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We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments,…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bern , J. J. Carrasco , L. J. Dixon , H. Johansson , D. A. Kosower , R. Roiban

Type-IIB supersymmetric theories have an SL(2,Z) invariance, known as U-duality, which controls the non-perturbative behavior of the theory. Under SL(2,Z) the supercharges are doublets, implying that the bosonic charges would be singlets or…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

Using the superconformal framework, we construct a new off-shell model for $\cal N=4$ topologically massive supergravity which is minimal in the sense that it makes use of a single compensating vector multiplet and involves no free…

High Energy Physics - Theory · Physics 2017-03-23 Sergei M. Kuzenko , Joseph Novak , Ivo Sachs

This thesis presents the general structure of non-conformal higher-spin supercurrent multiplets in three and four spacetime dimensions. Such supercurrents are in one-to-one correspondence with off-shell massless higher-spin gauge…

High Energy Physics - Theory · Physics 2020-09-03 Jessica Hutomo

Conformal supergravity provides an effective off-shell formalism to study higher derivative actions. We show that the $D=4$, $\mathcal{N}=2$ theory admits equivariantly closed forms. These may be used to compute closed-form expressions for…

High Energy Physics - Theory · Physics 2026-04-13 Pietro Benetti Genolini , Florian Gaar , Jerome P. Gauntlett , James Sparks

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

High Energy Physics - Phenomenology · Physics 2015-09-11 Wim Beenakker , Tom van Daal , Ronald Kleiss , Rob Verheyen

We develop geometric superspace settings to construct arbitrary higher derivative couplings (including R^n terms) in three-dimensional supergravity theories with N=1,2,3 by realising them as conformal supergravity coupled to certain…

High Energy Physics - Theory · Physics 2015-10-08 Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We discuss constraints imposed by soft limits for effective field theories arising from symmetry breaking. In particular, we consider those associated with anomalous conformal symmetry as well as duality symmetries in supergravity. We…

High Energy Physics - Theory · Physics 2016-01-27 Yu-tin Huang , Congkao Wen

We investigate N=2, D=5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a Lagrangian. Under this assumption, we already find at the level of rigid…

High Energy Physics - Theory · Physics 2009-11-07 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Rein Halbersma , Stefan Vandoren , Antoine Van Proeyen

A systematic off-shell reduction scheme from five to four space-time dimensions is presented for supergravity theories with eight supercharges. It is applicable to theories with higher-derivative couplings and it is used to address a number…

High Energy Physics - Theory · Physics 2015-06-03 Nabamita Banerjee , Bernard de Wit , Stefanos Katmadas

The Lorentz covariant all-loop counterterms built in the 4+32 on shell superspace of N=8 supergravity imply that the theory is not UV finite. Meanwhile, the relevant counterterms depending on the light-cone superfields in 4+16 superspace…

High Energy Physics - Theory · Physics 2008-11-16 Renata Kallosh

A consistent gauging of maximal supergravity requires that the T-tensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to group-theoretical analysis, which we explain…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Henning Samtleben , Mario Trigiante

We present a description for amplitude diagrams in maximal supergravities obtained by dimensional reduction from D=11, derived from a field theory point of view using the pure spinor formalism. The advantages of this approach are the…

High Energy Physics - Theory · Physics 2015-06-12 Martin Cederwall , Anna Karlsson

${{\cal N}=4}$ supergravity is understood to contain a $U(1)$ anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this letter we provide detailed…

High Energy Physics - Theory · Physics 2018-11-13 Zvi Bern , Julio Parra-Martinez , Radu Roiban

Maldacena's duality between conformal field theories and supergravity is applied to some conformal invariant models with 8 supercharges appearing in the F-theory moduli space on a locus of constant coupling. This includes Sp(2N) gauge…

High Energy Physics - Theory · Physics 2009-10-31 A. Fayyazuddin , M. Spalinski

The conditions for fully supersymmetric backgrounds of general N=2 locally supersymmetric theories are derived based on the off-shell superconformal multiplet calculus. This enables the derivation of a non-renormalization theorem for a…

High Energy Physics - Theory · Physics 2015-06-18 Daniel Butter , Bernard de Wit , Ivano Lodato

There exist several different proposals for a measure in Quantum Gravity theories. Although sometimes being labelled as non covariant, the measure derived in [7] for GR has the particularity that, in the extremal, the volume divergences…

General Relativity and Quantum Cosmology · Physics 2026-03-05 O. P. Santillán

We formulate N=2 twisted super Yang-Mills theory with a gauged central charge by superconnection formalism in two dimensions. We obtain off-shell invariant supermultiplets and actions with and without constraints, which is in contrast with…

High Energy Physics - Theory · Physics 2014-05-07 Keisuke Asaka , Junji Kato , Noboru Kawamoto , Akiko Miyake

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2…

High Energy Physics - Theory · Physics 2015-06-11 W. Chemissany , S. Ferrara , R. Kallosh , C. S. Shahbazi

Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are…

High Energy Physics - Theory · Physics 2012-07-04 Eric Bergshoeff , Frederik Coomans , Ergin Sezgin , Antoine Van Proeyen
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