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We propose a conceptually economical and computationally tractable completion of the foundations of gauge theory on quantum principal bundles \`{a} la Brzezi\'{n}ski--Majid to the case of general differential calculi and strong bimodule…

Mathematical Physics · Physics 2021-09-01 Branimir Ćaćić

In this note we show how the consistent truncations on half-supersymmetric branes of Leung and Stelle and Lin, Skrzypek and Stelle fit into the general exceptional generalised geometry analysis of Cassani \emph{et al.}. Each solution…

High Energy Physics - Theory · Physics 2026-03-26 Jieming Lin , Kellogg S. Stelle , Daniel Waldram

A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We…

High Energy Physics - Theory · Physics 2021-07-05 Gianluca Inverso

We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a $d$-dimensional manifold $M$ with $d\leq7$. The reformation has a…

High Energy Physics - Theory · Physics 2013-12-17 André Coimbra , Charles Strickland-Constable , Daniel Waldram

We derive four dimensional gauge theories with exceptional groups $F_4$, $E_8$, $E_7$, and $E_7$ with matter, by starting from the duality between the heterotic string on $K3$ and F-theory on a elliptically fibered Calabi-Yau 3-fold. This…

High Energy Physics - Theory · Physics 2009-10-30 John Brodie

I study generalisations of U-duality transformations which do not rely on the existence of isometries. I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form…

High Energy Physics - Theory · Physics 2022-10-17 Chris D. A. Blair

The geometry of the ${\cal N} = 3$, SO(4)--invariant, AdS$_4$ solution of massive type IIA supergravity that uplifts from the ${\cal N} = 3 $ vacuum of $D=4$ ${\cal N} = 8$ dyonic ISO(7) supergravity is investigated. Firstly, a $D=4$,…

High Energy Physics - Theory · Physics 2018-09-26 G. Bruno De Luca , Gabriele Lo Monaco , Niall T. Macpherson , Alessandro Tomasiello , Oscar Varela

We study compactifications of type IIA supergravity on six-dimensional manifolds with SU(2) structure and compute the low-energy effective action in terms of the non-trivial intrinsic torsion. The consistency with gauged N=4 supergravity is…

High Energy Physics - Theory · Physics 2011-08-09 Thomas Danckaert , Jan Louis , Danny Martínez-Pedrera , Bastiaan Spanjaard , Hagen Triendl

We consider M-theory and type IIA reductions to four dimensions with N=2 and N=1 supersymmetry and discuss their interconnection. Our work is based on the framework of Exceptional Generalized Geometry (EGG), which extends the tangent bundle…

High Energy Physics - Theory · Physics 2015-06-12 Mariana Graña , Hagen Triendl

We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We…

High Energy Physics - Theory · Physics 2020-05-26 Z. Chen , W. Gu , H. Parsian , E. Sharpe

We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4) structure the…

High Energy Physics - Theory · Physics 2015-06-17 Dario Rosa

We present a new anomaly-free gauged N=1 supergravity model in six dimensions. The gauge group is E_7xG_2xU(1)_R, with all hyperinos transforming in the product representation {56,14). The theory admits monopole compactifications to…

High Energy Physics - Theory · Physics 2009-11-11 Spyros D. Avramis , Alex Kehagias , S. Randjbar-Daemi

We reformulate the Hamiltonian form of bosonic eleven dimensional supergravity in terms of an object that unifies the three-form and the metric. For the case of four spatial dimensions, the duality group is manifest and the metric and…

High Energy Physics - Theory · Physics 2011-06-20 David S. Berman , Malcolm J. Perry

Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions,…

High Energy Physics - Theory · Physics 2009-12-04 Davide Cassani

We propose a new set of IIB type and eleven-dimensional supergravity solutions which consists of the $n$-fold product of two-spaces ${\bf H}^n/\Gamma$ (where ${\bf H}^n$ denotes the product of $n$ upper half-planes $H^2$ equipped with the…

High Energy Physics - Theory · Physics 2009-10-28 A. A. Bytsenko

We study the \textit{Kaluza--Klein} descent of non-invertible higher-form symmetry defects from eleven-dimensional Supergravity to Type IIA Supergravity. Starting from the eleven-dimensional construction of non-invertible Supergravity…

High Energy Physics - Theory · Physics 2026-05-18 Fabián Caro-Pérez , María Pilar García del Moral , Álvaro Restuccia

We explicitly truncate N = 8 gauged supergravity in five dimensions to its SU(3)-invariant sector with dilaton and axion fields. We show that this truncation has a solution which is identical to the super Janus constructed in N = 2 gauged…

High Energy Physics - Theory · Physics 2015-05-28 Minwoo Suh

We study conditions on general fluxes of massive Type IIA supergravity that lead to four-dimensional backgrounds with N = 1 supersymmetry. We derive these conditions in the case of SU(3)- as well as SU(2)-structures. SU(3)-structures imply…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Behrndt , Mirjam Cvetic

Following the general method discussed in Refs.[1,2], Liouville gravity and the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 + torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the first order…

High Energy Physics - Theory · Physics 2010-04-06 G. Grignani , G. Nardelli

In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric…

High Energy Physics - Theory · Physics 2009-10-10 Vijay Kumar , Washington Taylor
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