Gap Condition and Self-dualized N = 4 Ade Gauge Theory on K3
نویسنده
چکیده
We try to determine the partition function of N = 4 ADE gauge theory on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.
منابع مشابه
Hecke Operator and S-duality of N = 4 Ade Gauge Theory on K3
We determine N = 4 partition functions on K3 for some ADE gauge groups, on the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result, we reveal a close relation between Hecke operator and S-duality of N = 4 ADE gauge theory on K3.
متن کاملM ar 2 00 3 Hecke Operator and S - Duality of N = 4 Super Yang - Millsfor ADE
We determine N = 4 partition functions of N = 4 super Yang-Mills gauge theory for some ADE gauge groups on K3, under the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result we find a close relation between Hecke operator and S-duality of N = 4 super...
متن کاملar X iv : h ep - t h / 03 04 01 9 v 1 2 A pr 2 00 3 GNPHE / 03 - 05 On N = 1 gauge models from geometric engineering in M - theory
We study geometric engineering of four-dimensional N = 1 gauge models from M-theory on a seven-dimensional manifold with G 2 holonomy. The manifold is constructed as a K3 fibration over a three-dimensional base space with ADE geometry. The resulting gauge theory is discussed in the realm of (p, q) webs. We discuss how the anomaly cancellation condition translates into a condition on the associa...
متن کاملOn Geometric Engineering of N = 1 ADE Quiver Models
In this talk, we discuss four-dimensional N = 1 affine ADE quiver gauge models using the geometric engineering method in M-theory on G2 manifolds with K3 fibrations. Talk presented at the Workshop on Quantum Field Theory, Geometry and Non Perturbative Physics, Rabat, July 28th-29th, 2003. [email protected]
متن کاملConformal Field Theories on K3 and Three-Dimensional Gauge Theories
According to a recent conjecture, the moduli space of the heterotic conformal field theory on a G ⊂ ADE singularity of an ALE space is equivalent to the moduli space of a pure N = 4 supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content.
متن کامل