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High Energy Physics - Theory

arXiv:hep-th/0404013 (hep-th)
[Submitted on 2 Apr 2004 (v1), last revised 24 Sep 2004 (this version, v3)]

Title:M Theory, Type IIA Superstrings, and Elliptic Cohomology

Authors:Igor Kriz, Hisham Sati
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Abstract: 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 anomaly-free. We observe here that the vanishing W_7=0 of the Diaconescu-Moore-Witten anomaly 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-branes and 5-branes in the M-theory limit.
Comments: 51 pages, latex2e, typos corrected. Published version
Subjects: High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT)
Cite as: arXiv:hep-th/0404013
  (or arXiv:hep-th/0404013v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0404013
Journal reference: Adv.Theor.Math.Phys. 8 (2004) 345-395

Submission history

From: Hisham Sati [view email]
[v1] Fri, 2 Apr 2004 14:11:08 UTC (37 KB)
[v2] Mon, 12 Apr 2004 14:09:00 UTC (42 KB)
[v3] Fri, 24 Sep 2004 00:21:04 UTC (43 KB)
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