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The most general class of 4D N=4 conformal supergravity actions depends on a holomorphic function of the scalar fields that parametrize an SU(1,1)/U(1) coset space. The bosonic sector of these actions was presented in a letter…

High Energy Physics - Theory · Physics 2020-01-29 Daniel Butter , Franz Ciceri , Bindusar Sahoo

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

We study 4-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained with an orbifold projection from $\mathcal{N}=4$ SYM, and compute the 2- and 3-point correlation functions among chiral/anti-chiral single-trace scalar…

High Energy Physics - Theory · Physics 2022-10-19 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We derive a general formula for the on-shell action of six-dimensional Euclidean Romans supergravity using equivariant localization. Our results are obtained without the need for solving any of the equations of motion, instead working on…

High Energy Physics - Theory · Physics 2025-11-06 Christopher Couzens , Carolina Matte Gregory , Davide Muniz , Tabea Sieper , James Sparks

We consider Abelian tensor hierarchy in four-dimensional ${\cal N}=1$ supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce $p$-form gauge superfields…

High Energy Physics - Theory · Physics 2016-10-12 Shuntaro Aoki , Tetsutaro Higaki , Yusuke Yamada , Ryo Yokokura

Harmonic superspace can be used to construct higher derivative terms in N=2 supersymmetric effective actions despite the infinite redundancy in their description due to the infinite number of auxiliary fields. We are able to write down all…

High Energy Physics - Theory · Physics 2017-08-23 Philip C. Argyres , Adel M. Awad , Gregory A. Braun , F. Paul Esposito

In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we analytically obtain the exact strong-coupling behavior of the normalized 3-point…

High Energy Physics - Theory · Physics 2022-07-21 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified…

High Energy Physics - Theory · Physics 2022-11-01 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

Using a recently developed off-shell formulation for general 4D N=2 supergravity-matter systems, we propose a construction to generate higher derivative couplings. We address here mainly the interactions of tensor and vector multiplets, but…

High Energy Physics - Theory · Physics 2016-01-20 Daniel Butter , Sergei M. Kuzenko

We investigate equivariant localization of the gravitational on-shell action in odd dimensions, focusing on five-dimensional ungauged supergravity. We analyze the conditions for cancellation of boundary terms, so that the full action…

High Energy Physics - Theory · Physics 2024-10-04 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

We extend previous investigations on the construction of extremal supersymmetric and non-supersymmetric solutions in the H-FGK formalism to "unconventional" solutions with anharmonic terms. We show how the use of "fake" charge vectors…

High Energy Physics - Theory · Physics 2015-06-16 P. Bueno , P. Galli , P. Meessen , T. Ortin

Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths,…

High Energy Physics - Theory · Physics 2016-11-30 Sergei M. Kuzenko , Daniel X. Ogburn

We construct families of supersymmetric solutions of type IIB and D=11 supergravity that are invariant under the non-relativistic conformal algebra for various values of dynamical exponent z greater than or equal to 4 and 3, respectively.…

High Energy Physics - Theory · Physics 2009-11-13 Aristomenis Donos , Jerome P. Gauntlett

We discuss $N=2\to N=1$ reduction in four dimensional conformal supergravity. In particular, we keep the off-shell structure of supermultiplets (except hypermultiplets). As we will show, starting with (almost) off-shell conformal…

High Energy Physics - Theory · Physics 2019-06-26 Yusuke Yamada

In this paper we develop the formalism to study superforms in N=2 harmonic superspace. We perform a thorough (if not complete) analysis of the superforms starting from 0-form and moving all the way up to 6-form. Like the N=1 case we find…

High Energy Physics - Theory · Physics 2010-02-03 Tirthabir Biswas , Warren Siegel

Understanding the consequences of the E_{7(7)} duality on the UV properties of N=8 supergravity requires unravelling when and how duality-covariant actions can be constructed so as to accommodate duality-invariant counter-terms. For…

High Energy Physics - Theory · Physics 2012-08-03 Johannes Broedel , John Joseph M. Carrasco , Sergio Ferrara , Renata Kallosh , Radu Roiban

We present a systematic way for deriving a four-dimensional (4D) effective action of the five-dimensional (5D) orbifold supergravity respecting the N=1 {\it off-shell} structure. As an illustrating example, we derive a 4D effective theory…

High Energy Physics - Theory · Physics 2007-10-16 Hiroyuki Abe

We consider the holographic dual of SQCD in the conformal phase. It is based on a higher derivative gravity theory, which ensures the correct field theory anomalies. This is then related to a six dimensional gravity theory via S^1…

High Energy Physics - Theory · Physics 2009-11-11 James Babington

We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic $p$-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present…

High Energy Physics - Theory · Physics 2020-05-20 Leonardo Castellani