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This paper provides a more detailed background to the results of arXiv:1004.2692 concerning properties of multi-loop amplitudes in a pure spinor formulation of field theories with maximal supersymmetry. This involves the development of a…

High Energy Physics - Theory · Physics 2011-03-07 Jonas Bjornsson

We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It implies a quadratic gauge-fixed action, and a new gauge-invariant action with first-class constraints. The infinite pyramid of spinor ghosts appears in a simple way…

High Energy Physics - Theory · Physics 2009-11-11 Kiyoung Lee , Warren Siegel

Superconformal ghost current generators of conformal dimension 3/2 are constructed using the conformal ghosts and anticommuting infinite dimensional gamma matrices of the Clifford algebra. The super-Virasoro algebra for the ghosts in both…

High Energy Physics - Theory · Physics 2007-05-23 B. B. Deo

In this work, some aspects of the ambitwistor pure spinor string are investigated. The $b$ ghost is presented and its main properties are derived in a simple way, very similar to the usual pure spinor $b$ ghost construction. The heterotic…

High Energy Physics - Theory · Physics 2016-05-27 Renann Lipinski Jusinskas

BPS black hole solutions of U(1) gauged five-dimensional supergravity are obtained by solving the Killing spinor equations. These extremal static black holes live in an asymptotic AdS_5 space time. Unlike black holes in asymptotic flat…

High Energy Physics - Theory · Physics 2009-10-31 K. Behrndt , A. H. Chamseddine , W. A. Sabra

Supersymmetric field theories can be studied exactly on suitable off-shell supergravity backgrounds. We show that in two dimensions such backgrounds are identifiable with BRST invariant backgrounds of topological gravity coupled to an…

High Energy Physics - Theory · Physics 2016-10-24 Jinbeom Bae , Camillo Imbimbo , Soo-Jong Rey , Dario Rosa

Starting with a classical action whose matter variables are a d=10 spacetime vector $x^m$ and a pure spinor $\lambda^\alpha$, the pure spinor formalism for the superstring is obtained by gauge-fixing the twistor-like constraint $\partial…

High Energy Physics - Theory · Physics 2015-05-28 Nathan Berkovits

We consider the BRST symmetric four dimensional BF theory, a topological theory, containing antysymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the…

High Energy Physics - Theory · Physics 2017-09-05 Manoj Kumar Dwivedi

We observe and study new non-linear global space-time symmetries of the full ghost+matter action of RNS superstring theory. We show that these surprising new symmetries are generated by the special worldsheet currents (vertex operators) of…

High Energy Physics - Theory · Physics 2010-10-27 Dimitri Polyakov

Geometric Killing spinors which exist on AdS_{p+2} X S^{d-p-2} sometimes may be identified with supersymmetric Killing spinors. This explains the enhancement of unbroken supersymmetry near the p-brane horizon in d dimensions. The…

High Energy Physics - Theory · Physics 2009-10-07 Ali Chamseddine , Sergio Ferrara , Gary W. Gibbons , Renata Kallosh

A $b$-ghost was constructed for the $D=11$ non-minimal pure spinor superparticle by requiring that $\{Q , b\} = T$ where $Q = \Lambda^{\alpha}D_{\alpha} + R^{\alpha}\bar{W}_{\alpha}$ is the usual non-minimal pure spinor BRST operator. As…

High Energy Physics - Theory · Physics 2018-01-30 Nathan Berkovits , Max Guillen

The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free…

High Energy Physics - Theory · Physics 2011-07-26 S. F. Hassan , Rachel A. Rosen

We elaborate on the presence of a nonvanishing totally antisymmetric (super)torsion, equivalent to an axial vector, and higher forms in the "new minimal" and "old minimal" off-shell formulations of $\mathcal{N}=1$, $D=4$ supergravity. We…

High Energy Physics - Theory · Physics 2024-04-29 Lucrezia Ravera

We study a class of supersymmetric spinning particle models derived from the radial quantization of stationary, spherically symmetric black holes of four dimensional N= 2 supergravities. By virtue of the c-map, these spinning particles move…

High Energy Physics - Theory · Physics 2015-05-18 David Cherney , Emanuele Latini , Andrew Waldron

We explicitly construct N=4 worldline supersymmetric minimal off-shell actions for five options of 1/2 partial spontaneous breaking of $N=8, d=1$ Poincar\'e supersymmetry. We demonstrate that the action for the N=4 Goldstone supermultiplet…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Krivonos , A. Shcherbakov

We formulate off-shell N=1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino…

High Energy Physics - Theory · Physics 2017-12-01 Sergei M. Kuzenko , Ruben Manvelyan , Stefan Theisen

We outline, on a few instructive examples, the characteristic features of the approach to superbranes and super Born-Infeld theories based on the concept of partial spontaneous breaking of global supersymmetry (PBGS). The examples include…

High Energy Physics - Theory · Physics 2008-11-26 E. Ivanov

On-shell supergravity vertex operators in an $AdS_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $AdS_5$…

High Energy Physics - Theory · Physics 2015-06-12 Nathan Berkovits , Thiago Fleury

In this text we combine the notions of supergeometry and supersymmetry. We construct a special class of supermanifolds whose reduced manifolds are (pseudo) Riemannian manifolds. These supermanifolds allow us to treat vector fields on the…

Differential Geometry · Mathematics 2020-01-15 Frank Klinker

We determine the action for five-dimensional maximally supersymmetric Yang-Mills in off-shell supergravity backgrounds. The resulting theory contains novel five-dimensional BF type couplings as well as cubic scalar interactions which vanish…

High Energy Physics - Theory · Physics 2013-05-14 Clay Cordova , Daniel L. Jafferis