All timelike supersymmetric solutions of three-dimensional half-maximal supergravity

Download

index.pdf

Date

2015-06-22

Author

DEĞER, NİHAT SADIK
Moutsopoulos, George
Samtleben, Henning
Sarıoğlu, Bahtiyar Özgür

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

179
views

0
downloads

We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector by considering their identification under the complexification of the local symmetry of the theory. It is found that only solutions that preserve 16/2(n), 1 <= n <= 3 real supersymmetries are allowed. We then classify supersymmetric solutions under the real local symmetry of the theory and we are able to solve the equations of motion for all of them. It is shown that all such solutions can be expressed as a direct sum of solutions of the integrable Liouville and SU(3) Toda systems. This completes the construction of all supersymmetric solutions of the model since the null case has already been solved.

Subject Keywords

Supergravity models, Extended supersymmetry

URI

https://hdl.handle.net/11511/36968

Journal

JOURNAL OF HIGH ENERGY PHYSICS

DOI

https://doi.org/10.1007/jhep06(2015)147

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Supersymmetric backgrounds and black holes in N = 1 , 1 $$ \mathcal{N}=\left(1,\;1\right) $$ cosmological new massive supergravity Alkaç, Gökhan; Basanisi, Luca; Bergshoeff, Eric A.; Devecioğlu, Deniz Olgu; Ozkan, Mehmet (Springer Science and Business Media LLC, 2015-10) Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the N = (1, 1) Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the N = 1 model but we find new solutions with a time-like Killing vector that are absent in the N = 1 case. An example of such a solution is a Lifshitz spacetime. We also consider the supersymmetry properties of the so-calle...
Almost periodic solutions of the linear differential equation with piecewise constant argument Akhmet, Marat (2009-10-01) The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.
AdS-plane wave and pp-wave solutions of generic gravity theories GÜRSES, METİN; Sisman, Tahsin Cagri; Tekin, Bayram (2014-12-02) We construct the anti-de Sitter-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we show that the most general two-tensor built from the Riemann tensor and its derivatives can be written in terms of the traceless Ricci tensor. Quadratic gravity theory plays a major role; therefore, we revisit the wave solutions in this theory. As examples of o...
Isovector axial vector and pseudoscalar transition form factors of Delta in QCD KÜÇÜKARSLAN, AYŞE; Ozdem, U.; Özpineci, Altuğ (2014-09-03) We investigate the isovector axial vector and pseudoscalar form factors of Delta baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a comparison with the predictions of lattice QCD, chiral perturbation theory and quark model.
Maximal green sequences of skew-symmetrizable 3 x 3 matrices Seven, Ahmet İrfan (2014-01-01) Maximal green sequences are particular sequences of mutations of skew-symmetrizable matrices which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Cordova-Vafa in the context of supersymmetric gauge theory. In this paper we study maximal green sequences of skew-symmetrizable 3 x 3 matrices. We show that such a matrix with a mutation-cyclic diagram does not have any maximal green sequence. We also obtain some basic properties of maximal green sequences ...

Citation Formats

N. S. DEĞER, G. Moutsopoulos, H. Samtleben, and B. Ö. Sarıoğlu, “All timelike supersymmetric solutions of three-dimensional half-maximal supergravity,” JOURNAL OF HIGH ENERGY PHYSICS, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36968.