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April, 2004 M-theory, type IIA superstrings, and elliptic cohomology
Igor Kriz, Hisham Sati
Adv. Theor. Math. Phys. 8(2): 345-394 (April, 2004).


The topological part of the M-theory partition function was shown by Witten to be encoded in the index of an E8 bundle in eleven dimensions. This partition function is, however, not automatically anomalyfree. We observe here that the vanishing W7 = 0 of the Diaconescu-Moore-Witten anomaly [1] in IIA and compactified M-theory partition function is equivalent to orientability of spacetime with respect to (complex-oriented) elliptic cohomology. Motivated by this, we define an elliptic cohomology correction to the IIA partition function, and propose its relationship to interaction between 2- and 5-branes in the M-theory limit.


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Igor Kriz. Hisham Sati. "M-theory, type IIA superstrings, and elliptic cohomology." Adv. Theor. Math. Phys. 8 (2) 345 - 394, April, 2004.


Published: April, 2004
First available in Project Euclid: 3 August 2004

zbMATH: 1082.81070
MathSciNet: MR2086925

Rights: Copyright © 2004 International Press of Boston

Vol.8 • No. 2 • April, 2004
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