Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4

TL;DR

This paper constructs and analyzes globally well-defined half-BPS solutions in M-theory that are asymptotic to AdS_7 x S^4, providing insights into their physical properties and dual CFT defects.

Contribution

It explicitly constructs globally regular solutions with specific symmetries in M-theory and interprets their physical significance as duals to 1+1-dimensional defects in 6D CFTs.

Findings

Explicit global solutions satisfying regularity conditions

Physical interpretation as duals to 1+1D defects in 6D CFTs

Analysis of solutions' properties and asymptotic behavior

Abstract

General local half-BPS solutions in M-theory, which have $SO(2,2)\times SO(4)\times SO(4)$ symmetry and are asymptotic to $AdS_{7}\times S^{4}$, were constructed in exact form by the authors in [arXiv:0806.0605]. In the present paper, suitable regularity conditions are imposed on these local solutions, and corresponding globally well-defined solutions are explicitly constructed. The physical properties of these solutions are analyzed, and interpreted in terms of the gravity duals to extended 1+1-dimensional half-BPS defects in the 6-dimensional CFT with maximal supersymmetry.