TY - JOUR
T1 - M-theory, type IIA superstrings, and elliptic cohomology
AU - Kriz, Igor
AU - Sati, Hisham
PY - 2004/4
Y1 - 2004/4
N2 - 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 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.
AB - 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 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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U2 - 10.4310/ATMP.2004.v8.n2.a3
DO - 10.4310/ATMP.2004.v8.n2.a3
M3 - Article
AN - SCOPUS:17844405922
VL - 8
SP - 345
EP - 394
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
SN - 1095-0761
IS - 2
ER -