Spontaneously broken boosts in CFTs
Keyword(s):
Abstract 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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2009 ◽
Vol 24
(32)
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pp. 6197-6222
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2003 ◽
Vol 18
(25)
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pp. 4497-4591
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1990 ◽
Vol 05
(12)
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pp. 2343-2358
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2001 ◽
Vol 16
(12)
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pp. 2165-2173
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2000 ◽
Vol 15
(03)
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pp. 413-428
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1993 ◽
Vol 08
(23)
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pp. 4103-4121
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1997 ◽
Vol 12
(21)
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pp. 3723-3738
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