The non-Abelian T-dual of Klebanov-Witten background and its Penrose limits

Abstract

In this paper we consider both Abelian as well as non-Abelian T-duals of the Klebanov-Witten background and inspect their various Penrose limits. We show that these backgrounds admit pp-wave solutions in the neighbourhood of appropriate null geodesics. We study the quantization of closed string propagating on some of the resulting pp-wave backgrounds. We consider the field theory duals for these geometries and compute the respective holographic central charges.

Analytic (non)integrability of Arutyunov-Bassi-Lacroix model

“…To begin with, we briefly review the holographic dual in type-IIA supergravity of the Plane Wave Matrix Model (PWMM) discussed in [40][41][42][43][44] The holographic dual in eleven dimensional M-theory background corresponds to the above system has been extensively studied in [41][42][43]. Upon dimensional reduction along one U (1) isometric direction results in a new class of ten dimensional type-IIA supergravity background that preserves 16 supercharges.…”

Penrose limits in massive type-IIA AdS$_3$ background

“…Non-Abelian T-dual backgrounds has been constructed for a large class of theories and their relevance in the gauge-gravity correspondence has been envisaged [13][14][15][16][17][18][19][20][21][22][23][24][25]. The Penrose limits for some of these dual geometries has been analysed [26][27][28][29]. It has been shown that a number of these geometries indeed admit pp-wave solutions upon taking the Penrose limit.…”

“…It has been shown that a number of these geometries indeed admit pp-wave solutions upon taking the Penrose limit. Of particular interest among these backgrounds are the non-Abelian duals of AdS 5 × S 5 background [26], the Klebanov-Witten background [27] and the Klebanov-Tseytlin background [28]. Some of these dual background admit pp-wave geometries even when the original geometry before dualization provide no such solution [28,30].…”

Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background

“…An appropriate SU(2) subrgoup of isometries of T 1,1 can be used to obtain the non-Abelian T-dual geometry [28]. These dual goemetries also give rise to pp-wave solutions upon considering the Penrose limits along appropriate null geodesics [32].…”