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Related papers: Generalised Geometry and type II Supergravity

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Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete…

High Energy Physics - Theory · Physics 2024-09-23 Falk Hassler , Yuho Sakatani

A geometry of superspace corresponding to double field theory is developed, with type II supergravity in D=10 as the main example. The formalism is based on an orthosymplectic extension OSp(d,d|2s) of the continuous T-duality group.…

High Energy Physics - Theory · Physics 2016-07-20 Martin Cederwall

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

High Energy Physics - Theory · Physics 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

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

We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in N=2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure…

High Energy Physics - Theory · Physics 2015-06-16 Dario Rosa , Alessandro Tomasiello

The Einstein-Hilbert-type action for nonlinear supersymmetric(NLSUSY) general relativity(GR) proposed as the fundamental action for nature is written down explicitly in terms of the fundamental fields, the graviton and the…

High Energy Physics - Theory · Physics 2007-05-23 Kazunari Shima , Motomu Tsuda

We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms --…

High Energy Physics - Theory · Physics 2012-10-19 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

A large class of supergravities in diverse dimensions are surveyed. This includes maximal supergravities, their general gaugings in the framework of embedding tensor formalism, supergravities with less than maximal supersymmetry, their…

High Energy Physics - Theory · Physics 2023-12-13 Ergin Sezgin

A first-order formulation of gravity is developed in which the fundamental fields consist of an SL(2,C) connection and two spinor-valued 1-forms. It is shown that the first term of an expansion of the Einstein-Hilbert action leads to an…

General Relativity and Quantum Cosmology · Physics 2018-11-06 Nicolas Ivancevic

Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The…

High Energy Physics - Theory · Physics 2018-07-04 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch

The fundamental action of superon-graviton model(SGM) for space-time and matter is written down explicitly in terms of the fields of the graviton and superons by using the affine and the spin connection formalisms, alternatively. Some…

High Energy Physics - Theory · Physics 2015-06-26 Kazunari Shima

A new Einstein-Hilbert type (SGM) action describing gravitational interaction of Nambu-Goldstone(N-G) fermion of nonlinear supersymmetry(NL SUSY) is obtained by performing the Einstein gravity analogue geometrical arguments in high…

High Energy Physics - Theory · Physics 2007-05-23 K. Shima , M. Tsuda , M. Sawaguchi

We provide full details of a BV formulation of $\mathcal N=1$ supergravity in ten dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither…

High Energy Physics - Theory · Physics 2025-08-11 Julian Kupka , Charles Strickland-Constable , Fridrich Valach

Recent work by physicists on gravity in two dimensions has a natural generalization to four dimensions, formulated in terms of an analogue of Segal's category [defined for the study of conformal field theory].

Quantum Algebra · Mathematics 2007-05-23 Jack Morava

The classical Einstein's gravity can be reformulated from the constrained U(2,2) gauge theory on the ordinary (commutative) four-dimensional spacetime. Here we consider a noncommutative manifold with a symplectic structure and construct a…

High Energy Physics - Theory · Physics 2011-02-01 Yan-Gang Miao , Zhao Xue , Shao-Jun Zhang

Einstein Equivalence Principle (EEP) requires all matter components to universally couple to gravity via a single common geometry: that of spacetime. This relates quantum theory with geometry as soon as interactions with gravity are…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Ashkan Alibabaei

We construct the non-linear realisation of E11 and its first fundamental representation in eleven dimensions at low levels. The fields depend on the usual coordinates of space-time as well as two form and five form coordinates. We derive…

High Energy Physics - Theory · Physics 2015-06-03 Peter West

We present a formulation of $N=1,D=10$ Supergravity--Super--Maxwell theory in superspace in which the graviphoton can be described by a 2--form $B_2$ or a 6--form $B_6$, the photon by a 1--form $A_1$ or a 7--form $A_7$ and the dilaton by a…

High Energy Physics - Theory · Physics 2009-10-28 Kurt Lechner , Mario Tonin

A local supersymmetric action for a (2+1)-dimensional system including gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The action is a Chern-Simons form for a connection of the OSp(2|2) group. All the fields…

High Energy Physics - Theory · Physics 2015-05-30 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli