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1. Spectrum of large N glueballs: holography vs lattice

   https://doi.org/10.1007/JHEP11(2022)164  

   Dymarsky, Anatoly; Melnikov, Dmitry (November 2022, Journal of High Energy Physics)

   A<sc>bstract</sc> Recently there has been a notable progress in the study of glueball states in lattice gauge theories, in particular extrapolating their spectrum to the limit of large number of colorsN. In this note we compare the largeNlattice results with the holographic predictions, focusing on the Klebanov-Strassler model, which describes a gauge theory with$$ \mathcal{N} $$ $N$= 1 supersymmetry. We note that glueball spectrum demonstrates approximate universality across a range of gauge theory models. Because of this universality the holographic models can give reliable predictions for the spectrum of pure SU(N) Yang-Mills theories with and without supersymmetry. This is especially important for the supersymmetric theories, for which no firm lattice predictions exist yet, and the holographic models remain the most tractable approach. For SU(N) theories with largeNthe lattice non-supersymmetric and holographic supersymmetric predictions for the mass ratios of the lightest states in various sectors agree up to 5–8%, supporting the proposed universality. In particular, both lattice and holography give predictions for the 2⁺⁺and 1⁻⁻mass ratio, consistent with the known constraints on the pomeron and odderon Regge trajectories. 

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2. The frozen phase of heterotic F-theory duality

   https://doi.org/10.1007/JHEP07(2024)295  

   Oehlmann, Paul-Konstantin; Ruehle, Fabian; Sung, Benjamin (July 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> We study the duality between the Spin(32)/ℤ₂heterotic string without vector structure and F-theory with frozen singularities. We give a complete description in theories with 6d$$ \mathcal{N} $$ $N$= (1, 0) supersymmetry and identify the duals of Spin(32)/ℤ₂-instantons on ADE singularities without vector structure in the frozen phase of F-theory using an ansatz introduced by Bhardwaj, Morrison, Tachikawa, and Tomasiello. As a consequence, we obtain a strongly coupled description of orbifold phases of type I string theory without vector structure, substantially expanding the list of known examples of 6d F-theory compactifications with frozen singularities. Supergravity theories can befusedfrom these instanton theories, in a way that commutes with switching off vector structure, which we use to propose new consistency checks via neutral hypermultiplet counting. Finally, we describe various Higgsings of this duality, and comment on constraints on higher form symmetries. 

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3. Supergravity with mimetic dark matter

   https://doi.org/10.1140/epjc/s10052-021-09656-x  

   Chamseddine, Ali H. (November 2021, The European Physical Journal C)

   Abstract We formulate a supersymmetric version of gravity with mimetic dark matter. The coupling of a constrained chiral multiplet to $$N = 1$$ N = 1 supergravity is made locally supersymmetric using the rules of tensor calculus. The chiral multiplet is constrained with a Lagrange multiplier multiplet that could be either a chiral multiplet or a linear multiplet. We obtain the fully supersymmetric Lagrangians in both cases. It is then shown that the system consisting of the supergravity multiplet, the chiral multiplet and the Lagrange multiplier multiplet can break supersymmetry spontaneously leading to a model of a graviton, massive gravitino and two scalar fields representing mimetic dark matter. The combination of the chiral multiplet and Lagrange multiplier multiplet can act as the hidden sector breaking local $$N = 1$$ N = 1 supersymmetry. 

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4. Broken conformal window

   https://doi.org/10.1007/JHEP04(2025)152  

   Kondo, Dan; Murayama, Hitoshi; Noether, Bea; Varier, Digvijay Roy (April 2025, Journal of High Energy Physics)

   A<sc>bstract</sc> We show that near the edges of the conformal window of supersymmetric SU(N_c) QCD, perturbed by Anomaly Mediated Supersymmetry Breaking (AMSB), chiral symmetry can be broken depending on the initial conditions of the RG flow. We do so by perturbatively expanding around Banks-Zaks fixed points and taking advantage of Seiberg duality. Interpolating between the edges of the conformal window, we predict that non-supersymmetric QCD breaks chiral symmetry up toN_f≤ 3N_c− 1, while we cannot say anything definitive forN_f≥ 3N_cat this moment. 

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5. Scale separation on ${\mathrm{AdS}}_3\times S^3$ with and without supersymmetry

   https://doi.org/10.1103/mp1n-9vgy  

   Proust, Aymeric; Samtleben, Henning; Sezgin, Ergin (June 2025, Physical Review D)

   Six-dimensional chiral gauged Einstein-Maxwell supergravity admits a two-parameter rotating dyonic string solution whose near horizon limit is the direct product of three-dimensional Anti-De Sitter space and a squashed three-sphere $S^3$. For a particular relation between the two parameters, the solution preserves $1/2$supersymmetry. We determine the complete Kaluza-Klein spectrum of the theory around these ${\mathrm{AdS}}_3$backgrounds. For the supersymmetric backgrounds, the states organize into infinite towers of long and short multiplets of $\mathrm{OSp}\left(2\right|2)$. In a certain limit of parameters, both the supersymmetric and the nonsupersymmetric spectra exhibit scale separation. In the latter case there are five topologically massive vectors and five scalars retaining finite masses with integer conformal dimensions, and in the supersymmetric case there are supersymmetric partners with half integer conformal dimensions, while all other masses diverge. Published by the American Physical Society2025 

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