Phases of $ \mathcal{N} $ = 2 Sachdev-Ye-Kitaev models

Heydeman, M.; Turiaci, G. J.; Zhao, W.

doi:10.1007/jhep01(2023)098

Title: Phases of $$ \mathcal{N} $$ = 2 Sachdev-Ye-Kitaev models

Journal Article · Wed Jan 18 00:00:00 EST 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2023)098· OSTI ID:1997390

Heydeman, M. ^[1];

^[2]; Zhao, W. ^[3]

Institute for Advanced Study, Princeton, NJ (United States); Princeton University, NJ (United States)
Institute for Advanced Study, Princeton, NJ (United States)
Princeton University, NJ (United States)

We study N = 2 supersymmetric Sachdev-Ye-Kitaev (SYK) models with com- plex fermions at non-zero background charge. Motivated by multi-charge supersymmetric black holes, we propose a new N = 2 SYK model with multiple U(1) symmetries, integer charges, and a non-vanishing supersymmetric index, realizing features not present in known SYK models. In both models, a conformal solution with a super-Schwarzian mode emerges at low temperatures, signaling the appearance of nearly AdS2/BPS physics. However, in contrast to complex SYK, the fermion scaling dimension depends on the background charge in the conformal limit. For a critical charge, we find a high to low entropy phase transition in which the conformal solution ceases to be valid. This transition has a simple interpretation– the fermion scaling dimension violates the unitarity bound. We offer some comments on a holographic interpretation for supersymmetric black holes.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: SC0009988; PHY-1911298; PHY-1620059; PHY-1914860

OSTI ID:: 1997390

Alternate ID(s):: OSTI ID: 2222868; OSTI ID: 2222871

Journal Information:: Journal of High Energy Physics (Online), Vol. 2023, Issue 1; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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