| 1. |
- Anderson, Louise, 1989, et al.
(författare)
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Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
- 2014
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 1409:9, s. Art. no. 021-20
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Tidskriftsartikel (refereegranskat)abstract
- When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is taken to infinity. In this limit, the theory exhibits a rich phase structure with an infinite number of third-order quantum phase transitions accumulating at strong coupling.
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| 2. |
- Babichenko, A., et al.
(författare)
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Integrability and the AdS(3)/CFT2 correspondence
- 2010
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :3, s. 058-
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Tidskriftsartikel (refereegranskat)abstract
- We investigate the AdS(3)/CFT2 correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3) x S-3 x M-4 where M-4 = T-4 or S-3 x S-1 using the coset approach. These actions are based on a Z(4) automorphism of the super-coset D(2, 1; alpha) x D(2, 1; alpha)/SO(1, 2) x SO(3) x SO(3). The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable. We present the finite gap equations for these actions. When alpha = 0, 1/2, 1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS(3)/CFT2 duals contain novel massless modes whose role remains to be explored.
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| 3. |
- Balatsky, Alexander, et al.
(författare)
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Classical and quantum temperature fluctuations via holography
- 2015
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :1
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Tidskriftsartikel (refereegranskat)abstract
- We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS spacetime. The fluctuation spectrum is governed by the lowest-lying hydrodynamic modes of the system whose frequency and damping rate determine whether temperature fluctuations are thermal or quantum. We calculate numerically the corresponding quasinormal frequencies and match the result with the hydrodynamics of the dual CFT at high temperature. As a by-product of our analysis we determine the appropriate boundary conditions for calculating low-lying quasinormal modes for a four-dimensional Reissner-Nordstrom black hole in global AdS.
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| 4. |
- Beisert, Niklas, et al.
(författare)
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Complete spectrum of long operators in N=4 SYM at one loop
- 2005
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; 0507, s. 030-
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Tidskriftsartikel (refereegranskat)abstract
- We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin limit of the full spectral curve of classical strings on AdS_5xS^5 derived in hep-th/0502226. To complete the comparison we introduce stacks, novel bound states of roots of different flavors which arise in the thermodynamic limit of the corresponding Bethe ansatz equations. We furthermore show the equivalence of various types of Bethe equations for the underlying su(2,2|4) superalgebra, in particular of the type "Beauty" and "Beast".
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| 5. |
- Beisert, Niklas, et al.
(författare)
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Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
- 2005
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Ingår i: Nuclear Physics B. - : Elsevier BV. - 0550-3213. ; 715, s. 190-210
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Tidskriftsartikel (refereegranskat)abstract
- We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.
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| 6. |
- Beisert, Niklas, et al.
(författare)
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One-loop QCD spin chain and its spectrum
- 2005
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Ingår i: Nuclear Physics B. - : Elsevier BV. - 0550-3213. ; 717:1-2, s. 137-189
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Tidskriftsartikel (refereegranskat)abstract
- We study the renormalization of gauge invariant operators in large Nc QCD. We compute the complete matrix of anomalous dimensions to leading order in the 't Hooft coupling and study its eigenvalues. Thinking of the mixing matrix as the Hamiltonian of a generalized spin chain we find a large integrable sector consisting of purely gluonic operators constructed with self-dual field strengths and an arbitrary number of derivatives. This sector contains the true ground state of the spin chain and all the gapless excitations above it. The ground state is essentially the anti-ferromagnetic ground state of a XXX1 spin chain and the excitations carry either a chiral spin quantum number with relativistic dispersion relation or an anti-chiral one with non-relativistic dispersion relation.
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| 7. |
- Beisert, Niklas, et al.
(författare)
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The Algebraic Curve of Classical Superstrings on AdS_5xS^5
- 2006
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 263, s. 659-710
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Tidskriftsartikel (refereegranskat)abstract
- We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS_5xS^5. For any solution of the equations of motion we derive a spectral curve of degree 4+4. The curve consists purely of conserved quantities, all gauge degrees of freedom have been eliminated in this form. The most relevant quantities of the solution, such as its energy, can be expressed through certain holomorphic integrals on the curve. This allows for a classification of finite gap solutions analogous to the general solution of strings in flat space. The role of fermions in the context of the algebraic curve is clarified. Finally, we derive a set of integral equations which reformulates the algebraic curve as a Riemann-Hilbert problem. They agree with the planar, one-loop N=4 supersymmetric gauge theory proving the complete agreement of spectra in this approximation.
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| 8. |
- Buchel, Alex, et al.
(författare)
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Rigorous test of non-conformal holography : Wilson loops in N=2(*) theory
- 2013
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :3
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Tidskriftsartikel (refereegranskat)abstract
- N - 2* gauge theory in four space-time dimensions arises as a deformation of the parent N = 4 supersymmetric Yang-Mills theory under which its hypermultiplet acquires a mass. This theory, on the one hand, has a known supergravity dual and on the other hand is amenable to localization. We explain, using localization, a dynamical selection of the supergravity Coulomb branch vacuum at large N. We also demonstrate that large Wilson loops obey perimeter law, again finding exact match between direct field-theory calculations and string theory. Additionally, we compute free energy at large 't Hooft coupling.
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| 9. |
- Buhl-Mortensen, Isak, et al.
(författare)
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One-point functions in AdS/dCFT from matrix product states
- 2016
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer. - 1126-6708 .- 1029-8479. ; :2
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Tidskriftsartikel (refereegranskat)abstract
- One-point functions of certain non-protected scalar operators in the defect CFT dual to the D3-D5 probe brane system with k units of world volume flux can be expressed as overlaps between Bethe eigenstates of the Heisenberg spin chain and a matrix product state. We present a closed expression of determinant form for these one-point functions, valid for any value of k. The determinant formula factorizes into the k = 2 result times a k-dependent pre-factor. Making use of the transfer matrix of the Heisenberg spin chain we recursively relate the matrix product state for higher even and odd k to the matrix product state for k = 2 and k = 3 respectively. We furthermore find evidence that the matrix product states for k = 2 and k = 3 are related via a ratio of Baxter's Q-operators. The general k formula has an interesting thermodynamical limit involving a non-trivial scaling of k, which indicates that the match between string and field theory one-point functions found for chiral primaries might be tested for non-protected operators as well. We revisit the string computation for chiral primaries and discuss how it can be extended to non-protected operators.
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| 10. |
- Bykov, D., et al.
(författare)
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Ladders for Wilson loops beyond leading order
- 2012
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :9, s. 057-
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Tidskriftsartikel (refereegranskat)abstract
- We set up a general scheme to resum ladder diagrams for the quark-anti-quark potential in N = 4 super-Yang-Mills theory, and do explicit calculations at the next-to-leading order. The results perfectly agree with string theory in AdS(5) x S-5 when continued to strong coupling, in spite of a potential order-of-limits problem.
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