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Nongeometric states in a holographic conformal field theory
https://repo.scoap3.org/record/32635
In the AdS3/CFT2 correspondence, we find some conformal field theory (CFT) states that have no bulk description by the Bañados geometry. We elaborate the constraints for a CFT state to be geometric, i.e., having a dual Bañados metric, by comparing the order of central charge of the entanglement/Rényi entropy obtained respectively from the holographic method and the replica trick in CFT. We find that the geometric CFT states fulfill Bohr’s correspondence principle by reducing the quantum Korteweg-de Vries hierarchy to its classical counterpart. We call the CFT states that satisfy the geometric constraints geometric states, and otherwise, we call them nongeometric states. We give examples of both the geometric and nongeometric states, with the latter case including the superposition states and descendant states.Guo, Wu-zhongTue, 07 May 2019 20:16:46 GMThttps://repo.scoap3.org/record/32635urn:ISSN:2470-0029APS2019-05-07Subsystem Trace Distance in Quantum Field Theory
https://repo.scoap3.org/record/32185
We develop a systematic method to calculate the trace distance between two reduced density matrices in 1+1 dimensional quantum field theories. The approach exploits the path integral representation of the reduced density matrices and an ad hoc replica trick. We then extensively apply this method to the calculation of the distance between reduced density matrices of one interval of length ℓ in eigenstates of conformal field theories. When the interval is short, using the operator product expansion of twist operators, we obtain a universal form for the leading order in ℓ of the trace distance. We compute the trace distances among the reduced density matrices of several low lying states in two-dimensional free massless boson and fermion theories. We compare our analytic conformal results with numerical calculations in XX and Ising spin chains finding perfect agreement.Zhang, JiajuWed, 10 Apr 2019 00:17:57 GMThttps://repo.scoap3.org/record/32185urn:ISSN:1079-7114APS2019-04-09Note on ETH of descendant states in 2D CFT
https://repo.scoap3.org/record/30415
We investigate the eigenstate thermalization hypothesis (ETH) of highly excited descendant states in two-dimensional large central charge c conformal field theory. We use operator product expansion of twist operators to calculate the short interval expansions of entanglement entropy and relative entropy for an interval of length ℓ up to order ℓ 12 . Using these results to ensure ETH of a heavy state when compared with the canonical ensemble state up to various orders of c , we get the constraints on the expectation values of the first few quasiprimary operators in the vacuum conformal family at the corresponding order of c . Similarly, we also obtain the constraints from the expectation values of the first few Korteweg-de Vries charges. We check these constraints for some types of special descendant excited states. Among the descendant states we consider, we find that at most only the leading order ones of the ETH constraints can be satisfied for the descendant states that are slightly excited on top of a heavy primary state. Otherwise, the ETH constraints are violated for the descendant states that are heavily excited on top of a primary state.Guo, Wu-zhongSat, 19 Jan 2019 04:45:54 GMThttps://repo.scoap3.org/record/30415urn:ISSN:1029-8479Springer/SISSA2019-01-17Distinguishing Black Hole Microstates using Holevo Information
https://repo.scoap3.org/record/30008
We use Holevo information in the two-dimensional conformal field theory (CFT) with a large central charge c to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual to black hole microstate geometries in anti–de Sitter space. It was found recently that holographic Holevo information shows plateau behaviors at both short and long interval regions. This indicates that the black hole microstates are indistinguishable from the thermal state by measuring over a small region, and perfectly distinguishable over a region with its size comparable to the whole system. In this Letter, we demonstrate that the plateaus are lifted by including the 1/c corrections from both the vacuum and nonvacuum conformal families of CFT in either the canonical ensemble or microcanonical ensemble thermal state. Our results imply that the aforementioned indistinguishability and distinguishability of black hole microstate geometries from the underlying black hole are spoiled by higher order Newton constant GN corrections of quantum gravity.Guo, Wu-zhongFri, 21 Dec 2018 16:09:00 GMThttps://repo.scoap3.org/record/30008urn:ISSN:1079-7114APS2018-12-21BPS Wilson loops in N $$ \mathcal{N} $$ ≥ 2 superconformal Chern-Simons-matter theories
https://repo.scoap3.org/record/29357
In N $$ \mathcal{N} $$ ≥ 2 superconformal Chern-Simons-matter theories we construct the infinite family of Bogomol’nyi-Prasad-Sommerfield (BPS) Wilson loops featured by constant parametric couplings to scalar and fermion matter, including both line Wilson loops in Minkowski spacetime and circle Wilson loops in Euclidean space. We find that the connection of the most general BPS Wilson loop cannot be decomposed in terms of double-node connections. Moreover, if the quiver contains triangles, it cannot be interpreted as a super-matrix inside a superalgebra. However, for particular choices of the parameters it reduces to the well-known connections of 1/6 BPS Wilson loops in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory and 1/4 BPS Wilson loops in N $$ \mathcal{N} $$ = 4 orbifold ABJM theory. In the particular case of N $$ \mathcal{N} $$ = 2 orbifold ABJM theory we identify the gravity duals of a subset of operators. We investigate the cohomological equivalence of fermionic and bosonic BPS Wilson loops at quantum level by studying their expectation values, and find strong evidence that the cohomological equivalence holds quantum mechanically, at framing one. Finally, we discuss a stronger formulation of the cohomological equivalence, which implies non-trivial identities for correlation functions of composite operators in the defect CFT defined on the Wilson contour and allows to make novel predictions on the corresponding unknown integrals that call for a confirmation.Mauri, AndreaFri, 23 Nov 2018 10:03:03 GMThttps://repo.scoap3.org/record/29357urn:ISSN:1029-8479Springer/SISSA2018-11-22