• Generalized bases of finite groups 

  Sambale, Benjamin (Berlin, Heidelberg : Springer, 2021)

  Motivated by recent results on the minimal base of a permutation group, we introduce a new local invariant attached to arbitrary finite groups. More precisely, a subset Δ of a finite group G is called a p-base (where p is ...
• Scaling Limits of Lattice Quantum Fields by Wavelets 

  Morinelli, Vincenzo; Morsella, Gerardo; Stottmeister, Alexander; Tanimoto, Yoh (Berlin, Heidelberg : Springer, 2021)

  We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system of scaling maps between lattice field ...
• Bayesian inversion for unified ductile phase-field fracture 

  Noii, Nima; Khodadadian, Amirreza; Ulloa, Jacinto; Aldakheel, Fadi; Wick, Thomas; François, Stijn; Wriggers, Peter (Berlin, Heidelberg : Springer, 2021)

  The prediction of crack initiation and propagation in ductile failure processes are challenging tasks for the design and fabrication of metallic materials and structures on a large scale. Numerical aspects of ductile failure ...
• Polarization Switching Between Electric and Magnetic Quasi-Trapped Modes in Bianisotropic All-Dielectric Metasurfaces 

  Evlyukhin, Andrey B.; Poleva, Maria A.; Prokhorov, Alexei V.; Baryshnikova, Kseniia V.; Miroshnichenko, Andrey E.; Chichkov, Boris N. (Weinheim : Wiley-VCH, 2021)

  A general strategy for the realization of electric and magnetic quasi-trapped modes located at the same spectral position is presented. This strategy's application makes it possible to design metasurfaces allowing switching ...
• Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones 

  Khalile, Magda; Lotoreichik, Vladimir (Zürich : EMS Publishing House, 2022)

  We consider the problem of geometric optimization of the lowest eigenvalue for the Laplacian on a compact, simply-connected two-dimensional manifold with boundary subject to an attractive Robin boundary condition. We prove ...
• Fusion in the periodic Temperley-Lieb algebra and connectivity operators of loop models 

  Ikhlef, Yacine; Morin-Duchesne, Alexi (Amsterdam : SciPost Foundation, 2022)

  In two-dimensional loop models, the scaling properties of critical random curves are encoded in the correlators of connectivity operators. In the dense O(n) loop model, any such operator is naturally associated to a standard ...
• Finite size spectrum of the staggered six-vertex model with Uq(sl (2))-invariant boundary conditions 

  Frahm, Holger; Gehrmann, Sascha (Berlin, Heidelberg : Springer, 2022)

  The finite size spectrum of the critical ℤ2-staggered spin-1/2 XXZ model with quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of the staggering the spectrum of conformal weights ...
• Real projective structures on Riemann surfaces and new hyper-Kähler manifolds 

  Heller, Sebastian (Berlin, Heidelberg : Springer, 2022)

  The twistor space of the moduli space of solutions of Hitchin’s self-duality equations can be identified with the Deligne-Hitchin moduli space of λ-connections. We use real projective structures on Riemann surfaces to prove ...
• Integrability of supersymmetric Calogero–Moser models 

  Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton (Amsterdam : North-Holland Publ., 2022)

  We analyze the integrability of the -extended supersymmetric Calogero–Moser model. We explicitly construct the Lax pair for this system, which properly reproduces all equations of motion. After adding a supersymmetric ...
• Is the Nicolai map unique? 

  Lechtenfeld, Olaf; Rupprecht, Maximilian (Berlin, Heidelberg : Springer, 2022)

  The Nicolai map is a field transformation that relates supersymmetric theories at finite couplings g with the free theory at g = 0. It is obtained via an ordered exponential of the coupling flow operator integrated from 0 ...
• On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0 

  Dill, Gabriel A. (Boston, Mass. : Birkhäuser, 2022)

  Let K be a field of characteristic 0 and let G and H be connected commutative algebraic groups over K. Let Mor0(G,H) denote the set of morphisms of algebraic varieties G → H that map the neutral element to the neutral ...
• The coupling flow of N = 4 super Yang-Mills theory 

  Rupprecht, Maximilian (Berlin, Heidelberg : Springer, 2022)

  We offer a novel perspective on N = 4 supersymmetric Yang-Mills (SYM) theory through the framework of the Nicolai map, a transformation of the bosonic fields that allows one to compute quantum correlators in terms of a ...
• Analytic extensions of Starobinsky model of inflation 

  Ivanov, Vsevolod R.; Ketov, Sergei V.; Pozdeeva, Ekaterina O.; Vernov, Sergey Y. (London : IOP, 2022)

  We study several extensions of the Starobinsky model of inflation, which obey all observational constraints on the inflationary parameters, by demanding that both the inflaton scalar potential in the Einstein frame and the ...
• Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects 

  Lankeit, Johannes; Winkler, Michael (Basel : Springer, 2022)

  We introduce a generalized concept of solutions for reaction–diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special ...
• Highly anisotropic mechanical and optical properties of 2D NbOX2 (X = Cl, Br, I) revealed by first-principle 

  Mortazavi, Bohayra; Shahrokhi, Masoud; Javvaji, Brahmanandam; Shapeev, Alexander V.; Zhuang, Xiaoying (Bristol : IOP Publ., 2022)

  In the latest experimental success, NbOI2 two-dimensional (2D) crystals with anisotropic electronic and optical properties have been fabricated (Adv. Mater. 33 (2021), 2101505). In this work inspired by the aforementioned ...
• A perturbative expansion scheme for supermembrane and matrix theory 

  Lechtenfeld, Olaf; Nicolai, Hermann (Berlin, Heidelberg : Springer, 2022)

  We reconsider the supermembrane in a Minkowski background and in the light-cone gauge as a one-dimensional gauge theory of area preserving diffeomorphisms (APDs). Keeping the membrane tension T as an independent parameter ...
• Trivializable and Quaternionic Subriemannian Structures on S7 and Subelliptic Heat Kernel 

  Bauer, Wolfram; Laaroussi, Abdellah (New York, NY : Springer, 2022)

  On the seven dimensional Euclidean sphere S7 we compare two subriemannian structures with regards to various geometric and analytical properties. The first structure is called trivializable and the underlying distribution ...
• Galois representations on the cohomology of hyper-Kähler varieties 

  Floccari, Salvatore (Berlin, Heidelberg : Springer, 2022)

  We show that the André motive of a hyper-Kähler variety X over a field K⊂ C with b2(X) > 6 is governed by its component in degree 2. More precisely, we prove that if X1 and X2 are deformation equivalent hyper-Kähler varieties ...
• Non-equilibrium spin noise spectroscopy of a single quantum dot operating at fiber telecommunication wavelengths 

  Sun, Tian-Jiao; Sterin, P.; Lengert, L.; Nawrath, C.; Jetter, M.; Michler, P.; Ji, Yang; Hübner, J.; Oestreich, M. (Melville, NY : American Inst. of Physics, 2022)

  We report on the spin and occupation noise of a single, positively charged (InGa)As quantum dot emitting photons in the telecommunication C-band. The spin noise spectroscopy measurements are carried out at a temperature ...
• OSp(n|2m) quantum chains with free boundaries 

  Frahm, Holger; Martins, Márcio J. (Amsterdam : North-Holland Publ. Co., 2022)

  In this paper we investigate the spectrum of OSp(n|2m) quantum spin chains with free boundary conditions. We compute the surface free energy of these models which, similar to other properties in the thermodynamic limit ...

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