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We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an…

High Energy Physics - Theory · Physics 2019-05-22 Daniël Prins

We discuss the moduli space singularities that are generally present in five-dimensional vector-coupled supergravity on a spactime of the form R4 x S1/Z2, with vector fields surviving on the Z2 fixed planes. The framework of supergravity is…

High Energy Physics - Theory · Physics 2008-11-26 Sean McReynolds

We construct a consistent reduction of type IIA supergravity on S^3, leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S^4 reduction of…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope , A. Sadrzadeh , T. A. Tran

We present a class of orthogonal membrane configurations which preserve 1/4 of the full type IIA supersymmetry. These membrane configurations carry additional F-string charges. We further analyze the D1-D3 configuration after applying T-…

High Energy Physics - Theory · Physics 2009-11-07 Anindya Biswas , Kamal Lochan Panigrahi

We introduce a wide category of superspaces, called locally finitely generated, which properly includes supermanifolds but enjoys much stronger permanence properties, as are prompted by applications. Namely, it is closed under taking finite…

Differential Geometry · Mathematics 2014-10-07 Alexander Alldridge , Joachim Hilgert , Tilmann Wurzbacher

We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of…

High Energy Physics - Theory · Physics 2010-12-15 Davide Cassani , Gianguido Dall'Agata , Anton F. Faedo

We systematically study all supersymmetric solutions of six-dimensional (2,0) supergravity with a null isometry. In particular, every such solution with at least four real supersymmetries is also a supersymmetric solution of a (1,0) theory…

High Energy Physics - Theory · Physics 2019-09-25 Guillaume Bossard , Severin Lüst

There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds…

High Energy Physics - Theory · Physics 2016-09-21 Sergei M. Kuzenko

We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux. We give the explicit supergravity solution, compute…

High Energy Physics - Theory · Physics 2009-11-07 Matthias Blau , José Figueroa-O'Farrill , Christopher Hull , George Papadopoulos

We study an exhaustive analytic class of massive type IIA backgrounds preserving sixteen real supercharges and enjoying $\textrm{SL}(2,\mathbb{R})\times\textrm{SO}(8)$ bosonic symmetry. The corresponding geometry is described by…

High Energy Physics - Theory · Physics 2018-11-14 Giuseppe Dibitetto , Achilleas Passias

We prove a non-existence theorem for smooth AdS5 solutions with connected, compact without boundary internal space that preserve strictly 24 supersymmetries. In particular, we show that D=11 supergravity does not admit such solutions, and…

High Energy Physics - Theory · Physics 2016-07-20 S. W. Beck , J. B. Gutowski , G. Papadopoulos

As shown by Ho\v{r}ava and Witten, there are gravitational anomalies at the boundaries of $M^{10}\times S^1/Z_2$ of 11 dimensional supergravity. They showed that only 10 dimensional vector multiplets belonging to $E_8$ gauge group can be…

High Energy Physics - Theory · Physics 2009-10-30 F. Aldabe

We perform a careful investigation of which p-form fields can be introduced consistently with the supersymmetry algebra of IIA and/or IIB ten-dimensional supergravity. In particular the ten-forms, also known as "top-forms", require a…

High Energy Physics - Theory · Physics 2014-11-20 E. A. Bergshoeff , J. Hartong , P. S. Howe , T. Ortin , F. Riccioni

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and…

High Energy Physics - Theory · Physics 2010-12-03 Michael Haack , Jan Louis , Monika Marquart

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of…

High Energy Physics - Theory · Physics 2014-11-21 Olaf Lechtenfeld , Christoph Nölle , Alexander D. Popov

We systematically analyze Riemannian manifolds M that admit rigid supersymmetry, focusing on four-dimensional N=1 theories with a U(1)_R symmetry. We find that M admits a single supercharge, if and only if it is a Hermitian manifold. The…

High Energy Physics - Theory · Physics 2015-06-05 Thomas T. Dumitrescu , Guido Festuccia , Nathan Seiberg

We give the necessary and sufficient conditions for warped AdS$_3$ (and Mink$_3$) solutions of Type II supergravities to preserve ${\cal N}=(2,0)$ supersymmetry, in terms of geometric conditions on their internal space M$_7$. Such solutions…

High Energy Physics - Theory · Physics 2024-03-19 Christopher Couzens , Niall T. Macpherson , Achilleas Passias

We calculate all of vielbein superfields up to second order in anticommuting coordinates in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion'. This configuration of superspace holds the…

High Energy Physics - Theory · Physics 2009-10-31 Shibusa Yuuichirou

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

High Energy Physics - Theory · Physics 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

We find that the IIA Matrix models defined on the non-compact $C^3/Z_6$, $C^2/Z_2$ and $C^2/Z_4$ orbifolds preserve supersymmetry where the fermions are on-mass-shell Majorana-Weyl fermions. In these examples supersymmetry is preserved both…

High Energy Physics - Theory · Physics 2016-09-06 Akiko Miyake