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Related papers: Supersymmetry Constraints on Type IIB Supergravity

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We review the actions of the supergravity theory in eleven dimensions as well as the type IIA and IIB supergravities in ten dimensions and derive the bosonic equations of motion in a coordinate-free notation. We also consider the existence…

Differential Geometry · Mathematics 2016-07-20 M. J. D. Hamilton

We prove a formula for the global gravitational anomaly of the self-dual field theory in the presence of background gauge fields, assuming the results of arXiv:1110.4639. Along the way, we also clarify various points about the self-dual…

High Energy Physics - Theory · Physics 2016-04-21 Samuel Monnier

Supersymmetry transformations of first and second order are used to generate Hamiltonians with known spectra departing from the harmonic oscillator with an infinite potential barrier. It is studied also the way in which the eigenfunctions…

Mathematical Physics · Physics 2016-12-12 David J. Fernández C , VS Morales-Salgado

We propose an explanation via string theory of the correspondence between the Coulomb branch of certain three-dimensional supersymmetric gauge theories and certain moduli spaces of magnetic monopoles. The same construction also gives an…

High Energy Physics - Theory · Physics 2010-04-07 Amihay Hanany , Edward Witten

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

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric…

High Energy Physics - Theory · Physics 2012-03-22 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST…

High Energy Physics - Theory · Physics 2007-05-23 Peter van Nieuwenhuizen

We show that the definition of a second order superintegrable system on a (pseudo-)Riemannian manifold gives rise to a conformally invariant notion of superintegrability. Conformal equivalence is the natural extension of the well-known…

Differential Geometry · Mathematics 2025-05-09 Jonathan Kress , Konrad Schöbel , Andreas Vollmer

Supertranslations, and at least in 2+1 dimensions superrotations, are asymptotic symmetries of the metric in asymptotically flat spacetimes. They are not, however, symmetries of the boundary term of the Einstein-Hilbert action, which…

General Relativity and Quantum Cosmology · Physics 2017-08-01 S. Carlip

Linearized supergravity in arbitrary dimension is reformulated into a first order formalism which treats the graviton and its dual on the same footing at the level of the action. This generalizes previous work by other authors in two…

High Energy Physics - Theory · Physics 2019-08-14 Victor Lekeu , Amaury Leonard

Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both string amplitude calculations and an analysis of supersymmetry requirements, we…

High Energy Physics - Theory · Physics 2009-10-31 Kasper Peeters , Pierre Vanhove , Anders Westerberg

We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical…

High Energy Physics - Theory · Physics 2016-08-29 Sergio Ferrara , Renata Kallosh , Antoine Van Proeyen , Timm Wrase

We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed five-dimensional Sasaki-Einstein manifolds. We derive the lower dimensional…

High Energy Physics - Theory · Physics 2011-01-27 Ibrahima Bah , Alberto Faraggi , Juan I. Jottar , Robert G. Leigh

We calculate the beta-functions of the general massive (p,q) supersymmetric sigma model to two loop order using (1,0) superfields. The conditions for finiteness are discussed in relation to (p,q) supersymmetry. We also calculate the…

High Energy Physics - Theory · Physics 2009-10-28 N. D. Lambert

Two known 2-dim SUSY quantum mechanical constructions - the direct generalization of SUSY with first-order supercharges and Higher order SUSY with second order supercharges - are combined for a class of 2-dim quantum models, which {\it are…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Ioffe , J. Mateos Guilarte , P. A. Valinevich

We modify the four-dimensional N=1 linearized supergravity in a way that components in each superfield are completely identified with fields in the full superconformal formulation. This identification makes it possible to use both…

High Energy Physics - Theory · Physics 2015-05-28 Yutaka Sakamura

We provide a Lagrangian formulation of \Nf supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-K\"{a}hler spaces in a non-Abelian background gauge field. In two examples we discuss in…

High Energy Physics - Theory · Physics 2011-11-30 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

The usual derivation of Einstein's field equations from the Einstein--Hilbert action is performed by silently assuming the metric tensor's symmetric character. If this symmetry is not assumed, the result is a new theory, such as Einstein's…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Viktor T. Toth

The IKKT matrix model was proposed to be a non-perturbative formulation of type IIB superstring theory. One of its important consistency criteria is that the leading one-loop $1/r^8$ effective interaction between a cluster of type IIB…

High Energy Physics - Theory · Physics 2010-11-26 N. Hambli

The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. We point out that modular invariant (super-)potentials provide a simple and computable…

High Energy Physics - Theory · Physics 2023-06-16 Niccolò Cribiori , Dieter Lust