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We investigate the Exact Renormalization Group (ERG) description of ($Z_2$ invariant) one-component scalar field theory, in the approximation in which all momentum dependence is discarded in the effective vertices. In this context we show…

High Energy Physics - Theory · Physics 2009-10-28 Tim R. Morris

Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as…

High Energy Physics - Theory · Physics 2009-02-02 Sergio Benvenuti , Diego Rodriguez-Gomez , Erik Tonni , Herman Verlinde

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to…

High Energy Physics - Theory · Physics 2016-07-19 Oscar Varela

We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The…

High Energy Physics - Theory · Physics 2023-01-04 Chris D. A. Blair , Sofia Zhidkova

The reduction of ten-dimensional heterotic supergravity with Yang-Mills symmetry group K is performed on an arbitrary n-dimensional group manifold G. The reduction involves a nonvanishing 3-form flux, and the Lie algebra of G must have…

High Energy Physics - Theory · Physics 2008-11-26 H. Lu , C. N. Pope , E. Sezgin

We study some geometrical and topological aspects of the generalised dimensional reduction of supergravities in D=11 and D=10 dimensions, which give rise to massive theories in lower dimensions. In these reductions, a global symmetry is…

High Energy Physics - Theory · Physics 2009-10-07 I. V. Lavrinenko , H. Lu , C. N. Pope

GR can be interpreted as a theory of evolving 3-geometries. A recent such formulation, the 3-space approach of Barbour, Foster and \'{O} Murchadha, also permits the construction of a limited number of other theories of evolving…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Anderson

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are…

High Energy Physics - Theory · Physics 2021-09-15 Anthony Houppe , Nicholas P. Warner

Classical flux compactifications contribute to a well-controlled corner of the string landscape, therefore providing an important testing ground for a variety of conjectures. We focus here on type II supergravity compactifications on 6d…

High Energy Physics - Theory · Physics 2023-03-20 David Andriot , Paul Marconnet , Muthusamy Rajaguru , Timm Wrase

We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the…

High Energy Physics - Theory · Physics 2008-02-03 Michael Bershadsky , Cumrun Vafa

We consider minimal setups arising from different truncations of N=8 five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1)xU(1)xU(1)in SO(6). These…

High Energy Physics - Theory · Physics 2015-05-27 Francesco Aprile , Diederik Roest , Jorge G. Russo

We systematically investigate the finite set of possible gauge groups and matter content for N = 1 supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors.…

High Energy Physics - Theory · Physics 2011-04-22 Vijay Kumar , Daniel S. Park , Washington Taylor

We show how to expand the Lunin-Maldacena solution to the full bosonic sector of gauged $\mathcal N=2$ supergravity. In particular, we construct a consistent truncation of IIB supergravity on a $\beta$-deformed $\mathrm{AdS}_5\times S^5$…

High Energy Physics - Theory · Physics 2020-02-19 James T. Liu , Brian McPeak

We study the N=4 gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2 subsectors and in particular we clarify the relationship between true superpotentials for…

High Energy Physics - Theory · Physics 2015-06-03 Nick Halmagyi , James T. Liu , Phillip Szepietowski

Complimentary geometric and non-geometric consistent reductions of IIB supergravity are studied. The geometric reductions on the identified group manifold X are found to have a gauge symmetry with Lie algebroid structure, generalising that…

High Energy Physics - Theory · Physics 2008-12-18 R. A. Reid-Edwards

We clarify the existence of two different types of truncations of the field content in a theory, the consistency of each type being achieved by different means. A proof is given of the conditions to have a consistent truncation in the case…

High Energy Physics - Theory · Physics 2011-03-22 Josep M. Pons , Pere Talavera

We construct a 6D supergravity theory which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions. The theory has N=2 supersymmetry and a gravitational sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Buchmüller , C. Lüdeling , J. Schmidt

We show that three-dimensional N=8 $Sp(N)$ and $SO(2N+1)$ gauge theories flow to the same strong coupling fixed point. As a consequence, the corresponding orientifold two-planes in type IIA string theory are described at strong coupling and…

High Energy Physics - Theory · Physics 2010-02-03 Savdeep Sethi

New gaugings of four dimensional N=8 supergravity are constructed, including one which has a Minkowski space vacuum that preserves N=2 supersymmetry and in which the gauge group is broken to $SU(3)xU(1)^2$. Previous gaugings used the form…

High Energy Physics - Theory · Physics 2014-11-18 C. M. Hull

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