15 research outputs found
Integrable Wilson loops in ABJM: a -system computation of the cusp anomalous dimension
We study the integrability properties of Wilson loops in the
three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the
construction of an open spin chain that describes the anomalous dimensions of
operators inserted along the contour of a 1/2 BPS Wilson loop. Moreover, we
compute the all-loop reflection matrices that govern the interaction of
spin-chain excitations with the boundary, including their dressing factors, and
we check them against weak- and strong-coupling results. Furthermore, we
propose a -system of equations for the cusped Wilson line of ABJM, and we
use it to reproduce the one-loop cusp anomalous dimension of ABJM from a
leading-order finite-size correction. Finally, we write a set of BTBA equations
consistent with the -system proposal.Comment: 44 pages, 2 figures; v2: clarifications added and typos corrected.
Version to appear in JHE
Circular Wilson loops in defect conformal field theory
We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by k. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of λ/k2, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius R circular Wilson loop placed at a distance L, whose internal space orientation is given by an angle χ. We compute its vacuum expectation value and show that, in the double scaling limit and for small χ and small L/R, weak coupling results can be extrapolated to the strong coupling limit.Instituto de FĂsica La Plat
Circular Wilson loops in defect conformal field theory
We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by k. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of λ/k2, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius R circular Wilson loop placed at a distance L, whose internal space orientation is given by an angle χ. We compute its vacuum expectation value and show that, in the double scaling limit and for small χ and small L/R, weak coupling results can be extrapolated to the strong coupling limit.Instituto de FĂsica La Plat
Strings in bubbling geometries and dual wilson loop correlators
We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. We demonstrate, under some mild conditions, that the minimum value of the string classical action for a bubbling geometry of arbitrary genus precisely matches the correlator of a Wilson loop in the fundamental representation and one in a general large representation. We work out the case in which the large representation is given by a rectangular Young tableau, corresponding to a genus one bubbling geometry, explicitly. We also present explicit results in the field theory for a correlator of two Wilson loops: a large one in an arbitrary representation and a “small” one in the fundamental, totally symmetric or totally antisymmetric representation.Facultad de Ciencias Exacta
Strings in bubbling geometries and dual wilson loop correlators
We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. We demonstrate, under some mild conditions, that the minimum value of the string classical action for a bubbling geometry of arbitrary genus precisely matches the correlator of a Wilson loop in the fundamental representation and one in a general large representation. We work out the case in which the large representation is given by a rectangular Young tableau, corresponding to a genus one bubbling geometry, explicitly. We also present explicit results in the field theory for a correlator of two Wilson loops: a large one in an arbitrary representation and a “small” one in the fundamental, totally symmetric or totally antisymmetric representation.Facultad de Ciencias Exacta
Mixed boundary conditions in AdS/CFT from the coupling with a Kalb-Ramond field
The open string dual to a 1/6 BPS Wilson line in the super
Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that
the resulting boundary term imposes mixed boundary conditions on the fields
that describe the fluctuations on the world-sheet. These boundary conditions
fix a combination of the derivatives of the fluctuations, parallel and
transverse to the boundary. We holographically compute the correlation
functions of insertions on the Wilson line in terms of world-sheet Witten
diagrams. We observe that their functional dependence is consistent with the
conformal symmetry on the line.Comment: 23 pages, 11 figures; v2: references added. Version to appear in JHE
Mixed boundary conditions in AdS2/CFT1 from the coupling with a Kalb-Ramond field
Abstract The open string dual to a 1/6 BPS Wilson line in the N = 6 super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that describe the fluctuations on the world-sheet. These boundary conditions fix a combination of the derivatives of the fluctuations, parallel and transverse to the boundary. We holographically compute the correlation functions of insertions on the Wilson line in terms of world-sheet Witten diagrams. We observe that their functional dependence is consistent with the conformal symmetry on the line
Microstate counting of AdS 4 hyperbolic black hole entropy via the topologically twisted index
Abstract We compute the topologically twisted index for general N = 2 supersymmetric field theories on â„Ť 2 Ă— S 1 . We also discuss asymptotically AdS 4 magnetically charged black holes with hyperbolic horizon, in four-dimensional N = 2 gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for ABJ M theories