A note on instanton effects in ABJM theory

A note on instanton effects in ABJM theory

We consider the quantum spectral problem appearing the Fermi gas formulation of the ABJM (Aharony-Bergman-Jafferis-Maldacena) matrix model. This is known to related to the refined topological string on local P1×P1 Calabi-Yau geometry. In the ABJM setting the problem is formulated by an integral equation, and is somewhat different from the one formulated directly in terms of the Calabi-Yau geome...

A Note on the Partition Function of ABJM Theory on S 3 231

Large D-instanton effects in string theory

By reduction along the time direction, black holes in 4 dimensions yield instantons in 3 dimensions. Each of these instantons contributes individually at order exp(−|Q|/gs) to certain protected couplings in the three-dimensional effective action, but the number of distinct instantons is expected to be equal (or comparable) to the number of black hole micro-states, i.e. of order exp(Q). The same...

New Instanton Effects in String Theory

An important non-perturbative feature of string theory or M -theory compactifications which preserve only N = 1 supersymmetry in four dimensions is that fundamental string worldsheet or brane instantons can sometimes generate an effective superpotential for the light chiral superfields that describe the classical moduli of the background. Such a superpotential drastically alters the low-energy ...

A multitrace deformation of ABJM theory

Motivated by the study of big crunch singularities in asymptotically AdS4 spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds to adding a potential which is unbounded below. In a ’t Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the ne...