| 1. |
- Drukker, Nadav, et al.
(author)
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Roadmap on Wilson loops in 3d Chern-Simons-matter theories
- 2020
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In: Journal of Physics A. - : Institute of Physics Publishing (IOPP). - 1751-8113 .- 1751-8121. ; 53:17
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Research review (peer-reviewed)abstract
- This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic.
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| 2. |
- Griguolo, Luca, et al.
(author)
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Exact T¯T Deformation of Two-Dimensional Maxwell Theory
- 2022
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In: Physical Review Letters. - : American Physical Society. - 0031-9007 .- 1079-7114. ; 128:22
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Journal article (peer-reviewed)abstract
- We study the partition function of T¯T-deformed two-dimensional Maxwell theory by solving the relevant flow equation at the level of individual flux sectors. Summing exactly the “instanton” series, we obtain a well-defined expression for the partition function at arbitrary μ. For μ>0, the spectrum of the theory experiences a truncation and the theory undergoes infinite-order quantum phase transitions associated with the vanishing of Polyakov-loop correlators. For μ<0, the appearance of nonperturbative contributions in μ drastically modifies the structure of the partition function.
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| 3. |
- Griguolo, Luca, et al.
(author)
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Exact T(T)over-bar deformation of two-dimensional Yang-Mills theory on the sphere
- 2022
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In: Journal of High Energy Physics (JHEP). - : Springer. - 1126-6708 .- 1029-8479. ; :10
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Journal article (peer-reviewed)abstract
- We study the T (T) over bar deformation of two-dimensional Yang-Mills theory at genus zero by carrying out the analysis at the level of its instanton representation. We first focus on the perturbative sector by considering its power expansion in the deformation parameter mu. By studying the resulting asymptotic series through resurgence theory, we determine the nonperturbative contributions that enter the result for mu < 0. We then extend this analysis to any flux sector by solving the relevant flow equation. Specifically, we impose boundary conditions corresponding to two distinct regimes: the quantum undeformed theory and the semiclassical limit of the deformed theory. The full partition function is obtained as a sum over all magnetic fluxes. For any mu > 0, only a finite portion of the quantum spectrum survives and the partition function reduces to a sum over a finite set of representations. For mu < 0, nonperturbative contributions regularize the partition function through an intriguing mechanism that generates nontrivial subtractions.
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| 4. |
- Griguolo, Luca, et al.
(author)
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Nonperturbative effects and resurgence in Jackiw-Teitelboim gravity at finite cutoff
- 2022
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In: Physical Review D. - : American Physical Society. - 2470-0010 .- 2470-0029. ; 105:4
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Journal article (peer-reviewed)abstract
- We investigate the nonperturbative structure of Jackiw-Teitelboim gravity at finite cutoff, as given by its proposed formulation in terms of a T (T) over bar -deformed Schwarzian quantum mechanics. Our starting point is a careful computation of the disk partition function to all orders in the perturbative expansion in the cutoff parameter. We show that the perturbative series is asymptotic and that it admits a precise completion exploiting the analytical properties of its Borel transform, as prescribed by resurgence theory. The final result is then naturally interpreted in terms of the nonperturbative branch of the T (T) over bar -deformed spectrum. The finite-cutoff trumpet partition function is computed by applying the same strategy. In the second part of the paper, we propose an extension of this formalism to arbitrary topologies, using the basic gluing rules of the undeformed case. The Weil-Petersson integrations can be safely performed due to the nonperturbative corrections and give results that are compatible with the flow equation associated with the T (T) over bar deformation. We derive exact expressions for general topologies and show that these are captured by a suitable deformation of the Eynard-Orantin topological recursion. Finally, we study the "slope" and "ramp" regimes of the spectral form factor as functions of the cutoff parameter.
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| 5. |
- Griguolo, Luca, et al.
(author)
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The phase diagram of T(T)over-bar-deformed Yang-Mills theory on the sphere
- 2022
-
In: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :11
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Journal article (peer-reviewed)abstract
- We study the large-N dynamics of T (T) over bar -deformed two-dimensional Yang-Mills theory at genus zero. The 1/N-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the theory is derived for both signs of the rescaled deformation parameter tau. We observe a third-order phase transition driven by instanton condensation, which is the deformed version of the familiar DouglasKazakov transition separating the weakly-coupled from the strongly-coupled phase. By studying these phases, we compute the deformation of both the perturbative sector and the Gross-Taylor string expansion. Nonperturbative corrections in tau drive the system into an unexplored disordered phase separated by a novel critical line meeting tangentially the Douglas-Kazakov one at a tricritical point. The associated phase transition is induced by the collision of large- N saddle points, determining its second-order character.
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