Towards the LargeNLimit of PureN=1Super Yang-Mills Theory

Abstract

We find the gravity solution corresponding to a large number of Neveu-Schwarz or D5-branes wrapped on a two sphere so that we have pure Nu = 1 super Yang-Mills in the IR. The supergravity solution is smooth, it shows confinement, and it breaks the U(1)(R) chiral symmetry in the appropriate way. When the gravity approximation is valid the masses of glueballs are comparable to the masses of Kaluza-Klein (KK) states on the 5-brane, but if we could quantize strings on this background it looks like we should be able to decouple the KK states.

Non-critical superstrings from four-dimensional gauge theory

“…In this case the UV theory is related to the six-dimensional theory living on the five-branes. Unwanted additional degrees of freedom appear in the form of Kaluza-Klein modes of mass ∼ 1/R arising from compactification of the six-dimensional theory on an S 2 of radius R. As in other examples [5], R needs to be large in string units ensure a large hierarchy between the UV scale M U V ∼ R −1 and the scale Λ of four-dimensional gauge dynamics 11 .…”

“…To avoid confusion, note that the matrix model analysis of [28,52,53] was applied to the Coulomb branch of the model where the F-terms are non-trivial. 5 Here [k] denotes the greatest integer less than or equal to k.…”

“…The large-N spectrum consists of infinite towers of stable glueballs corresponding to the excitations of a closed string. The AdS/CFT correspondence [2] provides examples of confining models [3][4][5]29] where the dual theory is a compactification of critical superstring theory in ten dimensions. Generally, however, the dual background contains Ramond-Ramond (RR) flux or there are other obstacles to quantization of the string.…”

Perturbative and non-perturbative aspects of pure Script N = 1 super Yang-Mills theory from wrapped branes

“…This is a natural setting to incorporate the twist condition necessary to retain some supersymmetry [7,8]. The metric in the string frame is [9,11] …”

“…One way to reduce supersymmetry is to consider SUGRA backgrounds generated by branes wrapping supersymmetric cycles [7,8]. Thus, the identification of such a SUGRA dual of pure N = 1 SYM theory by Maldacena and Nuñez (MN) [9] was a major achievement and has spurred a lot of activity. 1 For a list of references to other known cases of the gauge/gravity correspondence, we refer the reader to [11].…”