Semiclassical quantization of rotating strings in Pilch-Warner geometry

Abstract

Some of the recent important developments in understanding string/gauge dualities are based on the idea of the highly symmetric motion of ''string solitons'' in the AdS 5 ϫS 5 geometry originally suggested by Gubser, Klebanov, and Polyakov. In this paper we study the symmetric motion of certain string configurations in the so-called Pilch-Warner geometry. The two-form field A 2 breaks down the supersymmetry to Nϭ1 but for the string configurations considered in this paper the classical values of the energy and the spin are the same as for string in AdSϫS 5 . Although trivial at the classical level, the presence of the NS-NS antisymmetric field couples the fluctuation modes that indicates changes in the quantum corrections to the energy spectrum. We compare our results with those obtained in the case of the pp-wave limit.

LOCALIZATION AT LARGE N

“…It would be extremely interesting to find a string-theory interpretation of these special values of λ. It is conceivable that some signs of the non-analyticity at √ λ ∼ nπ could be manifested for semiclassical strings in the Pilch-Warner geometry [36].…”

Entanglement of higher-derivative oscillators in holographic systems

“…On the other hand one can consider quadratic fluctuations around classical solutions. The case of rotating strings in PW background is considered in [35]. Since we expect that the Kalb-Ramond field will play again significant role, we will consider only the S 5 part of the geometry where the B-field is turned on.…”

“…Since the oscillators are one-dimensional, we do not include spatial index in the canonical variables x k µ , p k µ . The canonical coordinates x k µ , p k µ corresponding to the Poisson 1 For further details, please see [35]. 2 For an alternative Hamiltonian formulation of the odd-order PUO, please see [8].…”

Holographic dual of the Eguchi-Kawai mechanism

“…It is this analysis that first pointed to the 5d nature of the strongly-coupled N = 2 * SYM [4]. In addition, classical string probes [39], supersymmetry properties [40], and entanglement entropy [41] of the PW solution have been investigated. Owing to the ability to apply localization to the theory on S 4 [17], the strong-coupling behaviour of the free energy, Wilson loops [18,42], and the theory's phases [19][20][21] have been explored using matrix model techniques.…”