منابع مشابه
Gauge Theories Labelled by Three - Manifolds
We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N = 2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well as quantum) find a natural interpretation in field theory. For example, independence of the SL(2) Chern-Simons partition function on the choice of triangul...
متن کاملGauge Theories on Four Dimensional Riemannian Manifolds
This paper develops the Riemannian geometry of classical gauge theories Yang-Mills fields coupled with scalar and spinor fields on compact four-dimensional manifolds. Some important properties of these fields are derived from elliptic theory : regularity, an "energy gap theorem", the manifold structure of the configuration space, and a bound for the supremum of the field in terms of the energy....
متن کاملD - Brane Probes of Special Holonomy Manifolds , and Dynamics of N = 1 Three - Dimensional Gauge Theories
Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G2 and Spin(7) holonomy. We derive mirror pairs of N = 1 supersymmetric three-dimensional gauge theories, and apply this technique to realize exceptional holonomy manifolds as both Coulomb and Higgs branches of the D2-brane world-volume theory. We derive a “G2 quotient construction” of non-compa...
متن کاملThree-Dimensional Gauge Theories and ADE Monopoles
We study three-dimensional N = 4 gauge theories with product gauge groups constructed from ADE Dynkin diagrams. One-loop corrections to the metric on the Coulomb branch are shown to coincide with the metric on the moduli space of wellseperated ADE monopoles. We propose that this correspondence is exact. Introduction There exists a correspondence between three-dimensional gauge theories and mono...
متن کاملNon-analyticities in Three-dimensional Gauge Theories
Quantum fluctuations generate in three-dimensional gauge theories not only radiative corrections to the Chern-Simons coupling but also non-analytic terms in the effective action. We review the role of those terms in gauge theories with massless fermions and Chern-Simons theories. The explicit form of non-analytic terms turns out to be dependent on the regularization scheme and in consequence th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2013
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-013-1863-2