On multidimensional analogs of Melvin's solution for classical series of Lie algebras

A multidimensional generalization of Melvin's solution for an arbitrary simple Lie algebra G is presented. The gravitational model contains n 2-forms and l ≥ n scalar fields, where n is the rank of G. The solution is governed by a set of n functions obeying n ordinary differential equations with certain boundary conditions. It was conjectured earlier that these functions should be polynomials (the so-called fluxbrane polynomials). A program (in Maple) for calculating these polynomials for classical series of Lie algebras is suggested. The polynomials corresponding to the Lie algebra D 4 are obtained. It is conjectured that the polynomials for A n -, B n - and C n -series may be obtained from polynomials for D n+1-series by using certain reduction formulas. © 2009 Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
2
Язык
Английский
Страницы
144-147
Статус
Опубликовано
Подразделение
-
Номер
-
Том
15
Год
2009
Организации
  • 1 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow 117198, Russian Federation
  • 2 Center for Gravitation and Fundamental Metrology, VNIIMS, ul. Ozyornaya 46, Moscow 119361, Russian Federation
Ключевые слова
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Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2978/