Kaluza-Klein on the Brane
G. Papadopoulos, P.K. Townsend

TL;DR
This paper explores the existence of Kaluza-Klein modes on branes within M-theory, constructing supergravity solutions for specific p-branes and demonstrating the absence for p=8, shedding light on brane dynamics and supersymmetry.
Contribution
It provides explicit supergravity solutions for p=1,4 branes with Kaluza-Klein modes and proves the non-existence for p=8, advancing understanding of brane configurations in M-theory.
Findings
Solutions found for p=1 and p=4 branes with KK modes.
No solutions exist for p=8 branes with KK modes.
Insights into supersymmetry preservation in brane configurations.
Abstract
The M-theory interpretation of certain D=10 IIA p-branes implies the existence of worldvolume Kaluza-Klein modes which are expected to appear as 0-brane/p-brane bound states preserving 1/4 of the spacetime supersymmetry. We construct the corresponding solutions of the effective supergravity theory for , and show that no such solution exists for .
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