Extended Objects from Warped Compactifications of M Theory

TL;DR

This paper investigates the spectrum and properties of extended objects arising from warped M-theory compactifications, revealing their classical behavior, quantization regimes, and potential implications for bound states and scattering processes.

Contribution

It introduces a detailed analysis of wrapped branes in warped M-theory, including their mass behavior, quantization, and spectrum, extending understanding of nonperturbative states in such backgrounds.

Findings

Many states behave classically with mass proportional to size.

Spectrum of excitations can be obtained via warped Kaluza-Klein reduction.

Exponential growth in the number of bound states as a function of energy.

Abstract

We study the massive spectrum of fully wrapped branes in warped M-theory compactifications, including regimes where these states are parametrically lighter than the Planck scale or string scale. We show that many such states behave classically as extended objects in the noncompact directions in the sense that their mass grows with their size as measured along the Poincare slices making up the noncompact dimensions. On the other hand these states can be quantized in a nontrivial regime: in particular their spectrum of excitations in a limited regime can be obtained by a warped Kaluza-Klein reduction from ten dimensions. We briefly discuss scattering processes and loop effects involving these states, and also note the possibility of an exponential growth in the number of bound states of these objects as a function of energy.