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We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta ((m/R),(1/2)nR), we obtain infinite linear relations among high…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

The Ward identities of the $W_{\infty}$ symmetry in 2D string theory in the tachyon background are studied in the continuum approach. Comparing the solutions with the matrix model results, it is verified that 2D string amplitudes are…

High Energy Physics - Theory · Physics 2007-05-23 Ken-ji Hamada

We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string…

High Energy Physics - Theory · Physics 2021-09-29 Shigenori Seki , Tomohiko Takahashi

We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into…

High Energy Physics - Theory · Physics 2016-10-12 Yu-tin Huang , Warren Siegel , Ellis Ye Yuan

In an n dimensional vector space, any tensor which is antisymmetric in k>n arguments must vanish; this is a trivial consequence of the limited number of dimensions. However, when other possible properties of tensors, for example…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ola Wingbrant

We attempt to understand the fate of spacelike gravitational singularities in string theory via the quantum stress tensor for string matter in a fixed background. We first approximate the singularity with a homogeneous anisotropic…

High Energy Physics - Theory · Physics 2014-11-18 Albion Lawrence , Emil Martinec

Scattering amplitudes of gluons coupled with a pair of massive scalars, so-called massive scalar amplitudes, provide the simplest yet physically useful examples of massive amplitudes. In this paper we construct an S-matrix functional for…

High Energy Physics - Theory · Physics 2015-06-05 Yasuhiro Abe

We compute the power spectra in the cosmic microwave background and cold dark matter (CDM) fluctuations seeded by strings, using the largest string simulations performed so far to evaluate the two-point functions of their stress energy…

Astrophysics · Physics 2009-10-30 Carlo Contaldi , Mark Hindmarsh , Joao Magueijo

We employ multiparticle factorization to constrain deformations of tree-level open string amplitudes. Assuming minimal degeneracy among intermediate states of the same spin up through the second excited level, we find that the Regge…

High Energy Physics - Theory · Physics 2026-03-06 Ivano Basile , Grant N. Remmen , Georgina Staudt

We study a standard-embedding $N=2$ heterotic string compactification on $K3\times T^2$ with a Wilson line turned on and perform a world-sheet calculation of string threshold correction. The result can be expressed in terms of the…

High Energy Physics - Theory · Physics 2009-10-28 Toshiya Kawai

We set up a tree-level six point scattering process in which two strings are separated longitudinally such that they could only interact directly via a non-local spreading effect such as that predicted by light cone gauge calculations and…

High Energy Physics - Theory · Physics 2017-09-20 Matthew Dodelson , Eva Silverstein

We show that the scattering amplitude of four open string scalars or tachyons on the world-volume of a D$_p$-brane in the bosonic string theory can be written in a universal form. The difference between this amplitude and the corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Mohammad R. Garousi

We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group,…

High Energy Physics - Theory · Physics 2019-05-01 Rishabh Jha , Chethan Krishnan , K. V. Pavan Kumar

We review and extend high energy string BCJ relations in both the fixed angle and Regge regimes. We then give an explicit proof of four point string BCJ relations for all energy. This calculation provides an alternative proof of the one…

High Energy Physics - Theory · Physics 2016-06-29 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We analyze the fixed-angle high-energy ($\alpha' \to \infty$) structure of $n$-point tree-level string amplitudes from complementary perspectives: locally via saddle-point expansions, algebraically via difference equations and their…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Kervyn , Stephan Stieberger

We discuss the two and three particle light-cone distribution amplitudes (DAs) of pseudoscalar nonsinglet mesons of twist 3 and 4. Using nonlocal operator identities and conformal expansion, we derive closed expressions for several DAs. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patricia Ball

Low-scale string models are phenomenological models in String Theory, in which the string scale M_s is of the order of TeV. String excited states which are characteristic modes in low-scale string models can be observed as resonances in…

High Energy Physics - Phenomenology · Physics 2015-06-12 Manami Hashi , Noriaki Kitazawa

We analyse the oscillatory properties of resonantly damped transverse kink oscillations in two-dimensional prominence threads. The fine structures are modelled as cylindrically symmetric magnetic flux tubes with a dense central part with…

Solar and Stellar Astrophysics · Physics 2015-05-20 I. Arregui , R. Soler , J. L. Ballester , A. N. Wright

We consider compactifications of the heterotic string on $K3 \times T2$ so that the resulting theory in $d = 4$ space-time dimensions has $N = 2$ supersymmetry. The gravitational and gauge coupling constants of the low-energy effective…

High Energy Physics - Theory · Physics 2009-10-30 M. Henningson , G. Moore

We show that the spectral norm of a random $n_1\times n_2\times \cdots \times n_K$ tensor (or higher-order array) scales as $O\left(\sqrt{(\sum_{k=1}^{K}n_k)\log(K)}\right)$ under some sub-Gaussian assumption on the entries. The proof is…

Statistics Theory · Mathematics 2014-07-09 Ryota Tomioka , Taiji Suzuki
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