Time-dependent and Non-BPS Solutions in N=6 Superconformal Chern-Simons Theory

Abstract

We study a class of classical solutions of three-dimensional N=6 superconformal Chern-Simons theory coupled with U(N) \times U(N) bi-fundamental matter fields. Especially, time evolutions of fuzzy spheres are discussed for both massless and massive cases. For the massive case, there are a variety of solutions having different behaviors according to the value of the mass. In addition to the time-dependent solutions, we analyze non-BPS static solutions which represent parallel M5/M5 or M5/anti-M5-branes suspended by multiple M2-branes. These solutions are similar to the fundamental strings connecting two parallel (anti) Dp-branes in perturbative string theory. A moving M5-brane and domain wall solutions with constant velocity that are obtained by the Lorentz boost of the known BPS solutions are briefly addressed.

27 pages, 9 figures, published version in JHEP

Cited by in corpus (7)

• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• M5-brane Solution in ABJM Theory and Three-algebra
• On Non-linear Action for Gauged M2-brane
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory