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The free non-critical string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<D<25$. The longitudinal degrees of freedom are described by an abstract Verma module. The central charge of this…

High Energy Physics - Theory · Physics 2009-10-30 M. Daszkiewicz , Z. Hasiewicz , Z. Jaskolski

It is shown that all bosonic and fermionic massive string models admit consistent light-cone formulations. This result is used to derive the spin generating functions of these models in four dimensions.

High Energy Physics - Theory · Physics 2009-10-31 Marcin Daszkiewicz , Zbigniew Jaskolski

The covariant operator quantization of the ordinary free spinning BDH string modified by adding the supersymmetric Liouville sector is analysed in the even target space dimensions $d=2,4,6,8$. The spectrum generating algebra for this model…

High Energy Physics - Theory · Physics 2009-10-31 Zbigniew Hasiewicz , Zbigniew Jaskolski , Andrzej Ostrowski

Free bosonic strings in noncommutative spacetime are investigated. The string spectrum is obtained in terms of light-cone quantization. We construct two different models. In the first model the critical dimension is still required to be 26…

High Energy Physics - Theory · Physics 2007-05-23 Xiao-Jun Wang

We explore the postulates of string no-scale supergravity in the context of free-fermionic string models. The requirements of vanishing vacuum energy, flat directions of the scalar potential, and stable no-scale mechanism impose strong…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Lopez , D. Nanopoulos

I review the main properties of four-dimensional strings constructed with free-fermions on the world-sheet. In particular I discuss possible model independent low energy predictions related to the existence of states with fractional…

High Energy Physics - Theory · Physics 2007-05-23 I. Antoniadis

Redefining the vacuum state of a free two-fold $N=1$ covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the $NS$…

High Energy Physics - Theory · Physics 2022-03-23 J. S. Bhattacharyya

Although the energy spectrum of the Heisenberg spin chain on a circle defined by $H=\frac{1}{4}\sum_{k=1}^M(\sigma_k^x\sigma_{k+1}^x+\sigma_k^y\sigma_{k+1}^y +\Delta\sigma_k^z\sigma_{k+1}^z)$ is well known for any fixed $M$, the boundary…

High Energy Physics - Theory · Physics 2021-03-17 Charles B. Thorn

We investigate the enlarged class of open finite strings in $(2+1)D$ space-time. The new dynamical system related to this class is constructed and quantized here. As the result, the energy spectrum of the model is defined by a simple…

Mathematical Physics · Physics 2011-06-27 S. V. Talalov

The joining--splitting interaction of non-critical bosonic string is analyzed in the light-cone formulation. The Mandelstam method of constructing tree string amplitudes is extended to the bosonic massive string models of the discrete…

High Energy Physics - Theory · Physics 2009-11-07 Leszek Hadasz , Zbigniew Jaskolski

Redefining the vacuum state of a free twofold N=1 covariant supersymmetric string action as the one with all the world sheet fermionic excited states occupied, makes the theory anomaly free in D=4 with Minkowski signature. The theory thus…

High Energy Physics - Theory · Physics 2007-06-21 J. S. Bhattacharyya , Gautam Bhattacharya

The purpose of this article is to extend the lightcone worldsheet lattice description of string theory to include the Neveu-Schwarz model. We model each component of the fermionic worldsheet field by a critical Ising model. We show that a…

High Energy Physics - Theory · Physics 2014-11-21 Charles B. Thorn

The light-cone Hamiltonian, incorporating the nonperturbative dynamics of the $q\bar q$ system connected by the string is solved numerically. The spectrum is shown to coincide with that of the center-of-mass Hamiltonian within the accuracy…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. L. Morgunov , V. I. Shevchenko , Yu. A. Simonov

We find the full interacting Lagrangian and Hamiltonian for quantum strings in a near plane wave limit of AdS_4 x CP^3. The leading curvature corrections give rise to cubic and quartic terms in the Lagrangian and Hamiltonian that we compute…

High Energy Physics - Theory · Physics 2014-11-20 Davide Astolfi , Valentina Giangreco M. Puletti , Gianluca Grignani , Troels Harmark , Marta Orselli

Calculational tools are provided allowing to determine general tree-level scattering amplitudes for processes involving bosons and fermions in heterotic and superstring theories in four space-time dimensions. We compute higher-point…

High Energy Physics - Theory · Physics 2011-10-11 D. Haertl , O. Schlotterer , S. Stieberger

We propose gauging matrix models of string theory to eliminate unwanted non-singlet states. To this end we perform a discretised light-cone quantisation of large N gauge theory in 1+1 dimensions, with scalar or fermionic matter fields…

High Energy Physics - Theory · Physics 2013-11-13 S. Dalley , I. Klebanov

In the first part of this paper I review the construction of the realistic free fermionic models, as well as current attempts to study aspects of these models in the nonperturbative framework of M- and F-theories. I discuss the recent…

High Energy Physics - Theory · Physics 2007-05-23 Alon E. Faraggi

I discuss the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. I discuss the massless spectrum of the superstring standard--like models and the texture of fermion mass matrices.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alon E. Faraggi

In the first sections of this paper we give an elementary but rigorous approach to the construction of the quantum Bosonic and supersymmetric string system continuing the analysis of Dimock. This includes the construction of the DDF…

High Energy Physics - Theory · Physics 2010-11-11 Dan-Radu Grigore

In string bit models, the superstring emerges as a very long chain of "bits", in which s fermionic degrees of freedom contribute positively to the ground state energy in a way to exactly cancel the destabilizing negative contributions of…

High Energy Physics - Theory · Physics 2014-05-14 Songge Sun , Charles B. Thorn
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