Fractional M2-branes

By O. Aharony, O. Bergman, D. Jafferis. 2008

806 citations recorded by the source corpus.

We consider two generalizations of the = 6 superconformal Chern-Simons-matter theories with gauge group U(N) × U(N). The first generalization is to = 6 superconformal U(M) × U(N) theories, and the second to = 5 superconformal O(2M) × USp(2N) and O(2M+1) × USp(2N) theories. These theories are conjectured to describe M2-branes probing C4/Zk in the unitary case, and C4/k in the orthogonal/symplectic case, together with a discrete flux, which can be interpreted as |M−N| fractional M2-branes localized at the orbifold singularity. The classical theories with these gauge groups have been constructed before; in this paper we focus on some quantum aspects of these theories, and on a detailed description of their M theory and type IIA string theory duals.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0f5d0342b73dcc571951fbb7969f30dce798a0ff

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Citations in the corpus

Exact results in ABJM theory from topological strings (2009, methodology): “More recently, Kapustin, Willett and Yaakov [5] have applied localization techniques to ABJM theories [6, 7].”
Chern–Simons theory with vector fermion matter (2011, background): “3 we also note that the maximally supersymmetric extension of the theory studied in this paper is precisely the ABJ model [12] with one of the gauge groups taken to be U(1).”
Instanton effects in ABJM theory from Fermi gas approach (2012, background): “1) (and its generalization to the ABJ model [21]) is related to the lens space matrix model [22, 23](5) by an analytic continuation of the rank of the gauge group, and it is further related to the topological string on local F0 via a large N duality.”
ABJM theory as a Fermi gas (2011, background): “For example, one should consider, already in the N = 3 case, the issue of quantum corrections and possible Airy behavior in theories where the free energy is not real, as well as in theories where the nodes have different ranks [63].”
Non-perturbative effects and the refined topological string (2013, positive): “One obvious, simple generalization of this work is ABJ theory [53], but one could consider the more general class of N = 3 theories which can be formulated as free Fermi gases [8].”
Summing up all genus free energy of ABJM matrix model (2011, background): “(2)In [9] the unequal rank U(N1)×U(N2) case [18] was also studied, and the generalization of (1.”
ABJM with Flavors and FQHE (2009, background): “On the gravity side, these M fractional D2-branes are unstable and would fall into the horizon of AdS4, leaving only NSNS 2-form flux behind [19]”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “These considerations can be also applied to the fractional M2-brane theory [13] with gauge group U(N1) × U(N2).”
A simple class of N = 3 gauge/gravity duals (2008, methodology): “This generalizes the orientifolds considered in [17].”
Localization techniques in quantum field theories (2016, methodology): “Localization can be applied to the more general Ω-deformed A-twist as well [9, 10].”
Anomalous radius shift in AdS4/CFT3 (2009, background): “Indeed evidence was presented in [3] that there are no superconformal theories with |M − N | > k, and that the theories with M − N ≤ 0 are related to those with M − N ≤ k by a threedimensional version of Seiberg duality (called parity duality).”
Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories (2011, methodology): “5 The ABJM matrix model Let us now consider the matrix model calculating the partition function on S3 of ABJM theory, or rather its generalization [5] to the gauge group U(N1)×U(N2).”
Supersymmetry on curved spaces and holography (2012, positive): “The first generalisation of Seiberg like dualities on CS quiver gauge theories appeared in [154] for the ABJM model.”
The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, background): “For a detailed discussion in a particular class of examples, see [29, 24].”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “Similarly we expect that the AdS4-deformed solutions are dual to appropriate lightlike deformations of Chern-Simons theories arising on M2-branes stacked at appropriate supersymmetric singularities [39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49], dimensionally reduced along a compact direction.”
Exact results on the ABJM Fermi gas (2012, background): “Recently, there is a breakthrough [2] (along with its extension with fractional branes [3]) in understanding branes in M-theory, where it was proposed that the worldvolume theory of M2branes is described by the supersymmetric extension of the Chern-Simons theory.”
From Weak to Strong Coupling in ABJM Theory (2010, methodology): “It is very useful to consider the generalization of the gauge theory where the rank of the two gauge groups are not equal [11].”
Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy (2009, methodology): “If we consider an unstable configuration of M D4-brane wrapped on CP1 which are parallel with the background D2-branes, then the D4-branes fall into the horizon of AdS4 and only the flux remains.”