The polarization of F1 strings into D2 branes: "Aut Caesar aut nihil"

Abstract

We give matrix and supergravity descriptions of type IIA F-strings polarizing into cylindrical D2 branes. When a RR four-form field strength F_4 is turned on in a supersymmetric fashion (with 4 supercharges), a complete analysis of the solutions reveals the existence of a moduli space of F1 -> D2 polarizations (Caesar) for some fractional strengths of the perturbation, and of no polarization whatsoever (nihil) for all other strengths of the perturbation. This is a very intriguing phenomenon, whose physical implications we can only speculate about. In the matrix description of the polarization we use the Non-Abelian Born-Infeld action in an extreme regime, where the commutators of the fields are much larger than 1. The validity of the results we obtain, provides a direct confirmation of this action, although is does not confirm or disprove the symmetrized trace prescription.

14 pages

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• Dielectric Fundamental Strings in Matrix String Theory
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Geometry of open strings ending on backreacting D3-branes
• Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes
• Exact N=2 Supergravity Solutions With Polarized Branes