English

Domain walls in three dimensional gauged supergravity

High Energy Physics - Theory 2012-10-03 v3

Abstract

We explicitly construct two Chern-Simons gauged supergravities in three dimensions with N=4 and N=8 supersymmetries and non-semisimple gauge groups. The N=4 theory has scalar manifold SO(4,3)/SO(4)×SO(3)SO(4,3)/SO(4)\times SO(3) with the gauge group SO(3)(T3,T^3)SO(3)\ltimes (\mathbf{T}^3,\hat{\mathbf{T}}^3). The theory describes (1,0) six dimensional supergravity reduced on an SU(2) group manifold. The equivalent Yang-Mills type gauged supergravity has SO(3) gauge group coupled to three massive vector fields. The N=8 theory is described by SO(8,8)/SO(8)×SO(8)SO(8,8)/SO(8)\times SO(8) scalar manifold, and the gauge group is given by SO(8)T28SO(8)\ltimes \mathbf{T}^{28}. The theory is a truncation of the SO(8)T28SO(8)\ltimes \mathbf{T}^{28} gauged N=16 theory with scalar manifold E8(8)/SO(16)E_{8(8)}/SO(16) and can be obtained by an S^7 compactification of type I theory in ten dimensions. Domain wall solutions of both gauged supergravities are analytically found and can be uplifted to higher dimensions. These provide domain wall vacua in the three dimensional gauged supergravity framework which might be useful for the study of Domain Wall3_3/QFT2_2 correspondence.

Keywords

Cite

@article{arxiv.1207.1027,
  title  = {Domain walls in three dimensional gauged supergravity},
  author = {Parinya Karndumri},
  journal= {arXiv preprint arXiv:1207.1027},
  year   = {2012}
}

Comments

19 pages, no figures, typoes and a mistake in a sign corrected, clarifications on the notations added

R2 v1 2026-06-21T21:30:31.463Z