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Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels and bound state wave functions are obtained analytically.…

High Energy Physics - Theory · Physics 2008-11-26 F. Cannata , M. V. Ioffe , D. N. Nishnianidze

We construct models of exactly solvable two-particle quantum graphs with certain non-local two-particle interactions, establishing appropriate boundary conditions via suitable self-adjoint realisations of the two-particle Laplacian. Showing…

Mathematical Physics · Physics 2017-02-20 Jens Bolte , George Garforth

We theoretically investigate supersolidity in three-dimensional dipolar Bose-Einstein condensates. We focus on the role of trap geometry in determining the dimensionality of the resulting droplet arrays, which range from one-dimensional to…

The complete set of solutions of two dimensional classical string theory are constructed for any curved spacetime. They describe folded strings moving in curved spacetime. Surprizing stringy behavior becomes evident at singularities such as…

High Energy Physics - Theory · Physics 2007-05-23 Itzhak Bars

It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these…

Strongly Correlated Electrons · Physics 2017-07-19 Michael Pretko

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

It is argued that the electron stripes as found in correlated oxides have to do with an unrecognized form of order. The manifestation of this order is the robust property that the charge stripes are at the same time anti-phase boundaries in…

Strongly Correlated Electrons · Physics 2009-11-07 J. Zaanen , O. Y. Osman , H. V. Kruis , Z. Nussinov , J. Tworzydlo

We set up a model of an electric charge where the noninvertible metric phase of first order gravity supercedes the point charge singularity in a curved spacetime. A topological interpretation of the electric charge is provided in terms of…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Suvikranth Gera , Sandipan Sengupta

We construct a hierarchy of exactly solvable spin-1/2 chains with so(N)_1 critical points. Our construction is based on the framework of condensate-induced transitions between topological phases. We employ this framework to construct a…

Strongly Correlated Electrons · Physics 2014-01-13 Ville Lahtinen , Teresia Mansson , Eddy Ardonne

We investigate infinite strings in $(2+1)D$ space-time, which may be considered as excitations of straight lines on the spatial plane. We also propose the hamiltonian description of such objects that differs from the standard hamiltonian…

Mathematical Physics · Physics 2012-02-13 S. V. Talalov

Following a solution generating technique introduced recently by one of us, we transform the Einstein static Universe into a two - fold infinity class of physically acceptable exact perfect fluid solutions of Einstein's equations. Whereas…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cédric Grenon , Pascal J. Elahi , Kayll Lake

The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented. In particular I consider in detail several examples of appearence of solutions to the…

High Energy Physics - Theory · Physics 2009-10-30 A. Marshakov

We study de Sitter configurations in ten-dimensional string models where supersymmetry is either absent or broken at the string scale. To this end, we derive expressions for the cosmological constant in general warped flux compactifications…

High Energy Physics - Theory · Physics 2020-12-02 Ivano Basile , Stefano Lanza

The advent of twisted moir\'e heterostructures as a playground for strongly correlated electron physics has led to a plethora of experimental and theoretical efforts seeking to unravel the nature of the emergent superconducting and…

Strongly Correlated Electrons · Physics 2022-05-06 Dominik Kiese , Yuchi He , Ciarán Hickey , Angel Rubio , Dante M. Kennes

Supersymmetry can be consistently generalized in one and two dimensional spaces, fractional supersymmetry being one of the possible extension. 2D fractional supersymmetry of arbitrary order $F$ is explicitly constructed using an adapted…

High Energy Physics - Theory · Physics 2008-02-03 M. Rausch de Traubenberg , P. Simon

We extend the entanglement bootstrap approach to (3+1)-dimensions. We study knotted excitations of (3+1)-dimensional liquid topological orders and exotic fusion processes of loops. As in previous work in (2+1)-dimensions, we define a…

High Energy Physics - Theory · Physics 2024-02-29 Jin-Long Huang , John McGreevy , Bowen Shi

Twistor string models have been known for more than a decade now but have come back under the spotlight recently with the advent of the scattering equation formalism which has greatly generalized the scope of these models. A striking…

High Energy Physics - Theory · Physics 2018-03-21 Eduardo Casali , Piotr Tourkine

We present an exactly solvable model of a quantum spin liquid with Abelian anyons in d=2 spatial dimensions. With spins 1/2 on a triangular lattice and six-body interactions, our model has zero spin correlation length and localized…

Strongly Correlated Electrons · Physics 2017-04-19 Haoyu Wang , Hitesh J. Changlani , Yuan Wan , Oleg Tchernyshyov

It is well known that the SU(2)-gauge invariant phase space of loop gravity can be represented in terms of twisted geometries. These are piecewise-linear-flat geometries obtained by gluing together polyhedra, but the resulting geometries…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Laurent Freidel , Jonathan Ziprick

Time-dependent solutions of supergravity and string theory are studied. The examples are obtained from de Sitter deformation of gauge/gravity dualities, analytical continuation of static solutions, and ``exactly solvable'' worldsheet…

High Energy Physics - Theory · Physics 2009-11-07 Alex Buchel , Peter Langfelder , Johannes Walcher