We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

S OF PAPERS SUBMITTED FOR PRESENTATION TO THE SOCIETY The following papers have been submitted to the Secretary and the Associate Secretaries of the Society for presentation at meetings of the Society. They are numbered serially throughout this volume. Cross references to them in the reports of the meetings will give the number of this volume, the number of this issue, and the serial number of ...

We introduce a non-Abelian tensor multiplet directly in the loop space associated with flat six-dimensional Minkowski space-time, and derive the supersymmetry variations for on-shell N = (2, 0) supersymmetry. [email protected]

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an abelian gauge field, using Dirac’s procedure. Duality transformations on the reduced phase space are also discussed. 01/93 † ([email protected])

To understand the Abelian dominance and magnetic monopole dominance in lowenergy QCD, we rewrite the non-Abelian Wilson loop into the form which is written in terms of its Abelian components or the ’t Hooft-Polyakov tensor describing the magnetic monopole. This is peformed by making use of a version of non-Abelian Stokes theorem. We propose a modified version of the maximal Abelian (MA) gauge. ...

In Chapter 1 we associate with every Cartan matrix of finite type and a non-zero complex number ζ an abelian artinian category FS. We call its objects finite factorizable sheaves. They are certain infinite collections of perverse sheaves on configuration spaces, subject to a compatibility (”factorization”) and finiteness conditions. In Chapter 2 the tensor structure on FS is defined using funct...

In O(3) symmetry electrodynamics the field tensor is governed by a nonAbelian Stokes Theorem, as in any non-Abelian gauge theory. The comments on the B component of this field tensor by Hunter in this Issue address B as if it were a U(1) symmetry field, governed by the ordinary Stokes Theorem, and are therefore sequentially erroneous, because there is a basic misunderstanding of the nature of O...

We consider a two-form antisymmetric tensor field φ minimally coupled to a nonabelian vector field with a field strength F . Canonical analysis suggests that a pseudoscalar mass term μ 2 2 Tr(φ∧φ) for the tensor field eliminates degrees of freedom associated with this field. Explicit one loop calculations show that an additional coupling mTr(φ ∧ F ) (which can be eliminated classically by a ten...

We give a detailed study of the critical points of the potentials of the simplest non-trivial N = 2 gauged Yang-Mills/Einstein supergravity theories with tensor multiplets. The scalar field target space of these examples is SO(1, 1)×SO(2, 1)/SO(2). The possible gauge groups are SO(2)×U(1)R and SO(1, 1) × U(1)R, where U(1)R is a subgroup of the R-symmetry group SU(2)R, and SO(2) and SO(1, 1) are...