Anomalous radius shift in AdS4/CFT3

By O. Bergman, S. Hirano. 2009

146 citations recorded by the source corpus.

We study higher order corrections to the radius/M2-brane charge of AdS4 × S7/k. There are two sources of corrections: one from the orbifold singularity of 4/k, and the other from the discrete torsion associated with the homology 3-cycle H3(S7/k,) = k. We give a precise formula for the charge shift. These corrections are relevant, for example, at two loops in the AdS4 × P3 sigma model, and therefore for the strong coupling test of the all loop Bethe ansatz.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9ba7a44c345fa670449ca0b79bd36b44a4767d9f

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Citations in the corpus

A one-loop test of quantum supergravity (2012, background): “The first subleading correction of order N1/2 ∼ L3 originates from a local eight-derivative correction to the effective action that modifies the relation between N and L by shifting N by −B({ka}, {Nfa})[12, 13].”
$N=3$ four dimensional field theories (2017, methodology): “This computation was done in [22], with the result χ(C(4)/Zk) = k − 1 k (3.”
Exact results on the ABJM Fermi gas (2012, methodology): “This matrix model has the measure of Chern-Simons type and many techniques from the ChernSimons matrix model such as the one in [10] were utilized [11] to obtain not only the N3/2 behavior of the free energy in the planar limit but also the shift of the ’t Hooft coupling N k → Nk − 1 24 as expected ”
Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant (2012, background): “This “renormalized ’t Hooft coupling” is different from the expectation from the gravity side [49] : λren,grav = λ − 1/24 + λ2/(24N2).”
Nonperturbative aspects of ABJM theory (2011, background): “In particular, one has to take into account the anomalous shifts relating the rank of the gauge group N to the Maxwell charge Q, which in turn determines the compactification radius L [18, 19].”