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The use of internal variables for the description of relativistic particles with arbitrary mass and spin in terms of scalar functions is reviewed and applied to the stochastic phase space formulation of quantum mechanics. Following Bacry…

广义相对论与量子宇宙学 · 物理学 2011-07-19 W. Drechsler

The near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are…

高能物理 - 理论 · 物理学 2009-10-31 Gaston Giribet , Carmen Nunez

We study the semiclassical spectrum of excitations around a long spinning string in AdS_3. In addition to the usual small fluctuations, we find the spectrum contains a branch of solitonic excitations of finite energy. We determine the…

高能物理 - 理论 · 物理学 2014-11-20 Nick Dorey , Manuel Losi

The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbour, next-nearest-neighbour and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one. The detailed construction…

数学物理 · 物理学 2020-06-03 Yi Qiao , Jian Wang , Junpeng Cao , Wen-Li Yang

The sigma model describing closed strings rotating in AdS_3 x S^3 is known to reduce to the one-dimensional Neumann-Rosochatius integrable system. In this article we show that closed spinning strings in AdS_3 x S^3 x T^4 in the presence of…

高能物理 - 理论 · 物理学 2015-06-22 Rafael Hernandez , Juan Miguel Nieto

We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and angular momentum J in P^3. We calculate the one-loop correction to its energy in the scaling limit of both ln S and J large with their ratio kept fixed. This…

高能物理 - 理论 · 物理学 2009-01-16 Tristan McLoughlin , Radu Roiban

Microstrata are the non-extremal analogues of superstrata: they are smooth, non-extremal (non-BPS) solitonic solutions to IIB supergravity whose deep-throat limits approximate black holes. Using perturbation theory and numerical methods, we…

高能物理 - 理论 · 物理学 2023-10-11 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo , Nicholas P. Warner

We study a target space geometry of the form $AdS_3 \times {\bf R}$ for the $(2,1)$ heterotic string. This target space arises as the near horizon limit of a solitonic configuration in 2+2 dimensions. We investigate the null isometries of…

高能物理 - 理论 · 物理学 2009-10-31 M. J. O'Loughlin , S. Randjbar-Daemi

We construct an exact metric which at short distances is the metric of massless particles in 5+1 spacetime (moving along a diameter of the sphere) and is AdS_3\times S^3 at infinity. We also consider a set of a conical defect spacetimes…

高能物理 - 理论 · 物理学 2010-11-19 Oleg Lunin , Samir D. Mathur

We study classical string solutions on RxS^2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived inverting Pohlmeyer reduction and classified with respect to their…

高能物理 - 理论 · 物理学 2018-12-04 Dimitrios Katsinis , Ioannis Mitsoulas , Georgios Pastras

We obtain explicit characterization of spectral and orbital stability of solitary wave solutions to the $\mathbf{U}(1)$-invariant Klein--Gordon equation in one spatial dimension coupled to an anharmonic oscillator. We also give the complete…

偏微分方程分析 · 数学 2020-12-09 Andrew Comech , Elena A. Kopylova

A query, about the orbit $P{\cal W}$ in real 3-space of a point $P$ under an isometry group ${\cal W}$ generated by edge rotations of a tetrahedron, leads to contrasting notions, ${\cal W}$ versus ${\cal S}$, of "rotation group". The set R…

度量几何 · 数学 2018-02-27 Donald Silberger , Sylvia Silberger

This is the third part of our series "Quasiclassical and Quantum Systems of Angular Momentum". In two previous parts we have discussed the methods of group algebras in formulation of quantum mechanics and certain quasiclassical problems.…

数学物理 · 物理学 2016-02-18 J. J. Sławianowski , V. Kovalchuk , A. Martens , B. Gołubowska , E. E. Rożko

We study the isometry groups of compact spherical orientable $3$-orbifolds $S^3/G$, where $G$ is a finite subgroup of $\mathrm{SO}(4)$, by determining their isomorphism type. Moreover, we prove that the inclusion of $\mbox{Isom}(S^3/G)$…

几何拓扑 · 数学 2020-05-26 Mattia Mecchia , Andrea Seppi

Scale-separated AdS compactifications of string theory can be constructed at the two-derivative supergravity level in the presence of smeared orientifold planes. The unsmearing corrections are known to leading order in the large volume,…

高能物理 - 理论 · 物理学 2024-12-04 Maxim Emelin

We present a simple algorithm to obtain solutions that generalize the Israel--Wilson--Perj\'es class for the low-energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing…

高能物理 - 理论 · 物理学 2010-11-19 Alfredo Herrera-Aguilar , Oleg Kechkin

We study integrable deformations of AdS/CFT by focusing upon three kinds of warped AdS_3 geometries, 1) space-like warped AdS_3, 2) time-like warped AdS_3 and 3) null warped AdS_3. These geometries are embedded into type IIB supergravity…

高能物理 - 理论 · 物理学 2015-06-15 Takashi Kameyama , Kentaroh Yoshida

Wilson loops are calculated within the AdS/CFT correspondence by finding a classical solution to the string equations of motion in AdS_5 x S^5 and evaluating its action. An important fact is that this sigma-model used to evaluate the Wilson…

高能物理 - 理论 · 物理学 2009-11-11 Nadav Drukker , Bartomeu Fiol

We discuss semiclassical quantization of closed superstrings in AdS_5 x S^5. We consider two basic examples: point-like string boosted along large circle of S^5 and folded string rotating in AdS_5. In the first case we clarify the general…

高能物理 - 理论 · 物理学 2009-09-17 A. A. Tseytlin

We couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds…

高能物理 - 理论 · 物理学 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell
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