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Certain power-counting non-renormalizable theories, including the most general self-interacting scalar fields in four and three dimensions and fermions in two dimensions, have a simplified renormalization structure. For example, in…

High Energy Physics - Theory · Physics 2009-11-11 Damiano Anselmi

We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schr\"odinger scalar in 2+1 dimensions. At the classical level, the theory with minimal coupling is obtained from a null-reduction of relativistic…

High Energy Physics - Theory · Physics 2021-03-17 Shira Chapman , Lorenzo Di Pietro , Kevin T. Grosvenor , Ziqi Yan

We construct the general N=1/2 supersymmetric gauge theory coupled to massive chiral matter, and show that it is renormalisable at one loop.

High Energy Physics - Theory · Physics 2007-05-23 I. Jack , D. R. T. Jones , L. A. Worthy

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

We study the breaking of a supersymmetric SO(10) GUT in 6 dimensions by orbifold compactification. In 4 dimensions we obtain a N=1 supersymmetric theory with the standard model gauge group enlarged by an additional U(1) symmetry. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Asaka , W. Buchmüller , L. Covi

We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with N=1,2 or 3…

High Energy Physics - Theory · Physics 2009-11-11 Jerome P. Gauntlett , Sangmin Lee , Toni Mateos , Daniel Waldram

A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

High Energy Physics - Theory · Physics 2017-01-11 Jean-Pierre Derendinger

We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with…

High Energy Physics - Theory · Physics 2015-06-15 Thomas W. Grimm , Tom G. Pugh

The renormalized zero-momentum four-point coupling $g_r$ of O(N)-invariant scalar field theories in $d$ dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the $\beta$-function and to…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

We consider an abelian gauge theory with spontaneously broken symmetry containing a scalar-fermion coupling which is non-linear in the Higgs field. Although in the unitary gauge it reduces to a pure Yukawa term, suggesting that the theory…

High Energy Physics - Theory · Physics 2007-05-23 Nistor Nicolaevici

We construct new N=6 gauged supergravities in four and five dimensions using generalized dimensional reduction. Supersymmetry is spontaneously broken to N=4,2,0 with vanishing cosmological constant. We discuss the gaugings of the broken…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Villadoro

The renormalized zero-momentum four-point coupling $g_r$ of $O(N)$-invariant scalar field theories in $d$ dimensions is studied by applying the $1/N$ expansion and strong coupling analysis. The $O(1/N)$ correction to the $\beta$-function…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

We study renormalizability aspects of the spectral action for the Yang-Mills system on a flat 4-dimensional background manifold, focusing on its asymptotic expansion. Interpreting the latter as a higher-derivative gauge theory, a…

Mathematical Physics · Physics 2015-05-28 Walter D. van Suijlekom

This PhD thesis is devoted to show that differential renormalization is a simple and useful renormalization method that we can use when dealing with gauge theories. In this work, it is shown how the one-loop results of Constraint…

High Energy Physics - Theory · Physics 2007-06-27 Cesar Seijas

Recently N. Seiberg has shown that certain N=1 supersymmetric Yang -- Mills theories have the property that their infrared physics can be equivalently described by {\it two different} gauge theories, with the strong coupling region of one…

High Energy Physics - Theory · Physics 2016-09-06 D. Kutasov

We consider regularisation of a Yang-Mills theory by Dimensional Reduction (DRED). In particular, the anomalous dimensions of fermion masses and gauge coupling are computed to four-loop order. We put special emphasis on the treatment of…

High Energy Physics - Theory · Physics 2007-10-15 Philipp Kant

We analyze the structure of multiloop supergraphs contributing to the effective Lagrangians in 4d supersymmetric gauge theories and in the models obtained from them by dimensional reduction. When d=4, this gives the renormalization of the…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Smilga , Arkady Vainshtein

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 maximal supergravity in four dimensions with local scaling symmetry as deformation of the original Cremmer-Julia theory. The different theories which include the standard gaugings are parametrized by an embedding tensor…

High Energy Physics - Theory · Physics 2015-05-27 Arnaud Le Diffon , Henning Samtleben , Mario Trigiante

We review the recent progress in studying the quantum structure of $6D$, ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric gauge theories formulated through unconstrained harmonic superfields. The harmonic superfield approach allows one…

High Energy Physics - Theory · Physics 2019-01-07 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz