TY - JOUR

T1 - A massive study of M2-brane proposals

AU - Gomis, Jaume

AU - Rodríguez-Gómez, Diego

AU - Van Raamsdonk, Mark

AU - Verlinde, Herman

PY - 2008/9/1

Y1 - 2008/9/1

N2 - We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete vacua in one-to-one correspondence with partitions on N. For the mass-deformed Lorentzian three-algebra theory, we find only a single classical vacuum, casting doubt on its M2-brane interpretation. For the mass-deformed ABJM theory, we do find a discrete set of solutions, but these are more numerous than predicted. We discuss possible resolutions of this puzzling discrepancy. We argue that the classical vacuum solutions of the mass-deformed ABJM theory display properties of fuzzy three-spheres, as expected from their gravitational dual interpretation.

AB - We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete vacua in one-to-one correspondence with partitions on N. For the mass-deformed Lorentzian three-algebra theory, we find only a single classical vacuum, casting doubt on its M2-brane interpretation. For the mass-deformed ABJM theory, we do find a discrete set of solutions, but these are more numerous than predicted. We discuss possible resolutions of this puzzling discrepancy. We argue that the classical vacuum solutions of the mass-deformed ABJM theory display properties of fuzzy three-spheres, as expected from their gravitational dual interpretation.

KW - Gauge-gravity correspondence

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=58149314345&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58149314345&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2008/09/113

DO - 10.1088/1126-6708/2008/09/113

M3 - Article

AN - SCOPUS:58149314345

VL - 2008

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 113

ER -