Black-brane solution for A_3 algebra

TL;DR

This paper presents a new black-brane solution associated with the A_3 Lie algebra, characterized by polynomial moduli functions, expanding the class of known solutions in higher-dimensional gravity models.

Contribution

It introduces a novel A_3 algebra-based black-brane solution with polynomial moduli functions, extending previous intersection rule frameworks.

Findings

Derived explicit polynomial functions H_1, H_2, H_3 for the A_3 solution.

Constructed an example with three 3-branes in a 12-dimensional model.

Demonstrated the solution's consistency with boundary conditions and intersection rules.

Abstract

Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear differential equations with certain boundary conditions imposed. A new solution with intersections corresponding to the Lie algebra A_3 is obtained. The functions H_1, H_2 and H_3 for this solution are polynomials of degree 3, 4 and 3, correspondingly. An example of A_3-solution with three 3-branes in 12-dimensional model (suggested by N. Khviengia et al) is presented.