The Spacetime Life of a Non-BPS D-particle

Abstract

We investigate the classical geometry generated by a stable non-BPS D-particle. We consider the boundary state of a stable non-BPS D-particle in the covariant formalism in the type IIB theory orbifolded by (-1)^{F_L} I_4. We calculate the scattering amplitude between two D-particles in the non-compact and compact orbifold and analyse the short and long distance behaviour. At short distances we find no force at order $v^2$ for any radius, and at the critical radius we find a BPS-like behaviour up to $v^4$ corrections for long and short distances. Projecting the boundary state on the massless states of the orbifold closed string spectrum we obtain the large distance behaviour of the classical solution describing this non-BPS D-particle in the non-compact and compact cases. By using the non-BPS D-particle as a probe of the background geometry of another non-BPS D-particle, we recover the no-force condition at the critical radius and the $v^2$ behaviour of the probe. Moreover, assuming that the no-force persists for the complete geometry we derive part of the classical solution for the non-BPS D-particle.

arXiv comment36 pages, LaTeX, no figures; amplitude for moving particles and analysis of short and long distance interactions included, some assumptions clarified, references added

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• Implications of a Stochastic Microscopic Finsler Cosmology
• Supergravity Description of Non-BPS Branes
• COSMOS-$e^{\prime }$- soft Higgsotic attractors
• The Geometry of Fractional Branes
• D-Foam Phenomenology: Dark Energy, the Velocity of Light and a Possible D-Void
• Selection Rules and RR Couplings on Non-BPS Branes
• All order ${\alpha }^{\prime }$ higher derivative corrections to non-BPS branes of type IIB Super string theory
• On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
• General massive one-loop off-shell three-point functions
• On RR Couplings and Bulk Singularity Structures of Non-BPS Branes
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
• Stacking non-BPS D-Branes
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• D-Flation
• The enhancon mechanism for fractional branes
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• Forces between stable non-BPS branes
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• On Special Limit of Non-Supersymmetric Effective Actions of type II String theory