Critical and non-critical Einstein-Weyl supergravity (original) (raw)

On Critical Massive (Super)Gravity in adS 3

Journal of Physics: Conference Series, 2011

We review the status of three-dimensional "general massive gravity" (GMG) in its linearization about an anti-de Sitter (adS) vacuum, focusing on critical points in parameter space that yield generalizations of "chiral gravity". We then show how these results extend to N = 1 super-GMG, expanded about a supersymmetric adS vacuum, and also to the most general 'curvature-squared' N = 1 supergravity model.

HUTP-00/A031, UPR-897T hep-th/0007211 Four Dimensional Conformal Supergravity From AdS Space

2000

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N = 2) gauged supergravities in five dimensions induce the multiplets and transformations of N = 1 four dimensional conformal supergravity on the spacetime boundary. N = 1 Poincaré supergravity can be induced by explicitly breaking the conformal invariance via a radial cutoff in the 5d space. The AdS/CFT correspondence relates the maximal gauged supergravity in five dimensions to N = 4 super Yang-Mills on the 4d spacetime boundary. In this context we show that the conformal anomaly of the gauge theory induces conformal gravity on the boundary of the space and that this theory, via the renormalization group, encapsulates the gravitational dynamics of the skin of asymptotically AdS spacetimes. Our results have several applications to the AdS/CFT correspondence and the Randall-Sundrum scenario. 1

Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions

Progress of Theoretical Physics Supplement, 1996

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of auxiliary fields. As a by-product we present a consistent non-linear coupling of a spin-2 tensor to gravitation. It is shown that non-vanishing (C µναβ ) 2 terms arise in N = 1, D = 4 superstring Lagrangians due to one-loop radiative corrections with light-field internal lines. We discuss the general form of quadratic (1, 1) supergravity in two dimensions, and show that this theory is equivalent to two scalar supermultiplets coupled to the usual Einstein supergravity. It is demonstrated that the theory possesses stable vacua with vanishing cosmological constant which spontaneously break supersymmetry. We then generalize this result to N = 1 supergravity in four dimensions. Specifically, we demonstrate that a class of higher derivative supergravity theories is equivalent to two chiral supermultiplets coupled in a specific way to Einstein supergravity. These theories are shown to possess stable vacuum states with vanishing cosmological constant which spontaneously break the N = 1 supersymmetry.

Supersymmetrizing massive gravity

Physical Review D, 2013

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering four N = 1 chiral superfields with global Lorentz symmetry. The global supersymmetry is promoted to a local one using the rules of tensor calculus of coupling the N = 1 supergravity Lagrangian to the four chiral multiplets. When the scalar components of the chiral multiplets z A acquire a vacuum expectation value, both diffeomorphism invariance and local supersymmetry are broken spontaneously. The global Lorentz index A becomes identified with the space-time Lorentz index making the scalar fields z A vectors and the chiral spinors ψ A spin-3/2 Rarita-Schwinger fields. We show that the spectrum of the model in the broken phase consists of a massive spin-2 field, two massive spin-3/2 fields with different mass and a massive vector.

Four-dimensional conformal supergravity from AdS space

Physical Review D, 2001

Critical higher order gravities in higher dimensions

Physical Review D, 2013

We show that the higher order gravity model proposed by Meissner and Olechowski has a graviton mode, a massive spin-two excitation and no scalar mode in a maximally symmetric spacetime; therefore, by choosing the coefficients, we can construct a Lagrangian for 'critical gravity' from higher order terms of curvatures in higher dimensions. We also give a comment on construction of the theory with multi-criticality in higher order gravities.

N = 3 Conformal Supergravity in Four Dimensions

2021

In this paper we derive the action for N = 3 conformal supergravity in four space-time dimensions. We construct a density formula for N = 3 conformal supergravity based on the superform action principle. Finally, we embed the N = 3 Weyl multiplet in the density formula to obtain the invariant action for N = 3 conformal supergravity. We will show that there are two inequivalent embeddings by changing a particular coefficient from real to imaginary. They lead to invariant actions, which will either be the supersymmetrization of the Weyl square term or the Pontryagin density in the eventuality of gauge fixing to Poincaré supergravity. We also discuss consistent truncation of N = 4 Weyl multiplet to N = 3 Weyl multiplet and use it for a robust check of our results using the earlier known results in N = 4 conformal supergravity.

Four-dimensional higher-derivative supergravity and spontaneous supersymmetry breaking

Nuclear Physics B, 1996

We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity coupled to a single chiral superfield. It has a unique stable vacuum solution except in a special case, when it becomes identical to a simple no-scale theory. The second class is found to be equivalent to Einstein supergravity coupled to two chiral superfields and has a richer vacuum structure. It is demonstrated that theories of the second class can possess a stable vacuum with vanishing cosmological constant that spontaneously breaks supersymmetry. We present an explicit example of this phenomenon and compare the result with the Polonyi model.

Exceptional 𝒩 = 6 and 𝒩 = 2 AdS 4 supergravity, and zero-center modules

Journal of High Energy Physics, 2009

We study the gauging of the orthosymplectic algebras OSp(6|4) × SO(2) and its "dual" OSp(2|4) × SO(6), both based on supergravities with the same exceptional coset SO * (12)/ U(6), and gauge group SO(6) × SO(2). The two dual theories are obtained by two different truncations of gauged N = 8 AdS 4 supergravity. We explicitly study the gauge sector of the two dual theories with the most general group allowed by supersymmetry. In the ungauged (super-Poincaré) case they exhibit the same (large) black-hole attractor solutions with dual relations between the 1/N -BPS and non-BPS configurations. The N = 6 gravity multiplet has also the exceptional property to be a zero-center module of OSp(6|4), as it is the case for superconformal Yang-Mills theory in four dimensions based on SU(2, 2|n) (PSU(2, 2|4) for n = 4) or OSp(n|4). . spinors). As far as the gauging is concerned, we analyze the consistency of the truncation procedure and, by use of the embedding tensor formalism, we give a detailed analysis of the gauge sector of both theories, for a generic group. We then work out the details in the particular case of the SO(2)×SO(6) gaugings, and determine the explicit form of the fermionic shifts and the scalar potential.

A note on unimodular N=1, d=4 AdS supergravity

Journal of Cosmology and Astroparticle Physics, 2020

We put forward a unimodular N = 1, d = 4 anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter spacetime with radius given by the equation of motion of the auxiliary scalar field, ie, S = 3 κL. However, we see that the non-supersymmetric classical vacua of the unimodular theory are Minkowski and de Sitter spacetimes as well as anti-de Sitter spacetime with radius l = L .

Critical and non-critical Einstein-Weyl supergravity (original) (raw)

Related papers