6 research outputs found
Vacuum Structure and Global Strings with Conical Singularities
Vacuum structure and global cosmic strings are analyzed in the effective
theory of self-interacting O(2) scalar fields on (3+1)-manifolds with conical
singularities. In the context of one-loop effective action computed by
heat-kernel methods with -function regularization, we find an
inhomogeneous vacuum of minimum energy and suggest some reason why low-energy
global strings are likely to be generated at the conical singularities.Comment: LaTeX, 13 pages, 2 figure
Notes on Supersymmetry Enhancement of ABJM Theory
We study the supersymmetry enhancement of ABJM theory. Starting from a supersymmetric Chern-Simons matter theory with gauge group
U(2)U(2) which is a truncated version of the ABJM theory, we find by
using the monopole operator that there is additional supersymmetry
related to the gauge group. We show this additional supersymmetry can combine
with supersymmetry of the original ABJM theory to an enhanced
SUSY with gauge group U(2)U(2) in the case . We
also discuss the supersymmetry enhancement of the ABJM theory with
U()U() gauge group and find a condition which should be satisfied
by the monopole operator.Comment: 23 pages, no figure, minor corrections, version to appear in JHE
Enhanced Supersymmetry of Nonrelativistic ABJM Theory
We study the supersymmetry enhancement of nonrelativistic limits of the ABJM
theory for Chern-Simons level . The special attention is paid to the
nonrelativistic limit (known as `PAAP' case) containing both particles and
antiparticles. Using supersymmetry transformations generated by the monopole
operators, we find additional 2 kinematical, 2 dynamical, and 2 conformal
supercharges for this case. Combining with the original 8 kinematical
supercharges, the total number of supercharges becomes maximal: 14
supercharges, like in the well-known PPPP limit. We obtain the corresponding
super Schr\"odinger algebra which appears to be isomorphic to the one of the
PPPP case. We also discuss the role of monopole operators in supersymmetry
enhancement and partial breaking of supersymmetry in nonrelativistic limit of
the ABJM theory.Comment: 22 pages, references added, version to appear in JHE