Shape Dynamics of the TT¯ Deformation
Keyword(s):
I will show how the flow triggered by deforming two-dimensional conformal field theories on a torus by the TT¯ operator is identical to the evolution generated by the (radial) quantum Shape Hamiltonian in 2 + 1 dimensions. I will discuss how the gauge invariances of the Shape Dynamics, i.e., volume-preserving conformal invariance and diffeomorphism invariance along slices of constant radius are realized as Ward identities of the deformed quantum field theory. I will also comment about the relationship between the reduction to shape space on the gravity side and the solvability of the irrelevant operator deformation of the conformal field theory
2005 ◽
Vol 14
(01)
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pp. 21-90
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Keyword(s):
2003 ◽
Vol 18
(12)
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pp. 2011-2022
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Keyword(s):
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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2016 ◽
Vol 25
(12)
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pp. 1643005
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2001 ◽
Vol 16
(12)
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pp. 2165-2173
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Keyword(s):
1995 ◽
Vol 10
(06)
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pp. 875-894
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