D-brane annihilation, renormalization-group flow and non-linear σ-model for the ADHM construction
نویسنده
چکیده
In this note D9and anti-D9-brane annihilation in type I string theory is probed by a D1-brane. We consider the covariant Green-Schwarz or twistor formulation of the probe theory. We expect the theory to be κ-invariant after the annihilation is completed. Conditions of the κ-invariance of the theory impose constraints on the background tachyon field. Solutions to the constraints define tachyon values which correspond to type I D5-branes as remnants of the annihilation. As a byproduct we get a theory which lies in the same universality class as the non-linear σ-model for the Atiyah-Drinfeld-Hitchin-Manin construction.
منابع مشابه
D - brane annihilation , renorm - group flow and non - linear σ - model for the ADHM construction
In this note the D9-and anti-D9-brane annihilation in the type I string theory is probed by the D1-brane. We consider covariant Green-Schwarz formulation of the probe theory. For it to be non-anomalous it is necessary to consider the number of the D9-branes to be by 32 bigger than that of anti-D9-branes. Also for the anomaly cancellation it is necessary to insist on the κ-invariance of the D1-b...
متن کاملADHM is Tachyon Condensation
We completely realize the ADHM construction of instantons in D-brane language of tachyon condensations. Every step of the construction is given a physical interpretation in string theory, in a boundary state formalism valid all order in α. Accordingly, equivalence between Yang-Mills configurations on D4-branes and D0-branes inside the D4-branes is proven, which shows that small instanton config...
متن کاملRenormalization Group Flow in BRST Invariant Open String σ-Model
The renormalization group flow in the theory space of a BRST invariant string σ-model is investigated. For the open bosonic string the non-perturbative off-shell effective action and its gauge symmetry properties are determined from β-functions defined by the local Weyl anomaly. The interactions are shown to explicitly break the free theory BRST invariance generating new non-linear gauge symmet...
متن کاملRenormalization Group Flows for Brane Couplings
Field theories in the presence of branes encounter localized divergences that renormalize brane couplings. The sources of these brane-localized divergences are understood as arising either from broken translation invariance, or from short distance singularities as the brane thickness vanishes. While the former are generated only by quantum corrections, the latter can appear even at the classica...
متن کاملSupertubes in Matrix model and DBI action
We show the equivalence between the supertube solutions with an arbitrary cross section in two different actions, the DBI action for the D2-brane and the matrix model action for the D0-branes. More precisely, the equivalence between the supertubes in the D2-brane picture and the D0-brane picture is shown in the boundary state formalism which is valid for all order in α′. This is an application ...
متن کامل