The M5-Brane Elliptic Genus: Modularity and BPS States
Davide Gaiotto, Andrew Strominger, Xi Yin
TL;DR
This paper computes the exact modified elliptic genus for an M5-brane on a Calabi-Yau threefold, revealing insights into BPS state degeneracies through modularity and holomorphy.
Contribution
It demonstrates the feasibility of calculating the modified elliptic genus for specific M5-brane configurations using modular invariance.
Findings
Exact modified elliptic genus for M5-brane on a hyperplane section of the quintic threefold
Verification of modular invariance constraints in genus computation
Insights into BPS state degeneracies in four-dimensional theories
Abstract
The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By holomorphy and modular invariance, it can be determined completely from the knowledge of a finite set of such BPS states. We show the feasibility of such a computation and determine the exact modified elliptic genus for an M5-brane wrapping a hyperplane section of the quintic threefold.
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