Examples of M5-Brane Elliptic Genera

Abstract

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.

13 pages

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Cited by in corpus (16)

• Stability and duality in N=2 supergravity
• Multiple D3-instantons and mock modular forms I
• Vafa-Witten invariants from exceptional collections
• S-duality and refined BPS indices
• Black Hole Meiosis
• The elliptic genus from split flows and Donaldson-Thomas invariants
• Counting curves on surfaces in Calabi-Yau 3-folds
• Scaling Black Holes and Modularity
• Aspects of 5d Seiberg-Witten Theories on ${\mathbb{S}}^1$
• Supersymmetric black holes and $T\bar{T}$ deformation
• Flops and the S-duality conjecture
• Cyclification of Orbifolds
• Mock modularity at work, or black holes in a forest
• Modular anomaly of BPS black holes
• Elliptic genera from multi-centers
• Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds