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We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our…

Combinatorics · Mathematics 2024-02-07 Joel Brewster Lewis , Alejandro H. Morales

We argue that, contrary to previous claims, the supersymmetric sine-Gordon model with boundary has a two-parameter family of boundary interactions which preserves both integrability and supersymmetry. We also propose the corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Rafael I. Nepomechie

The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n= 1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with the central terms which arises from the affine quantum group $U_{q}( \hat{s \ell}…

High Energy Physics - Theory · Physics 2016-09-06 H. Itoyama , T. Oota

An $S$--matrix approach is developed for the chaotic dynamics of a nonlinear oscillator with dissipation. The quantum--classical crossover is studied in the framework of the semiclassical expansion for the $S$--matrix. Analytical…

Chaotic Dynamics · Physics 2009-11-10 A. Iomin

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We show that the S-matrix ansatz implies a semi-classical metric such that a freely falling test particle will not cross the horizon in its proper time. Instead of reaching the singularity it will reach ${\cal I^{+}}$.

High Energy Physics - Theory · Physics 2007-05-23 N. Itzhaki

Violations of universality of couplings in a vectorlike extension of the standard model with three heavy mirror fermion families are considered. The recently observed discrepancies between experiments and the standard model in the hadronic…

High Energy Physics - Phenomenology · Physics 2009-10-28 István Montvay

We analyze CP violation in supersymmetric extensions of the Standard Model with heavy scalar fermions of the first two generations. Neglecting intergenerational mixing in the sfemion mass matrices and thus considering only chargino, charged…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. A. Demir , A. Masiero , O. Vives

We consider a general formalism to compute inclusive polarised and unpolarised cross sections within pQCD and the factorisation scheme, taking into account parton intrinsic motion in distribution and fragmentation functions, as well as in…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Anselmino , M. Boglione , U. D'Alesio , E. Leader , F. Murgia

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

The IIB matrix model has been proposed as a non-perturbative definition of superstring theory. In this work, we study the Euclidean version of this model in which extra dimensions can be dynamically compactified if a scenario of…

High Energy Physics - Lattice · Physics 2015-11-12 Konstantinos N. Anagnostopoulos , Takehiro Azuma , Jun Nishimura

We establish a factorisation theorem for invertible, cross-symmetric, totally nonnegative matrices, and illustrate the theory by verifying that certain cases of Holte's Amazing Matrix are totally nonnegative.

Rings and Algebras · Mathematics 2020-11-16 T H Lenagan , A P Neate

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha

We study the integrable and supersymmetric massive $\hat\phi_{(1,3)}$ deformation of the tricritical Ising model in the presence of a boundary. We use constraints from supersymmetry in order to compute the exact boundary $S$-matrices, which…

High Energy Physics - Theory · Physics 2009-10-31 A. De Martino , M. Moriconi

We calculate for the first time the finite size corrections in the massive Thirring model. This is done by numerically solving the equations of periodic boundary conditions of the Bethe ansatz solution. It is found that the corresponding…

High Energy Physics - Theory · Physics 2009-10-30 Takehisa Fujita , Hidenori Takahashi

The Thirring model with imaginary mass (or the sine-Gordon model with imaginary coupling) is deeply related to all the flows between minimal conformal theories. We solve this model explicitely using the Bethe ansatz. We find that there are…

High Energy Physics - Theory · Physics 2009-10-28 Hubert Saleur , Sergei Skorik

Using the recently introduced ACV reduced-action approach to transplanckian scattering of light particles, we show that the $S$-matrix in the region of classical gravitational collapse is related to a tunneling amplitude in an effective…

High Energy Physics - Theory · Physics 2009-02-09 M. Ciafaloni , D. Colferai

We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking…

High Energy Physics - Theory · Physics 2009-11-13 Johanna Knapp , Harun Omer

We propose asymmetric factorization method for supersymmetry involving complex operators. Model Hamiltonians satisfy supersymmetric energy conditions $E_{n}^{(+)}=E_{n+1}^{(-)}$; $E_{0}^{(-)}=0$.

Quantum Physics · Physics 2024-11-11 Biswanath Rath

We demonstrate the violation of kT-factorization for quark production in high energy hadronic collisions. This violation is quantified in the Color Glass Condensate framework and studied as a function of the quark mass, the quark transverse…

High Energy Physics - Phenomenology · Physics 2010-11-30 Hirotsugu Fujii , Francois Gelis , Raju Venugopalan
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