Dynamical evolution in the D1D5 CFT

Guo, Bin; Mathur, Samir D.

doi:10.1007/jhep12(2022)107

Dynamical evolution in the D1D5 CFT

Journal Article · Mon Dec 19 00:00:00 EST 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2022)107· OSTI ID:2420140

Guo, Bin ^[1]; Mathur, Samir D. ^[2]

University Paris-Saclay, Gif-sur-Yvette (France); The Ohio State Univ., Columbus, OH (United States)
The Ohio State University, Columbus, OH (United States)

It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggesting that the energy gap should be 1/R_y where R_y is the radius of the circle on which the D1D5 CFT is compactified. For one class of states, the gravity dual indeed has exactly this gap, while for the other class, the gravity dual has a very deep throat, leading to an energy gap much smaller than 1/R_y. We resolve this puzzle by showing that for the latter class of states, perturbing the CFT off its free point leads to the formation of a band structure in the CFT. We also explain why such a band structure does not arise for the first class of states. Thus for the case where a deep throat emerges in the gravity description, the dynamics of falling down this throat is described in the CFT as a sequential ‘hopping’ between states all of which have the same energy at the free point; this hopping amplitude converts an integer spaced spectrum into a closely spaced band of energy levels.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State University, Columbus, OH (United States)

Sponsoring Organization:: European Research Council (ERC); USDOE Office of Science (SC)

Grant/Contract Number:: SC0011726

OSTI ID:: 2420140

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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