Partition functions for M2-brane theories in various backgrounds are computed. We consider in particular configurations of membranes at orbifold singularities preserving N = 5 or N = 6 supersymmetry. The worldvolume membrane theory for some of these configurations has been recently constructed in terms of N = 6 Chern-Simons theories. The detailed structure of the partition functions as well as their transformation rules under the R-symmetry are explicitly computed using the Plethystic Programme. © 2008 SISSA.
Hanany, A., Mekareeya, N., Zaffaroni, A. (2008). Partition functions for membrane theories. JOURNAL OF HIGH ENERGY PHYSICS, 2008 [10.1088/1126-6708/2008/09/090].
Partition functions for membrane theories
ZAFFARONI, ALBERTO
2008
Abstract
Partition functions for M2-brane theories in various backgrounds are computed. We consider in particular configurations of membranes at orbifold singularities preserving N = 5 or N = 6 supersymmetry. The worldvolume membrane theory for some of these configurations has been recently constructed in terms of N = 6 Chern-Simons theories. The detailed structure of the partition functions as well as their transformation rules under the R-symmetry are explicitly computed using the Plethystic Programme. © 2008 SISSA.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.