production at strong coupling in weak external fields, Nuclear Physics B Volume 197, Issue 3 (1982) Pages 509-519 (doi:10.1016/0550-3213(82)90455-2)
(via worldline formalism)
Formulating Dirac charge quantization via Čech cohomology:
Orlando Alvarez, Cohomology and Field Theory, talk at: Symposium on Anomalies, Geometry, Topology, Argonne IL (28-30 March 1985) [inspire:965785, pdf, pdf]
Orlando Alvarez, Topological quantization and cohomology, Comm. Math. Phys. 100 2 (1985) 279-309 [doi:10.1007/BF01212452, euclid:cmp/1103943448]
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