Chiral 2d Theories from N=4 SYM with Varying Coupling

Abstract

We study 2d chiral theories arising from 4d N=4 Super-Yang Mills (SYM) with varying coupling tau. The 2d theory is obtained by dimensional reduction of N=4 SYM on a complex curve with a partial topological twist that accounts for the non-constant tau. The resulting 2d theories can preserve (0,n) with n = 2, 4, 6, 8 chiral supersymmetry, and have a natural realization in terms of strings from wrapped D3-branes in F-theory. We determine the twisted dimensional reduction, as well as the spectrum and anomaly polynomials of the resulting strings in various dimensions. We complement this by considering the dual M-theory configurations, which can either be realized in terms of M5-branes wrapped on complex surfaces, or M2-branes on curves that result in 1d supersymmetric quantum mechanics.

78 pages, 2 figures, v2: references added

References in corpus (8)

• Algebraic structures on parallel M2-branes
• GUTs in Type IIB Orientifold Compactifications
• Brane Brick Models in the Mirror
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Topological duality twist and brane instantons in F-theory
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• M-theory on Calabi-Yau Five-Folds

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