New mechanism for nonlocality from string theory: UV-IR quantum entanglement and its imprints on the CMB

Abstract

New mechanism for nonlocality from string theory: UV-IR quantum entanglement and its imprints on the CMB." Phys. Rev. D 77, 026008 (2008).New mechanism for nonlocality from string theory: UV-IR quantum entanglement and its imprints on the CMB Puff field theories (PFT) arise as the decoupling limits of D3 branes in a Melvin universe and exhibit spatially nonlocal dynamics. Unlike other realizations of nonlocality in string theory, PFTs have full SO 3 rotational symmetry. In this work, we analyze the strongly coupled regime of a PFT through gravitational holography. We find a novel mechanism at the heart of the phenomenon of nonlocality: a quantum entanglement of UV and IR dynamics. In the holographic bulk, this translates to an apparent horizon splitting the space into two regions-with the UV completion of the PFT sitting at the horizon. We unravel this intricate UV-IR setting and devise a prescription for computing correlators that extends the original dictionary of holographic renormalization group. We then implement a cosmological scenario where PFT correlators set the initial conditions for primordial fluctuations. We compute the associated power spectrum of the cosmic microwave background and find that the scenario allows for a distinct stringy signature.

D3 branes in a Melvin universe: A new realm for gravitational holography

“…To this date, relatively little is understood about PFT. In a recent work [18], a particular realization of a PFT was explored at strong coupling -through the holographic dual description -leading to a myriad of perplexing observations. The system seems to admit a very unusual holographic setup, one that necessitates going beyond the standard dictionary employed, for example, in the AdS/CFT context [19,20,21].…”

“…The system seems to admit a very unusual holographic setup, one that necessitates going beyond the standard dictionary employed, for example, in the AdS/CFT context [19,20,21]. [18] focused on cosmological implications of the results. In this work, we focus on the PFT itself, and unravel a surprisingly rich and beautiful holographic dictionary.…”

“…However, such systems are phenomenologically more interesting. As shown in [18], PFT's may be used to compute non-local effects in the Cosmic Microwave Background radiation arising from stringy dynamics in the primordial plasma. Less SUSY, or even the possibility of a dynamical cascade through various SUSY realizations of the PFT, can play an important role in this program.…”

“…At the same time, we need the probe to be light enough not to back-react on the geometry. These conditions were analyzed in detail in [18] and, for a probe of mass m, lead to…”

“…For simplicity, we consider all L i 's but L 3 vanishing. The limit L 3 → 0 was studied in detail in [18]. For all values of L 3 , we have non-zero Q 4 R-charge as long as operators are inserted at the ψ = 0 plane.…”