scholarly journals Conformal perturbation theory and higher spin entanglement entropy on the torus

2015 ◽  
Vol 2015 (4) ◽  
Author(s):  
Shouvik Datta ◽  
Justin R. David ◽  
S. Prem Kumar
Keyword(s):  
Perturbation Theory ◽  
Entanglement Entropy ◽  
Higher Spin

scholarly journals Chern-Simons gravity dual of BCFT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Tadashi Takayanagi ◽  
Takahiro Uetoko
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Entanglement Entropy ◽  
Einstein Gravity ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
The World ◽  
Higher Spin ◽  
End Of The World ◽  
Chern Simons

Abstract In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the world brane in the Chern-Simons gauge theory. This reproduces known results of the AdS/BCFT for the Einstein gravity. We also give a prescription of calculating holographic entanglement entropy by employing Wilson lines which extend from the AdS boundary to the end of the world brane. We also discuss a higher spin extension of our formulation.

scholarly journals Universal correction to higher spin entanglement entropy

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Shouvik Datta ◽  
Justin R. David ◽  
Michael Ferlaino ◽  
S. Prem Kumar
Keyword(s):  
Entanglement Entropy ◽  
Higher Spin

scholarly journals ℳcTEQ (ℳ chiral perturbation theory-compatible deconfinement Temperature and Entanglement Entropy up to terms Quartic in curvature) and FM (Flavor Memory)

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Gopal Yadav ◽  
Vikas Yadav ◽  
Aalok Misra
Keyword(s):  
Perturbation Theory ◽  
Linear Combination ◽  
Entanglement Entropy ◽  
Linear Constraint ◽  
Coupling Constant ◽  
Chiral Perturbation ◽  
Top Down ◽  
Intermediate Coupling ◽  
Four Dimensions ◽  
Hilbert Action

Abstract A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) ℳ-theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we demonstrate a novel UV-IR connection, (conjecture and provide evidence for) a non-renormalization beyond one loop of ℳ-chiral perturbation theory [1]-compatible deconfinement Temperature, and show equivalence with an Entanglement (as well as Wald) entropy [2] computation, up to terms Quartic in curvature (R). We demonstrate a Flavor-Memory (FM) effect in the ℳ-theory uplifts of the gravity duals, wherein the no-braner ℳ-theory uplift retains the “memory” of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part (given by S3 as an S1-fibration over the vanishing two-cycle S2) of the non-compact four-cycle “wrapped” by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O(R4). The aforementioned linear combination of 𝒪(R4) corrections to the ℳ-theory uplift [3, 4] metric, upon matching the holographic result from ℳχPT [1] with the phenomenological value of the coupling constant of one of the SU(3) NLO χPT Lagrangian of [5], is required to have a definite sign. Interestingly, in the decompactification (or “MKK → 0”) limit of the spatial circle in [1] to recover a QCD-like theory in four dimensions after integrating out the compact directions, we not only derive this, but in fact obtain the values of the relevant 𝒪(R4) metric corrections. Further, equivalence with Wald entropy for the black hole in the high-temperature ℳ-theory dual at 𝒪(R4) imposes a linear constraint on a similar linear combination of the abovementioned metric corrections. Remarkably, when evaluating the deconfinement temperature from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancellation between the contributions arising from the metric corrections at 𝒪(R4) in the ℳ theory uplift along the S1-fiber and an S2 (which too involves a similar S1-fibration) resulting in a non-zero contribution only along the vanishing S2 surviving, one sees that there are consequently no corrections to Tc at quartic order in the curvature supporting the conjecture made on the basis of a semiclassical computation.

scholarly journals On the UV completion of the O(N) model in 6 − ϵ dimensions: a stable large-charge sector

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
G. Arias-Tamargo ◽  
D. Rodriguez-Gomez ◽  
J. G. Russo
Keyword(s):  
Fixed Point ◽  
Perturbation Theory ◽  
Correlation Function ◽  
Scaling Limit ◽  
Stable Fixed Point ◽  
Higher Spin ◽  
Point Correlation ◽  
Charge Sector ◽  
Double Scaling Limit ◽  
Large Charge

Abstract We study large charge sectors in the O(N) model in 6 − ϵ dimensions. For 4 < d < 6, in perturbation theory, the quartic O(N) theory has a UV stable fixed point at large N . It was recently argued that this fixed point can be described in terms of an IR fixed point of a cubic O(N) model. By considering a double scaling limit of large charge and weak couplings, we compute two-point and all “extremal” higher-point correlation functions for large charge operators and find a precise equivalence between both pictures. Instanton instabilities are found to be exponentially suppressed at large charge. We also consider correlation function of U(1)-invariant meson operators in the O(2N) ⊃ U(1) × SU(N) theory, as a first step towards tests of (higher spin) AdS/CFT.

scholarly journals Higher spin entanglement entropy from CFT

2014 ◽  
Vol 2014 (6) ◽  
Author(s):  
Shouvik Datta ◽  
Justin R. David ◽  
Michael Ferlaino ◽  
S. Prem Kumar
Keyword(s):  
Entanglement Entropy ◽  
Higher Spin

Perturbation theory of higher-spin conserved currents off criticality

1990 ◽  
Vol 340 (2-3) ◽  
pp. 659-691 ◽  
Author(s):  
Andrea Cappelli ◽  
JoséI. Latorre
Keyword(s):  
Perturbation Theory ◽  
Higher Spin ◽  
Conserved Currents
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