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We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears universally in four-dimensional N=2 systems. The…

High Energy Physics - Theory · Physics 2015-03-03 Clay Cordova , Shu-Heng Shao

We study the canonical quantization of a bosonic string in presence of N twist fields. This generalizes the quantization of the twisted string in two ways: the in and out states are not necessarily twisted and the number of twist fields N…

High Energy Physics - Theory · Physics 2015-06-22 Igor Pesando

We investigate the effective dynamics of an arbitrary Dirichlet p-brane, in a path-integral formalism, by incorporating the massless excitations of closed string modes in open bosonic string theory. It is shown that the closed string…

High Energy Physics - Theory · Physics 2015-06-26 Supriya Kar

As examples of models having interesting constraint structures, we derive a quantum mechanical model from the spatial freezing of a well known relativistic field theory - the chiral Schwinger model. We apply the Hamiltonian constraint…

Mathematical Physics · Physics 2009-07-10 Sudipta Das , Subir Ghosh

We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in Quantum Information. For string-bond states, expectation values of local observables can be…

Quantum Physics · Physics 2009-11-13 Norbert Schuch , Michael M. Wolf , Frank Verstraete , J. Ignacio Cirac

The quantum Hall effect is studied in a spherical geometry using the Dirac operator for non-interacting fermions in a background magnetic field, which is supplied by a Wu-Yang magnetic monopole at the centre of the sphere. Wave functions…

High Energy Physics - Theory · Physics 2024-02-20 Brian P. Dolan , Aonghus Hunter-McCabe

Bound states arising in Dirac fields are usually attributed to two kinds of features: domain walls where a real Dirac mass field changes sign, which host Jackiw-Rebbi states, and phase singularities in a complex Dirac mass field, which host…

We investigate nonlinear Dirac equations on a periodic quantum graph $G$ and develop a variational approach to the existence and multiplicity of bound states. After introducing the Dirac operator on $G$ with a $\mathbb Z^{d}$-periodic…

Analysis of PDEs · Mathematics 2026-02-02 Zhipeng Yang , Ling Zhu

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hitoshi Ito

We formulate $\lambda$-deformed $\sigma$-models as QFTs in the upper-half plane. For different boundary conditions we compute correlation functions of currents and primary operators, exactly in the deformation parameter $\lambda$ and for…

High Energy Physics - Theory · Physics 2021-05-27 Konstantinos Sfetsos , Konstantinos Siampos

We investigate the quantum motion of a neutral Dirac particle bouncing on a mirror in curved spacetime. We consider different geometries: Rindler, Kasner-Taub and Schwarzschild, and show how to solve the Dirac equation by using geometrical…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Boulanger , Fabien Buisseret , Philippe Spindel

We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground…

Quantum Physics · Physics 2015-06-16 Yirun Arthur Lee , Guifre Vidal

$U(1)$ zero modes in the $SL(2,R)_k/U(1)$ and $SU(2)_k/U(1)$ conformal coset theories, are investigated in conjunction with the string black hole solution. The angular variable in the Euclidean version, is found to have a double set of…

High Energy Physics - Theory · Physics 2007-05-23 Mordechai Spiegelglas

The low-energy excitations in many condensed matter and metamaterial systems can be well described by the Dirac equation. The mass term associated with these collective excitations, also known as the Dirac mass, can take any value and is…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Gengming Liu , Jiho Noh , Jianing Zhao , Gaurav Bahl

We examine the T-duality relation between 1+1 NCOS and the DLCQ limit of type IIA string theory. We show that, as long as there is a compact dimension, one can meaningfully define an `NCOS' limit of IIB/A string theory even in the absence…

High Energy Physics - Theory · Physics 2009-10-31 Ulf H. Danielsson , Alberto Guijosa , Martin Kruczenski

We examine the one dimensional Dirac equation with modulated or position dependent velocity. In particular, it is shown that using suitable velocity profiles it is possible to create bound state in continuum (BIC) like, as well as, discrete…

Materials Science · Physics 2012-10-02 O. Panella , P. Roy

We study the infra-red limit of the O(N) gauge theory that describes the low energy modes of a system of $N$ type I D-strings and provide some support to the conjecture that, in this limit, the theory flows to an orbifold conformal theory.…

High Energy Physics - Theory · Physics 2009-10-31 E. Gava , J. F. Morales , K. S. Narain , G. Thompson

The merging or emergence of a pair of Dirac points may be classified according to whether the winding numbers which characterize them are opposite ($+-$ scenario) or identical ($++$ scenario). From the touching point between two parabolic…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Gilles Montambaux , Lih-King Lim , Jean-Noël Fuchs , Frédéric Piéchon

State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and $M$-theory. We have explicitly examined the case of unit Kaluza-Klein momentum…

High Energy Physics - Theory · Physics 2015-05-20 Stefano Bellucci , Bhupendra Nath Tiwari

We consider computing the on-shell disk action of open-closed string field theory as a gauge-invariant way of capturing the shift in D-brane tension that is induced by a deformation of the bulk CFT. We study the effect of bulk matter…

High Energy Physics - Theory · Physics 2024-08-02 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera