Little string theory from double-scaling limits of field theories

Abstract

We show that little string theory on S 5 can be obtained as double-scaling limits of the maximally supersymmetric Yang-Mills theories on R×S 2 and R×S 3 /Z k . By matching the gauge theory parameters with those in the dual supergravity solutions found by Lin and Maldacena, we determine the limits in the gauge theories that correspond to decoupling of NS5-brane degrees of freedom. We find that for the theory on R × S 2 , the 't Hooft coupling must be scaled like ln 3 N , and on R × S 3 /Z k , like ln 2 N . Accordingly, taking these limits in these field theories gives Lagrangian definitions of little string theory on S 5 .

Emergent bubbling geometries in the plane wave matrix model

“…The double scaling limits to the NS5-brane solutions were also proposed for these theories [40]. On the gauge theory side, the localization was also applied to these theories [18].…”

Emergent bubbling geometries in gauge theories with SU(2|4) symmetry

“…As remarked in [27], this divergence can be avoided by solving the electrostatic problem for the electric field rather than the potential. Hence, by differentiating (2.22) with respect to x and imposing the periodicity condition, one can obtain the integral equations for the charge densities {f α (r)},…”

“…If we write for each s 27) it is easy to see that h s (u) are determined by the following equations.…”

General Lin-Maldacena solutions and PWMM instantons from supergravity

“…The integers in the vacuum configuration for Φ are related to positions of the disks by z = nπ/2, and the number of units of charge on the disk is related to the number of times that each integer appears by Q = π 2 N/8 [2]. The solutions to these electrostatics problems have been given in some specific cases [2,5,11]. For example the limit that the disks are very large, or only the geometry near the tip of a disk is of interest, the problem becomes two dimensional and it is possible to treat it with conformal mapping [2,5,6,11].…”

“…This problem is similar to the one for two disks considered in [11], however we will allow the disks here to sit at arbitrary positions, d i and have arbitrary sizes, R i . We can take the potential to be…”