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A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is based on a continuous piecewise linear approximation of the velocity field and piecewise…

Numerical Analysis · Mathematics 2021-07-28 Gabriel R. Barrenechea , Endre Suli

Heterotic string theory has nonsupersymmetric branes whose existence is suggested by the cobordism conjecture. We numerically construct static, spherically symmetric, and asymptotically flat black brane solutions in ten-dimensional…

High Energy Physics - Theory · Physics 2024-12-04 Masaki Fukuda , Shun K. Kobayashi , Kento Watanabe , Kazuya Yonekura

In recent work, Dabholkar {\it et al.} constructed static ``cosmic string" solutions of the low-energy supergravity equations of the heterotic string, and conjectured that these solitons are actually exterior solutions for infinitely long…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

In this paper, we derive rotating black string solutions in the presence of two kinds of nonlinear electromagnetic fields, so called Born-Infeld and power Maxwell invariant. Investigation of the solutions show that for the Born-Infeld black…

High Energy Physics - Theory · Physics 2010-11-04 S. H. Hendi

In this paper we consider the nonlinear Hartree equation in presence of a given external potential, for an initial coherent state. Under suitable smoothness assumptions, we approximate the solution in terms of a time dependent coherent…

Mathematical Physics · Physics 2015-05-19 Agissilaos Athanassoulis , Thierry Paul , Federica Pezzotti , Mario Pulvirenti

We consider d=4, N=2 compactifications of heterotic strings with an arbitrary number of Wilson lines. In particular, we focus on known chains of candidate heterotic/type II duals. We give closed expressions for the topological amplitudes…

High Energy Physics - Theory · Physics 2009-04-17 Marlene Weiss

We further develop the string $1/c^2$ expansion of closed bosonic string theory, where $c$ is the speed of light. The expansion will be performed up to and including the next-to-next-to-leading order (NNLO). We show that the next-to-leading…

High Energy Physics - Theory · Physics 2023-02-21 Jelle Hartong , Emil Have

We obtain extremal stationary solutions that generalize the Israel-Wilson-Perj\'es class for the low-energy limit of heterotic string theory with n>=3 U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic…

High Energy Physics - Theory · Physics 2010-11-19 Alfredo Herrera-Aguilar , Oleg Kechkin

In this talk I summarize several recent results concerning the four-dimensional effective supergravity obtained using a Calabi-Yau compactification of the $E_8\times E_8$ heterotic string from M-theory. A simple macroscopic study is…

High Energy Physics - Theory · Physics 2007-05-23 C. Munoz

We find classical closed string solutions to the non-relativistic AdS$_5\times$S$^5$ string theory which are the analogue of the BMN and GKP solutions for the relativistic theory. We show that non-relativistic AdS$_5\times$S$^5$ string…

High Energy Physics - Theory · Physics 2022-02-03 Andrea Fontanella , Juan Miguel Nieto García

We explore the moduli space of heterotic strings in two dimensions. In doing so, we introduce new lines of compactified theories with Spin(24) gauge symmetry and discuss compactifications with Wilson lines. The phase structure of d=2…

High Energy Physics - Theory · Physics 2008-11-26 Joshua L. Davis

We study the stochastic nonlinear Schroedinger equations with linear multiplicative noise, particularly in the defocusing mass-critical and energy-critical cases. For general initial data, we prove the global existence and uniqueness of…

Probability · Mathematics 2018-11-06 Deng Zhang

Massless BPS-saturated states in toroidally compactified heterotic string were discussed first. Then, I constructed a large class of BPS-saturated states of toroidally compactified type II string theories. They were parametrized by four…

High Energy Physics - Theory · Physics 2007-05-23 Kwan-Leung Chan

Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a…

High Energy Physics - Theory · Physics 2017-12-06 Pieter-Jan De Smet , Chris D. White

In a recent paper, Duff and Rahmfeld argued that certain massive $N_R=1/2$ states of the four-dimensional heterotic string correspond to extreme black hole solutions. We provide further, dynamical, evidence for this identification by…

High Energy Physics - Theory · Physics 2009-10-28 Ramzi R. Khuri , Robert C. Myers

We examine neutrino zeromode solutions on the electroweak $Z$-string and their effect on the stability of the string in the standard model and its extensions. We propose using topological invariants constructed from the momentum (and real)…

High Energy Physics - Phenomenology · Physics 2024-07-19 Minoru Eto , Yu Hamada , Ryusuke Jinno , Muneto Nitta , Masatoshi Yamada

We construct the Neveu-Schwarz sector of heterotic string field theory using the large Hilbert space of the superghosts and the multi-string products of bosonic closed string field theory. No picture-changing operators are required as in…

High Energy Physics - Theory · Physics 2009-11-10 Yuji Okawa , Barton Zwiebach

We study the equivariant generalization of topological strings on toric manifolds, focusing in particular on defining the contributions of constant maps in the genus expansion of the partition function. This approach regularizes the…

High Energy Physics - Theory · Physics 2025-12-05 Luca Cassia , Kiril Hristov

In $D=3,4,6$ and 10 space--time dimensions considered is a string model invariant under transformations of $N=1$ space--time supersymmetry and $n=D-2$ local worldsheet supersymmetry with the both Virasoro constraints solved in the twistor…

High Energy Physics - Theory · Physics 2015-06-26 Igor A. Bandos , Martin Cederwall , Dmitrij P. Sorokin , Dmitrij V. Volkov

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger