TY - JOUR

T1 - Penrose limits and RG flows

AU - Gimon, Eric

AU - Zayas, Leopoldo A.Pando

AU - Sonnenschein, Jacob

PY - 2002/9/1

Y1 - 2002/9/1

N2 - The Penrose-Güven limit simplifies a given supergravity solution into a pp-wave background. Aiming at clarifying its relation to renormalization group flow we study the Penrose-Güven limit of supergravity backgrounds that are dual to non-conformal gauge theories. The resulting backgrounds fall in a class simple enough that the quantum particle is exactly solvable. We propose a map between the effective time-dependent quantum mechanical problem and the RG flow in the gauge theory. As a testing ground we consider explicitly two Penrose limits of the infrared fixed point of the Pilch-Warner solution. We analyze the corresponding gauge theory picture and write down the operators which are the duals of the low lying string states. We also address RG flows of a different nature by considering the Penrose-Güven limit of a stack of N D p-branes. We note that in the far IR (for p < 3)the limit generically has negative mass2. This phenomenon signals, in the world sheet picture, the necessity to transform to another description. In this regard, we consider explicitly the cases of M2 from D2 and F1 from D1.

AB - The Penrose-Güven limit simplifies a given supergravity solution into a pp-wave background. Aiming at clarifying its relation to renormalization group flow we study the Penrose-Güven limit of supergravity backgrounds that are dual to non-conformal gauge theories. The resulting backgrounds fall in a class simple enough that the quantum particle is exactly solvable. We propose a map between the effective time-dependent quantum mechanical problem and the RG flow in the gauge theory. As a testing ground we consider explicitly two Penrose limits of the infrared fixed point of the Pilch-Warner solution. We analyze the corresponding gauge theory picture and write down the operators which are the duals of the low lying string states. We also address RG flows of a different nature by considering the Penrose-Güven limit of a stack of N D p-branes. We note that in the far IR (for p < 3)the limit generically has negative mass2. This phenomenon signals, in the world sheet picture, the necessity to transform to another description. In this regard, we consider explicitly the cases of M2 from D2 and F1 from D1.

KW - AdS/CFT and dS/CFT Correspondence

KW - Penrose limit and pp-wave background

UR - http://www.scopus.com/inward/record.url?scp=23044459041&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2002/09/044

DO - 10.1088/1126-6708/2002/09/044

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AN - SCOPUS:23044459041

SN - 1029-8479

VL - 6

SP - 897

EP - 931

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

ER -