Examples of M5-Brane Elliptic Genera

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages

Scientific paper

10.1088/1126-6708/2007/11/004

We determine the modified elliptic genus of an M5-brane wrapped on various
one modulus Calabi-Yau spaces, using modular invariance together with some
known Gopakumar-Vafa invariants of small degrees. As a bonus, we find
nontrivial relations among Gopakumar-Vafa invariants of different degrees and
genera from modular invariance.

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