Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe equations which we conjecture. We also propose generalization of the TBA equations for excited states. The recently proposed Y-system is completely consistent with the TBA equations for a large subsector of the theory, but should be modified in general. We find the general asymptotic infinite length solution of the Y-system, and also several solutions to all wrapping orders in the strong coupling scaling limit. To make a comparison with results obtained from string theory, we assume that the all-loop Bethe ansatz of N.G. and P. Vieira is the valid worldsheet theory description in the asymptotic regime. In this case we find complete agreement, to all orders in wrappings, between the solution of our Y-system and generic quasi-classical string spectrum in AdS3 x S.Comment: references added + minor changes; published versio

Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling and arbitrary R-charge L of the local operator inserted on the cusp in a near-BPS limit. Our finding generalizes the previous results of one of the authors & Sever and passes several nontrivial tests. First, for a particular case L=0 we reproduce the predictions of localization techniques. Second, we show that in the classical limit our result perfectly reproduces the existing prediction from classical string theory. In addition, we made a comparison with all existing weak coupling results and we found that our result interpolates smoothly between these two very different regimes of AdS/CFT. As a byproduct we found a generalization of the essential parts of the FiNLIE construction for the gamma-deformed case and discuss our results in the framework of the novel ${\bf P}\mu$-formulation of the spectral problem.Comment: 39 pages, 4 figures; v2: minor corrections, references added; v3: typos fixed, references updated; v4: typos fixe

On the Exact Interpolating Function in ABJ Theory

Based on the recent indications of integrability in the planar ABJ model, we conjecture an exact expression for the interpolating function h(\lambda_1,\lambda_2) in this theory. Our conjecture is based on the observation that the integrability structure of the ABJM theory given by its Quantum Spectral Curve is very rigid and does not allow for a simple consistent modification. Under this assumption, we revised the previous comparison of localization results and exact all loop integrability calculations done for the ABJM theory by one of the authors and Grigory Sizov, fixing h(\lambda_1,\lambda_2). We checked our conjecture against various weak coupling expansions, at strong coupling and also demonstrated its invariance under the Seiberg-like duality. This match also gives further support to the integrability of the model. If our conjecture is correct, it extends all the available integrability results in the ABJM model to the ABJ model.Comment: 13 pages, 1 figur

Two destructive effects of decoherence on Bell inequality violation

We consider a system of two spin-1/2 particles, initially in an entangled Bell state. If one of the particles is interacting with an environment (e.g. a collection of N independent spins), the two-particle system undergoes decoherence. Using a simple model of decoherence, we show that this process has two consequences. First, the maximal amount by which the CHSH inequality is violated decays to zero. Second, the set of directions of measurement for which the inequality is violated is reduced in the course of decoherence. The volume of that set is bounded above by C|r|^2, where r is the decoherence factor. We obtain similar results for the case when each of the two particles is in interaction with a separate environment.Comment: v2: added results for decoherence due to interactions of both particles + minor changes; v3: minor change

NNLO BFKL Pomeron eigenvalue in N=4 SYM

We obtain an analytical expression for the Next-to-Next-to-Leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar SYM N=4 using Quantum Spectral Curve (QSC) integrability based method. The result is verified with more than 60 digits precision using the numerical method developed by us in a previous paper. As a byproduct we developed a general analytic method of solving the QSC perturbatively.Comment: 6 pages; v2: typos fixed, references and supplementary Mathematica files adde

Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit

We find a massive simplification in the non-perturbative expression for the structure constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral Curve quantities, namely Q-functions. Our calculation is done for the configuration of 3 cusps lying in the same plane with arbitrary angles in the ladders limit. This provides strong evidence that the Quantum Spectral Curve is not only a highly efficient tool for finding the anomalous dimensions but also encodes correlation functions with all wrapping corrections taken into account to all orders in the `t Hooft coupling. We also show how to study the insertions of scalars coupled to the Wilson lines and extend our results for the spectrum and the structure constants to this case. We discuss an OPE expansion of two cusps in terms of these states. Our results give additional support to the Separation of Variables strategy in solving the planar N=4 SYM theory.Comment: v1: 62 pages, lots of pictures; v2: section 9 expanded; v3: typos fixe

“The danger still hangs over my head” Fear of Recurrence among Israeli Breast Cancer Survivors

Introduction: Many breast cancer survivors report a fear of recurrence of the disease, which finds expression in anxieties that the original cancer will return or that another form of cancer will begin to develop. The present study evaluated perceptions of and feelings about the fear of recurrence from the point of view of breast cancer survivors, the impact of this fear on their lives, and their means of coping. Method: Qualitative research was conducted using the phenomenological approach. The sample included 13 breast cancer survivors aged 34-67 who were within 1 year after completion of chemotherapy. Participants included survivors who had been diagnosed with localized breast cancer, Stages I-III, without metastases, and without previous cancer diagnoses. Participants provided their personal details, while details of the disease and treatments were collected from the patients’ files. Results: Two main themes emerged: (1) Along with the desire to gradually return to normal life, the study participants described an ongoing sense of existential threat, a lack of security and a sense of being out of control when any follow-up tests or pain linked to potential cancer caused fear and anxiety and (2) their fears also concerned their family members as they were afraid their loved ones might get sick and go through the suffering they had experienced. Conclusions: The fear of cancer recurrence is a multidimensional phenomenon. This emotional response can arise as a result of physical symptoms causing suspicions that the disease has returned or as a result of external factors, such as follow-up tests or other people’s illnesses