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1. Level repulsion in $$ \mathcal{N} $$ = 4 super-Yang-Mills via integrability, holography, and the bootstrap

   https://doi.org/10.1007/JHEP07(2024)059  

   Chester, Shai M; Dempsey, Ross; Pufu, Silviu S (July 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in$$ \mathcal{N} $$ $N$= 4 SU(N) super-Yang-Mills theory for a wide range ofNand Yang-Mills couplingsg_YM. We find that our bounds are approximately saturated by weak coupling results at smallg_YM. Furthermore, at largeNour bounds interpolate between integrability results for the Konishi operator at smallg_YMand strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at largeg_YM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling. 

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2. The EFT of large spin mesons

   https://doi.org/10.1007/JHEP04(2025)049  

   Cuomo, Gabriel; Dubovsky, Sergei; Hernández-Chifflet, Guzmán; Monin, Alexander; Zare, Shahrzad (April 2025, Journal of High Energy Physics)

   A<sc>bstract</sc> We use effective string theory to study mesons with large spinJin largeN_cQCD as rotating open strings. In the first part of this work, we formulate a consistent effective field theory (EFT) for open spinning strings with light quarks. Our EFT provides a consistent treatment of the endpoints’ singularities that arise in the massless limit. We obtain results, in a systematic 1/Jexpansion, for the spectrum of the leading and daughter Regge trajectories. Interestingly, we find that the redshift factor associated with the quarks’ acceleration implies that the applicability regime of the EFT is narrower compared to that of static flux tubes. In the second part of this work, we discuss several extensions of phenomenological interests, including mesons with heavy quarks, the quarks’ spin and the daughter Regge trajectories associated with the worldsheet axion, a massive string mode identified in lattice simulations of 4dflux tubes. We compare our predictions with 4dQCD spectroscopy data, and suggest potentialstringyinterpretations of the observed mesons. We finally comment on the relation between the EFT spectrum and the Axionic String Ansatz, a recently proposed characterization of the spectrum of Yang-Mills glueballs. 

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3. Flux correlators and semiclassics

   https://doi.org/10.1007/JHEP03(2024)067  

   Firat, Eren; Monin, Alexander; Rattazzi, Riccardo; Walters, Matthew T (March 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> We consider correlators for the flux of energy and charge in the background of operators with large global U(1) charge in conformal field theory (CFT). It has recently been shown that the corresponding Euclidean correlators generically admit a semiclassical description in terms of the effective field theory (EFT) for a conformal superfluid. We adapt the semiclassical description to Lorentzian observables and compute the leading large charge behavior of the flux correlators in general U(1) symmetric CFTs. We discuss the regime of validity of the large charge EFT for these Lorentzian observables and the subtleties in extending the EFT approach to subleading corrections. We also consider the Wilson-Fisher fixed point ind= 4 −ϵdimensions, which offers a specific weakly coupled realization of the general setup, where the subleading corrections can be systematically computed without relying on an EFT. 

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4. Robust convergence analysis of distributed optimization algorithms

   https://doi.org/10.1109/ALLERTON.2017.8262874  

   Sundararajan, Akhil; Hu, Bin; Lessard, Laurent (October 2017, Communication, Control, and Computing (Allerton), 2017 55th Annual Allerton Conference on)

   We present a unified framework for analyzing the convergence of distributed optimization algorithms by formulating a semidefinite program (SDP) which can be efficiently solved to bound the linear rate of convergence. Two different SDP formulations are considered. First, we formulate an SDP that depends explicitly on the gossip matrix of the network graph. This result provides bounds that depend explicitly on the graph topology, but the SDP dimension scales with the size of the graph. Second, we formulate an SDP that depends implicitly on the gossip matrix via its spectral gap. This result provides coarser bounds, but yields a small SDP that is independent of graph size. Our approach improves upon existing bounds for the algorithms we analyzed, and numerical simulations reveal that our bounds are likely tight. The efficient and automated nature of our analysis makes it a powerful tool for algorithm selection and tuning, and for the discovery of new algorithms as well. 

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5. Resonant shattering flares as asteroseismic tests of chiral effective field theory

   https://doi.org/10.1103/PhysRevC.111.015809  

   Neill, Duncan; Tsang, David; Drischler, Christian; Holt, Jeremy W; Newton, William G (January 2025, Physical Review C)

   Chiral effective field theory ( $\chi \mathrm{EFT}$) has proved to be a powerful microscopic framework for predicting the properties of neutron-rich nuclear matter with quantified theoretical uncertainties up to about twice the nuclear saturation density. Tests of $\chi \mathrm{EFT}$predictions are typically performed at low densities using nuclear experiments, with neutron star (NS) constraints only being considered at high densities. In this work, we discuss how asteroseismic quasinormal modes within NSs could be used to constrain specific matter properties at particular densities not just the integrated quantities to which bulk NS observables are sensitive. We focus on the crust-core interface mode, showing that measuring this mode's frequency would provide a meaningful test of $\chi \mathrm{EFT}$at densities around half the saturation density. Conversely, we use nuclear matter properties predicted by $\chi \mathrm{EFT}$to estimate that this mode's frequency is around $185\pm 50\text{Hz}$. Asteroseismic observables such as resonant phase shifts in gravitational-wave signals and multimessenger resonant shattering flare timings, therefore, have the potential to provide useful tests of $\chi \mathrm{EFT}$. Published by the American Physical Society2025 

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