Black-brane solution for C_2 algebra

TL;DR

This paper presents a new black-brane solution related to the C_2 Lie algebra, expanding the class of known solutions by solving non-linear differential equations with polynomial moduli functions.

Contribution

It introduces a novel black-brane solution associated with the C_2 algebra, characterized by polynomial moduli functions of degrees 3 and 4.

Findings

New black-brane solution for C_2 algebra

Moduli functions H_1 and H_2 are polynomials of degrees 3 and 4

Solution broadens understanding of intersection rules in Ricci-flat spaces

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 C_2 is obtained. The functions H_1 and H_2 for this solution are polynomials of degree 3 and 4.