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@article{1380302,
author = {Vohánka, Jiří and Faizal, M.},
article_location = {AMSTERDAM},
article_number = {March},
doi = {http://dx.doi.org/10.1016/j.nuclphysb.2015.12.010},
keywords = {FERMIONIC STRINGS; SUPERGRAVITY; FORMALISM; TERMS},
language = {eng},
issn = {0550-3213},
journal = {Nuclear Physics B},
title = {Supersymmetric Chern-Simons theory in presence of a boundary in the light-like direction},
volume = {904},
year = {2016}
}
TY - JOUR
ID - 1380302
AU - Vohánka, Jiří - Faizal, M.
PY - 2016
TI - Supersymmetric Chern-Simons theory in presence of a boundary in the light-like direction
JF - Nuclear Physics B
VL - 904
IS - March
SP - 327-347
EP - 327-347
PB - North Holland
SN - 05503213
KW - FERMIONIC STRINGS
KW - SUPERGRAVITY
KW - FORMALISM
KW - TERMS
N2 - In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by n . x = 0, where n is a light-like vector. It will be demonstrated that this boundary is preserved under the action of the SIM(1) subgroup of the Lorentz group. Furthermore, the presence of this boundary will break half of the supersymmetry of the original theory. As the original Chern-Simons theory had N = 1 supersymmetry in absence of a boundary, it will only have N = 1/2 supersymmetry in presence of this boundary. We will also observe that the Chern-Simons theory can be made gauge invariant by introducing new degrees of freedom on the boundary. The gauge transformation of these new degrees of freedom will exactly cancel the boundary term obtained from the gauge transformation of the Chern-Simons theory. (C) 2015 Published by Elsevier B.V.
ER -
VOHÁNKA, Jiří a M. FAIZAL. Supersymmetric Chern-Simons theory in presence of a boundary in the light-like direction. \textit{Nuclear Physics B}. AMSTERDAM: North Holland, 2016, roč.~904, March, s.~327-347. ISSN~0550-3213. Dostupné z: https://dx.doi.org/10.1016/j.nuclphysb.2015.12.010.
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