Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges

Nguyen, Kévin

doi:10.1007/jhep05(2021)029

Cited by 13 publications

(27 citation statements)

References 39 publications

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“…Hence the resulting identity block can be computed through standard perturbative quantum field theory techniques in the regime where the central charge c is large and standard Feynman diagram techniques can be applied. In fact the result is similar to identical to expressions obtained in the past, notably [13][14][15][16][17]…”

Section: The Bilocal Vertex Transition Functionsupporting

confidence: 90%

Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Vos

2021

Preprint

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We revisit the construction of the 2d conformal blocks of primary operator fourpoint functions as bilocal vertex operator correlators. We find an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. As a consequence we bridge the gap between the Kähler quantization of virasoro coadjoint orbits, SL(2, R) Chern-Simons theory and the reparametrization formalism of 2d CFT that has made an appearance in recent literature.

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Section: The Bilocal Vertex Transition Functionsupporting

confidence: 90%

Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Vos

2021

Preprint

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“…To identify the conformal dimension ∆ and spin J of the operators O soft we note that the D z , D z derivatives on the round Bondi sphere turn into the ∂ z , ∂ z derivatives on the flat celestial sphere (which we have been using throughout this paper recalling that the reference direction is now (z, z)). 8 We thus see that the leading O soft descend from operators with ∆ = 1 while the sub-leading O soft descend from operators which have ∆ = 0. The dimensions of these descendants are summarized in table 2.…”

Section: Soft Operatorsmentioning

confidence: 74%

“…As within a wider 2D CFT context [6,8], the spontaneous breaking of Diff(S 2 ) to Virasoro is governed by an Alekseev-Shatashvili action [61].…”

Section: Jhep11(2021)143mentioning

confidence: 99%

“…The Kac-Moody symmetry associated to the leading soft theorem in gauge theory has been shown to arise from a Chern-Simons theory [5]. Meanwhile, the sub-leading soft graviton can be described by an Alekseev-Shatashvili action which governs the spontaneous breaking of Diff(S 2 ) to Virasoro superrotations [6][7][8], giving new insight into the extensions of the BMS group [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Revisiting the conformally soft sector with celestial diamonds

Pasterski¹,

Puhm

Trevisani

2021

J. High Energ. Phys.

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Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing at their left and right corners give rise to conformally soft factorization theorems, the bottom corners correspond to conserved charges, and the top corners to conformal dressings. We show that conformally soft charges can be expressed in terms of light ray integrals that select modes of the appropriate conformal weights. They reside at the bottom corners of memory diamonds, and ascend to generalized currents. We then identify the top corners of the associated Goldstone diamonds with conformal Faddeev-Kulish dressings and compute the sub-leading conformally soft dressings in gauge theory and gravity which are important for finding nontrivial central extensions. Finally, we combine these ingredients to speculate on 2D effective descriptions for the conformally soft sector of celestial CFT.

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“…Interestingly, this is the geometric action of a particle moving on the first exceptional coadjoint orbit of the Virasoro group [31]. In another paper [36], I have checked that this generating functional correctly reproduces the one-and two-point functions of the stress tensor on the cylinder, by expanding…”

Section: Jhep10(2021)218mentioning

confidence: 95%

Holographic boundary actions in AdS3/CFT2 revisited

Nguyen

2021

J. High Energ. Phys.

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The generating functional of stress tensor correlation functions in two-dimensional conformal field theory is the nonlocal Polyakov action, or equivalently, the Liouville or Alekseev-Shatashvili action. I review its holographic derivation within the AdS3/CFT2 correspondence, both in metric and Chern-Simons formulations. I also provide a detailed comparison with the well-known Hamiltonian reduction of three-dimensional gravity to a flat Liouville theory, and conclude that the two results are unrelated. In particular, the flat Liouville action is still off-shell with respect to bulk equations of motion, and simply vanishes in case the latter are imposed. The present study also suggests an interesting re-interpretation of the computation of black hole spectral statistics recently performed by Cotler and Jensen as that of an explicit averaging of the partition function over the boundary source geometry, thereby providing potential justification for its agreement with the predictions of a random matrix ensemble.

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Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges

Cited by 13 publications

References 39 publications

Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Revisiting the conformally soft sector with celestial diamonds

Holographic boundary actions in AdS3/CFT2 revisited

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