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In these lectures we present a general introduction to topological quantum field theories. These theories are discussed in the framework of the Mathai-Quillen formalism and in the context of twisted N=2 supersymmetric theories. We discuss…

High Energy Physics - Theory · Physics 2008-02-03 J. M. F. Labastida , Carlos Lozano

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields…

High Energy Physics - Theory · Physics 2016-12-21 Shinichi Deguchi , Bhabani Prasad Mandal

We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general…

High Energy Physics - Theory · Physics 2020-10-28 Guido Festuccia , Anastasios Gorantis , Antonio Pittelli , Konstantina Polydorou , Lorenzo Ruggeri

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

We discuss topological theories, arising from the general $\mathcal{N}=2$ twisted gauge theories. We initiate a program of their study in the Gromov-Witten paradigm. We re-examine the low-energy effective abelian theory in the presence of…

High Energy Physics - Theory · Physics 2017-09-07 Andrei Losev , Nikita Nekrasov , Samson Shatashvili

We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen $et$ $al.$'s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the…

High Energy Physics - Theory · Physics 2009-10-28 Dae Sung Hwang , Chang-Yeong Lee

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the…

High Energy Physics - Theory · Physics 2009-10-31 P. J. Arias , A. Khoudeir

We derive the relation between the Hilbert space of certain geometries under the Bohr-Sommerfeld quantization and the perturbative prepotentials for the supersymmetric five-dimensional SU(N) gauge theories with massive fundamental matters…

High Energy Physics - Theory · Physics 2008-11-26 Yui Noma

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.…

High Energy Physics - Theory · Physics 2015-06-04 Ulf Gran , Jesper Greitz , Paul Howe , Bengt E. W. Nilsson

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

We construct a new off-shell twisted hypermultiplet with a scalar and an anti-self-dual tensor superfields. Using the N=2 twisted superspace formalism, we construct a Donaldson-Witten theory coupled to the hypermultiplet. We show that this…

High Energy Physics - Theory · Physics 2010-05-28 Junji Kato , Akiko Miyake

We construct a mathematical framework for twisted N=2 supersymmetric topological quantum field theory on a 4-manifold. Supersymmetry in flat space is defined and the twist homomorphism is constructed, giving us a supermanifold that is the…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Langmead

When placed on four-manifolds, $ \mathcal{N} = 2 $ gauge theories couple to topological invariants of the background via two functions $ A $ and $ B $. General considerations allow for these functions to be fixed in terms of the Coulomb…

High Energy Physics - Theory · Physics 2022-09-28 Renjan Rajan John , Sujoy Mahato , Madhusudhan Raman

We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are…

High Energy Physics - Theory · Physics 2009-11-07 Gianguido Dall'Agata , Carl Herrmann , Marco Zagermann

The construction of field theories with space-time symmetries, including tensorial charges (i.e. of M-theory type), initiated in hep-th/9907011, is extended to include interaction. For SO(2,2) gravity in a tensorial space-time, with…

High Energy Physics - Theory · Physics 2007-05-23 Ruben Mkrtchyan

The N=1 supersymmetric gauge SU(5) theory with one antisymmetric tensor, n+3 fundamentals and n+4 antifundamentals has dual magnetic descriptions in the infrared. By introducing extra singlet fields and tree level superpotential terms to…

High Energy Physics - Theory · Physics 2008-02-03 Chih-Lung Chou

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

We generalize noncommutative gauge theory using Nambu-Poisson structures to obtain a new type of gauge theory with higher brackets and gauge fields. The approach is based on covariant coordinates and higher versions of the Seiberg-Witten…

High Energy Physics - Theory · Physics 2014-05-13 Branislav Jurco , Peter Schupp , Jan Vysoky

The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with $N=1$…

High Energy Physics - Theory · Physics 2009-10-28 A. V. Ramallo , S. Roy , J. M. Sanchez de Santos