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Holographic Construction of Excited CFT States

Feb 5, 2016

26 pages

Published in:

JHEP 04 (2016) 096

Published: Apr 15, 2016

e-Print:

1602.02039 [hep-th]

DOI:

10.1007/JHEP04(2016)096

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Abstract: (Springer)

We present a systematic construction of bulk solutions that are dual to CFT excited states. The bulk solution is constructed perturbatively in bulk fields. The linearised solution is universal and depends only on the conformal dimension of the primary operator that is associated with the state via the operator-state correspondence, while higher order terms depend on detailed properties of the operator, such as its OPE with itself and generally involve many bulk fields. We illustrate the discussion with the holographic construction of the universal part of the solution for states of two dimensional CFTs, either on R × S

^{1}

or on R

^{1,1}

. We compute the 1-point function both in the CFT and in the bulk, finding exact agreement. We comment on the relation with other reconstruction approaches.

Note:

26 pages, 4 figures, v2: comments added

AdS-CFT Correspondence
Gauge-gravity correspondence
field theory: conformal
dimension: conformal
operator: primary
operator product expansion
excited state
higher-order
duality: holography
n-point function: 1

References(31)

Figures(0)

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