Developing local RG: quantum RG and BFSS

• Main Authors: João F. Melo, Jorge E. Santos
• Format: Article
• Language: English
• Published: SpringerOpen 2020-05-01
• Series: Journal of High Energy Physics
• Subjects: Gauge-gravity correspondence; Renormalization Group; M(atrix) Theories; Supersymmetry Breaking
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2020)063

Abstract In this paper we study various forms of RG and apply these to the BFSS model of N coincident D0-branes. Firstly, as a warm-up, we perform standard Wilsonian RG, investigating the conditions under which supersymmetry is preserved along the flow. Next, we develop a local RG scheme such that the cutoff is spacetime dependent, which could have further applications to studying QFT in curved spacetime. Finally, we test the conjecture put forward in [1] that the method of quantum RG could be the mechanism responsible for the gauge/gravity duality by applying it to the BFSS model, which has a known gravitational dual. Although not entirely conclusive some questions are raised about the applicability of quantum RG as a description of the AdS/CFT correspondence.