F-theory and the Witten index

2011/03/31 by V. K. Oikonomou
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Geography #Index (typography) #Intersection (aeronautics) #M-theory #Mathematical physics #Philosophy #Physics #Quantum #Quantum mechanics #Quantum statistical mechanics #Sigma #Supergravity #Supersymmetric quantum mechanics #Supersymmetry #Theoretical physics #Zero (linguistics) #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2011.04.021

published as Nucl. Phys. B850(2011)273-286

openalex publication_date 2011/05/07 · arxiv created 2011/05/29 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We connect the fermionic fields, localized on the intersection curve Σ of two D7-branes with zero background flux, to a N=2 supersymmetric quantum mechanics algebra, within the theoretical framework of F-theory.

Citations

• Les Houches Lectures on Constructing String Vacua
• Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect
• Gauge coupling flux thresholds, exotic matter and the unification scale in F-SU(5) GUT
• Proton hexality in local grand unification
• On four-dimensional compactifications of F-theory
• SU(5)andSO(10)models from F-theory with natural Yukawa couplings
• Five-brane superpotentials and heterotic/F-theory duality
• Evidence for F-theory
• A note on local GUT models in F-theory
• Geometric singularities and enhanced gauge symmetries
• The D5-brane effective action and superpotential in N=1 compactifications
• Particle Physics Implications of F-Theory
• Model Building with F-Theory