Five-dimensional gauge theory and compactification on a torus
arXiv:1107.2847 · doi:10.1007/JHEP09(2011)060
Abstract
We study five-dimensional minimally supersymmetric gauge theory compactified on a torus down to three dimensions, and its embedding into string/M-theory using geometric engineering. The moduli space on the Coulomb branch is hyperkaehler equipped with a metric with modular transformation properties. We determine the one-loop corrections to the metric and show that they can be interpreted as worldsheet and D1-brane instantons in type IIB string theory. Furthermore, we analyze instanton corrections coming from the solitonic BPS magnetic string wrapped over the torus. In particular, we show how to compute the path-integral for the zero-modes from the partition function of the M5 brane, or, using a 2d/4d correspondence, from the partition function of N=4 SYM theory on a Hirzebruch surface.
30 pages, 2 figures; v2: typos corrected, added references, JHEP version
References in corpus (11)
- M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
- On D=5 super Yang-Mills theory and (2,0) theory
- A Farey Tail for Attractor Black Holes
- Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
- D-instantons and twistors
- The M5-Brane Elliptic Genus: Modularity and BPS States
- Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
- Membrane and fivebrane instantons from quaternionic geometry
- On the topology of the hypermultiplet moduli space in type II/CY string vacua
- BPS invariants of N=4 gauge theory on a surface
- Wall Crossing and Instantons in Compactified Gauge Theory
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- Moduli of Monopole Walls and Amoebas
- SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
- Exploring 5d BPS Spectra with Exponential Networks
- S-duality in Twistor Space
- Rigid limit for hypermultiplets and five-dimensional gauge theories
- From strings in 6d to strings in 5d
- A 5d/2d/4d correspondence
- Fibre-base duality of 5d KK theories
- Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
- Darboux Coordinates and Instanton Corrections in Projective Superspace
- Hyperkahler Metrics from Monopole Walls
- Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
- Asymptotic Dynamics of Monopole Walls