Instantons on a Non-commutative $T^4$ from Twisted (2,0) and Little-String Theories
Cheung, Yeuk-Kwan E. ; Ganor, Ori J. ; Krogh, Morten ; Mikhailov, Andrei Yu.
arXiv, 9812172 / Harvested from arXiv
Text on arXiv
We show that the moduli space of the $(2,0)$ and little-string theories compactified on $T^3$ with R-symmetry twists is equal to the moduli space of U(1) instantons on a non-commutative $T^4$. The moduli space of $U(q)$ instantons on a non-commutative $T^4$ is obtained from little-string theories of NS5-branes at $A_{q-1}$ singularities with twists. A large class of gauge theories with ${\cal N}=4$ SUSY in 2+1D and ${\cal N}=2$ SUSY in 3+1D are limiting cases of these theories. Hence, the moduli spaces of these gauge theories can be read off from the moduli spaces of instantons on non-commutative tori. We study the phase transitions in these theories and the action of T-duality. On the purely mathematical side, we give a prediction for the moduli space of 2 U(1) instantons on a non-commutative $T^4$.
Publié le : 1998-12-18
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9812172,
     author = {Cheung, Yeuk-Kwan E. and Ganor, Ori J. and Krogh, Morten and Mikhailov, Andrei Yu.},
     title = {Instantons on a Non-commutative $T^4$ from Twisted (2,0) and
  Little-String Theories},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812172}
}

Cheung, Yeuk-Kwan E.; Ganor, Ori J.; Krogh, Morten; Mikhailov, Andrei Yu. Instantons on a Non-commutative $T^4$ from Twisted (2,0) and
  Little-String Theories. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812172/