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  • 1. Buchel, Alex
    et al.
    Russo, Jorge G.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden; ITEP, Russia.
    Rigorous test of non-conformal holography: Wilson loops in N=2(*) theory2013In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 062Article in journal (Refereed)
    Abstract [en]

    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.

  • 2. Buhl-Mortensen, Isak
    et al.
    de Leeuw, Marius
    Kristjansen, Charlotte
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University,, Sweden.
    One-point functions in AdS/dCFT from matrix product states2016In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 052Article in journal (Refereed)
    Abstract [en]

    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.

  • 3.
    Cagnazzo, Alessandra
    et al.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Oslo, Norway.
    Medina-Rincon, Daniel
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Oslo, Norway; ITEP, Russia.
    String corrections to circular Wilson loop and anomalies2018In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 120Article in journal (Refereed)
    Abstract [en]

    We study string quantum corrections to the ratio of latitude and circular Wilson loops in N = 4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5) x S-5 is singular and we show that an IR anomaly associated with the divergence in the conformal factor removes previously reported discrepancy with the exact field -theory result. We also carefully check conformal anomaly cancellation and recalculate fluctuation determinants by directly evaluting phaseshifts for all the fluctuation modes.

  • 4.
    Chen-Lin, Xinyi
    et al.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Dekel, Amit
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Holographic Wilson loops in symmetric representations in N=2*super-Yang-Mills theory2016In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 109Article in journal (Refereed)
    Abstract [en]

    We construct the D3-brane solution in the holographic dual of the N = 2* theory that describes Wilson lines in symmetric representations of the gauge group. The results perfectly agree with the direct field-theory predictions based on localization.

  • 5. Correa, Diego
    et al.
    Pisani, Pablo
    Rios Fukelman, Alan
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden; Trinity College Dublin, Ireland; ITEP, Russia.
    Dyson equations for correlators of Wilson loops2018In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 100Article in journal (Refereed)
    Abstract [en]

    By considering a Gaussian truncation of N = 4 super Yang-Mills, we derive a set of Dyson equations that account for the ladder diagram contribution to connected correlators of circular Wilson loops. We consider different numbers of loops, with different relative orientations. We show that the Dyson equations admit a spectral representation in terms of eigenfunctions of a Schrodinger problem, whose classical limit describes the strong coupling limit of the ladder resummation. We also verify that in supersymmetric cases the exact solution to the Dyson equations reproduces known matrix model results.

  • 6. de Leeuw, Marius
    et al.
    Kristjansen, Charlotte
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    One-point functions in defect CFT and integrability2015In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, article id 098Article in journal (Refereed)
    Abstract [en]

    We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in the operator basis of Bethe eigenstates of the Heisenberg XXX1/2 spin chain we express the one-point functions as overlaps of these eigenstates with a matrix product state. For k = 2 we obtain a closed expression of determinant form for any number of excitations, and in the case of half-filling we find a relation with the Neel state. In addition, we present a number of results for the limiting case k -> infinity.

  • 7. Foda, O.
    et al.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Overlaps of partial Neel states and Bethe states2016In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, article id 023107Article in journal (Refereed)
    Abstract [en]

    Partial Neel states are generalizations of the ordinary Neel (classical anti-ferromagnet) state that can have arbitrary integer spin. We study overlaps of these states with Bethe states. We first identify this overlap with a partial version of reflecting-boundary domain-wall partition function, and then derive various determinant representations for off-shell and on-shell Bethe states.

  • 8.
    Guica, Monica
    et al.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). CEA Saclay, France; Uppsala University, Sweden.
    Levkovich Maslyuk, Fedor
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Integrability in dipole-deformed N=4 super Yang-Mills2017In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 39, article id 394001Article in journal (Refereed)
    Abstract [en]

    We study the null dipole deformation of N = 4 super Yang-Mills theory, which is an example of a potentially solvable 'dipole CFT': a theory that is non-local along a null direction, has non-relativistic conformal invariance along the remaining ones, and is holographically dual to a Schrodinger space-time. We initiate the field-theoretical study of the spectrum in this model by using integrability inherited from the parent theory. The dipole deformation corresponds to a nondiagonal Drinfeld-Reshetikhin twist in the spin chain picture, which renders the traditional Bethe ansatz inapplicable from the very beginning. We use instead the Baxter equation supplemented with nontrivial asymptotics, which gives the full 1-loop spectrum in the sl(2) sector. We show that anomalous dimensions of long gauge theory operators perfectly match the string theory prediction, providing a quantitative test of Schrodinger holography.

