Spontaneously broken boosts in CFTs

Komargodski, Zohar; Mezei, Márk; Pal, Sridip; Raviv-Moshe, Avia

doi:10.1007/jhep09(2021)064

Title: Spontaneously broken boosts in CFTs

Journal Article · 10 September 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2021)064 · OSTI ID:1839900

Komargodski, Zohar ^[1];

^[2];

^[3]; Raviv-Moshe, Avia ^[2]

SUNY, Stony Brook, NY (United States); Institute for Advanced Study
SUNY, Stony Brook, NY (United States)
Institute for Advanced Study, Princeton, NJ (United States)

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of new low-lying primaries whose scaling dimension gap, we argue, scales as O(1). We demonstrate these ideas in various states, including fluid, superfluid, mean field theory, and Fermi surface states. We end with some remarks about the large charge limit in 2d and discuss a theory of a single compact boson with an arbitrary conformal anomaly.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1839900

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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