The Spectrum Of Topological Quantum Field Theories On N - Manifolds

نویسنده

  • ROGER BROOKS
چکیده

The topological particle is first quantized and its spectrum is found to be given by the de Rahm cohomogy ring of the target manifold. Morse theoretic arguments are used to show how this topological spectrum depends on the gauge fixing. A supermanifold formalism is introduced which leads to the generalized Donaldson invariants. It is found that the BRST symmetry cannot be spontaneously or dynamically broken by conventional ‘methods. Submitted to Nuclear Physics B * This work is supported by the Department of Energy contract DE-AC03-76SF00515.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Factorization Homology of Topological Manifolds

Factorization homology theories of topological manifolds, after Beilinson, Drinfeld and Lurie, are homology-type theories for topological n-manifolds whose coefficient systems are n-disk algebras or n-disk stacks. In this work we prove a precise formulation of this idea, giving an axiomatic characterization of factorization homology with coefficients in n-disk algebras in terms of a generalizat...

متن کامل

Topological Field Theory of Vortices over Closed Kähler Manifolds

By dimensional reduction, Einstein-Hermitian equations of n + 1 dimensional closed Kähler manifolds lead to vortex equations of n dimensional closed Kähler manifolds. A Yang-Mills-Higgs functional to unitary bundles over closed Kähler manifolds has topological invariance by adding the additional terms which have ghost fields. Henceforth we achieve the matter (Higgs field) coupled topological fi...

متن کامل

Aspects of N T ≥ 2 Topological Gauge Theories and D-branes

We comment on various aspects of topological gauge theories possessing N T ≥ 2 topological symmetry: 1. We show that the construction of Vafa-Witten and Dijkgraaf-Moore of 'bal-anced' topological field theories is equivalent to an earlier construction in terms of N T = 2 superfields inspired by supersymmetric quantum mechanics. 2. We explain the relation between topological field theories calcu...

متن کامل

Twisted N = 2 Supersymmetry with Central Charge and Equivariant Cohomology

We present an equivariant extension of the Thom form with respect to a vector field action, in the framework of the Mathai-Quillen formalism. The associated Topological Quantum Field Theories correspond to twisted N = 2 supersymmetric theories with a central charge. We analyze in detail two different cases: topological sigma models and non-abelian monopoles on four-manifolds.

متن کامل

Topological Quantum Field Theory and Four-Manifolds

I review some recent results on four-manifold invariants which have been obtained in the context of topological quantum field theory. I focus on three different aspects: (a) the computation of correlation functions, which give explicit results for the Donaldson invariants of non-simply connected manifolds, and for generalizations of these invariants to the gauge group SU(N); (b) compactificatio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1989