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A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard

We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical…

High Energy Physics - Theory · Physics 2016-08-29 Sergio Ferrara , Renata Kallosh , Antoine Van Proeyen , Timm Wrase

A new global approach in the study of duality transformations is introduced. The geometrical structure of complex line bundles is generalized to higher order U(1) bundles which are classified by quantized charges and duality maps are…

High Energy Physics - Theory · Physics 2008-02-03 M. I. Caicedo , I. Martin , A. Restuccia

We study T-duality in the Green-Schwarz formalism to all orders in superspace coordinates. We find two analogs of Buscher rules for the supervielbein and clarify their meaning from the superstring point of view. The transformation rules for…

High Energy Physics - Theory · Physics 2009-10-31 Bogdan Kulik , Radu Roiban

We derive a general formula of an index for three dimensional N=2 superconformal field theories with general R-charge assignments to chiral multiplets by using the localization method in S^2xS^1 background. As examples we compute the index…

High Energy Physics - Theory · Physics 2015-05-20 Yosuke Imamura , Shuichi Yokoyama

It was recently shown that arbitrary first-order models canonically extend to models (of the same language) consisting of ultrafilters. The main precursor of this construction was the extension of semigroups to semigroups of ultrafilters, a…

Logic · Mathematics 2013-10-18 Denis I. Saveliev

We present all NSR superstring and super-D-string actions invariant under a set of prescribed gauge transformations, and characterize completely their global symmetries. In particular we obtain locally supersymmetric Born-Infeld actions on…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Alexander Kling , Maximilian Kreuzer

We construct the N=1 supersymmetric extension of double field theory for D=10, including the coupling to an arbitrary number n of abelian vector multiplets. This theory features a local O(1,9+n) x O(1,9) tangent space symmetry under which…

High Energy Physics - Theory · Physics 2015-06-03 Olaf Hohm , Seung Ki Kwak

We generalize the submodel of nonlinear CP^1 models. The generalized models include higher order derivatives. For the systems of higher order equations, we construct a B\"acklund-like transformation of solutions and an infinite number of…

High Energy Physics - Theory · Physics 2009-10-31 Tatsuo Suzuki

We study general perturbations of two-dimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (pre-Lie) algebra given in terms of the operator product…

High Energy Physics - Theory · Physics 2009-10-30 R. Dijkgraaf

Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. SCFTs we have…

High Energy Physics - Theory · Physics 2011-05-05 Tohru Eguchi , Kentaro Hori , Katsushi Ito , Sung-Kil Yang

We consider the generic nonanticommutative model of chiral-antichiral superfields on ${\cal N}={1\over 2}$ superspace. The model is formulated in terms of an arbitrary K\"ahlerian potential, chiral and antichiral superpotentials and can…

High Energy Physics - Theory · Physics 2009-11-11 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

A superfield algorithm for master actions of a class of gauge field theories including topological ones in arbitrary dimensions is presented generalizing a previous treatment in two dimensions. General forms for master actions in superspace…

High Energy Physics - Theory · Physics 2016-11-23 Igor Batalin , Robert Marnelius

I derive a procedure to count chiral primary states in N=1 superconformal field theories in four dimensions. The chiral primaries are counted by putting the N=1 field theory on S^3 X R. I also define an index that counts semi-short…

High Energy Physics - Theory · Physics 2009-11-11 Christian Romelsberger

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

High Energy Physics - Theory · Physics 2017-10-25 Thomas T. Dumitrescu

The $N=2$ minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this process.

High Energy Physics - Theory · Physics 2015-06-26 Toshiya Kawai , Taku Uchino , Sun-Kil Yang

We study subfields of surreal numbers, called hyperseries fields, that are suited to be equipped with derivations and composition laws. We show how to define embeddings on hyperseries fields that commute with transfinite sums and all…

Logic · Mathematics 2024-10-07 Vincent Bagayoko

Two-dimensional N=1,2 supersymmetric chiral models and their dual extensions are introduced and canonically quantized. Working within a superspace formalism, the non-manifest invariance under 2D-superPoincare' transformations is proven. The…

High Energy Physics - Theory · Physics 2009-10-31 C. P. Constantinidis , F. P. Devecchi , F. Toppan

The notion of a Lie conformal superalgebra encodes an axiomatic descrption of singular parts of the operator product expansions of chiral fields in conformal field theory. In the paper we give a detailed proof of the classification of all…

Mathematical Physics · Physics 2014-01-17 Davide Fattori , Victor G. Kac

We expand the generic model involving chiral matter, super Yang-Mills gauge fields, and supergravity to second order in the gravity and gauge prepotentials in a manifestly covariant and conformal way. Such a class of models includes…

High Energy Physics - Theory · Physics 2009-12-22 Daniel Butter