N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals Export

@article{citeulike:2946864, abstract = {We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the low energy limit of N M2-branes probing a C^4/Z\_k singularity. At large N the theory is then dual to M theory on AdS\_4xS^7/Z\_k. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS\_4xCP^3. For k=1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d=3 gauge theories. When the gauge group is SU(2)xSU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.}, archivePrefix = {arXiv}, author = {Aharony, Ofer and Bergman, Oren and Jafferis, Daniel L. and Maldacena, Juan}, citeulike-article-id = {2946864}, citeulike-linkout-0 = {http://arxiv.org/abs/0806.1218}, citeulike-linkout-1 = {http://arxiv.org/pdf/0806.1218}, citeulike-linkout-2 = {http://dx.doi.org/10.1088/1126-6708/2008/10/091}, day = {23}, doi = {10.1088/1126-6708/2008/10/091}, eprint = {0806.1218}, keywords = {abjm, chern-simons, m2-branes}, month = {Oct}, posted-at = {2008-10-12 22:12:11}, priority = {2}, title = {N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals}, url = {http://dx.doi.org/10.1088/1126-6708/2008/10/091}, year = {2008} }

TY - JOUR ID - citeulike:2946864 L3 - citeulike-article-id:2946864 N2 - We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the low energy limit of N M2-branes probing a C^4/Z_k singularity. At large N the theory is then dual to M theory on AdS_4xS^7/Z_k. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS_4xCP^3. For k=1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d=3 gauge theories. When the gauge group is SU(2)xSU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory. TI - N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals KW - abjm KW - chern-simons KW - m2-branes AU - Aharony, Ofer AU - Bergman, Oren AU - Jafferis, Daniel AU - Maldacena, Juan PY - 2008/Oct/23/ UR - http://dx.doi.org/10.1088/1126-6708/2008/10/091 ER -