From strings in 6d to strings in 5d

Abstract

We show how recent progress in computing elliptic genera of strings in six dimensions can be used to obtain expressions for elliptic genera of strings in five-dimensional field theories which have a six-dimensional parent. We further connect our results to recent mathematical results about sheaf counting on ruled surfaces.

17 pages, 4 figures. v3: Definitions clarified, Section "Concluding Thoughts" added

References in corpus (6)

• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• Strings of Minimal 6d SCFTs
• Crossing the Wall: Branes vs. Bundles
• E + E $\to$ H
• M String, Monopole String and Modular Forms
• Invariants of moduli spaces of stable sheaves on ruled surfaces

Cited by in corpus (14)

• Universal Features of BPS Strings in Six-dimensional SCFTs
• Instanton-Monopole Correspondence from M-Branes on ${\mathbb{S}}^1$ and Little String Theory
• M String, Monopole String and Modular Forms
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• Self-Duality and Self-Similarity of Little String Orbifolds
• D-type fiber-base duality
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Bound States of Little Strings and Symmetric Orbifold CFTs
• New Supersymmetric Localizations from Topological Gravity
• Five-Brane Webs and Highest Weight Representations
• Dihedral Symmetries of Gauge Theories from Dual Calabi-Yau Threefolds
• Intersection cohomology of moduli spaces of sheaves on surfaces
• Topological vertex for Higgsed 5d $T_N$ theories
• Domain walls and M2-branes partition functions: M-theory and ABJM Theory