  • 9.
    Medina-Rincon, Daniel
    et al.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Tseytlin, Arkady A.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden; Trinity College, Ireland; ITEP, Russia.
    Precision matching of circular Wilson loops and strings in AdS(5) x S-52018In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, article id 199Article in journal (Refereed)
    Abstract [en]

    Previous attempts to match the exact N = 4 super Yang-Mills expression for the expectation value of the 1/2-BPS circular Wilson loop with the semiclassical AdS(5) x S-5 string theory prediction were not successful at the first subleading order. There was a missing prefactor similar to lambda(-3/4) which could be attributed to the unknown normalization of the string path integral measure. Here we resolve this problem by computing the ratio of the string partition functions corresponding to the circular Wilson loop and the special 1/4-supersymmetric latitude Wilson loop. The fact that the latter has a trivial expectation value in the gauge theory allows us to relate the prefactor to the contribution of the three zero modes of the transverse fluctuation operator in the 5-sphere directions.

  • 10. Russo, Jorge G.
    et al.
    Widén, Erik
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    N=2 phase transitions and holography2019In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 196Article in journal (Refereed)
    Abstract [en]

    We clarify the relationship between probe analysis of the supergravity dual and the large-N solution of the localization matrix model for the planar N=2 super-Yang-Mills theory. A formalism inspired by supergravity allows us to systematically solve the matrix model at strong coupling. Quite surprisingly, we find that quantum phase transitions, known to occur in the N=2 theory, start to be visible at the third order of the strong-coupling expansion and thus constitute a perturbative phenomenon on the string worldsheet.

  • 11. Russo, Jorge G.
    et al.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Wilson Loops in Antisymmetric Representations from Localization in Supersymmetric Gauge Theories2018In: Reviews in Mathematical Physics, ISSN 0129-055X, Vol. 30, no 7, article id 1840014Article, review/survey (Refereed)
    Abstract [en]

    Large-N phase transitions occurring in massive N = 2 theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and exhibits second-order phase transitions (discontinuities in the second derivatives) as the size of representation varies. We illustrate the general features of antisymmetric Wilson loops on a number of examples where the phase transitions are known to occur: N = 2 SQCD with various mass arrangements and N = 2* theory. As a byproduct, we solve planar N = 2 SQCD with three independent mass parameters. This model has two effective mass scales and undergoes two phase transitions.

  • 12.
    Shapiro, Boris
    et al.
    Stockholm University, Faculty of Science, Department of Mathematics.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Level crossing in random matrices: I. Random perturbation of a fixed matrix2017In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 4, article id 045201Article in journal (Refereed)
    Abstract [en]

    We consider level crossing in a matrix family H = H-0 + lambda V where H-0 is a fixed N x N matrix and V belongs to one of the standard Gaussian random matrix ensembles. We study the probability distribution of level crossing points in the complex plane of lambda, for which we obtain a number of exact, asymptotic and approximate formulas.

  • 13.
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Localization and AdS/CFT correspondence2017In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 44, article id 443011Article, review/survey (Refereed)
    Abstract [en]

    An interplay between localization and holography is reviewed with the emphasis on the AdS5/CFT4 correspondence.

  • 14.
    Zarembo, Konstantin L.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden; Institute for Theoretical and Experimental Physics, Russia.
    Strong-coupling phases of planar N=2* super-Yang-Mills theory2014In: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 181, no 3, p. 1522-1530Article in journal (Refereed)
    Abstract [en]

    The N=2* theory (mass deformation of the N=4 super-Yang-Mills theory) undergoes an infinite number of quantum phase transitions in the large-N limit. The phase structure and critical behavior can be analyzed using supersymmetric localization, which reduces the problem to an effective matrix model. We study this model in the strong-coupling phase.

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