Open-closed string correspondence: D-brane decay in curved space

Abstract

This paper analyzes the effect of curved closed string backgrounds on the stability of D-branes within boundary string field theory. We identify the non-local open string background that implements shifts in the closed string background and analyze the tachyonic sector off-shell. The renormalization group flow reveals some characteristic properties, which are expected for a curved background, like the absence of a stable space-filling brane.In 3-dimensions we describe tachyon condensation processes to lower-dimensional branes, including a curved 2-dimensional brane. We argue that this 2-brane is perturbatively stable. This is in agreement with the known maximally symmetric WZW-branes and provides further support to the bulk-boundary factorization approach to open-closed string correspondence.⋆

Vacuum decay in CFT and the Riemann–Hilbert problem

“…Thus the variation of the effective action is also t-independent. 8 A similar two-form was found in Euclidean manifolds with a boundary, in [17,18]. We thank N. Nekrasov for bringing these papers to our attention.…”

Фоновые Конфигурации В Граничной Полевой Теории Струны

“…Мировая поверхность имеет границу, на которой допускаются вставки операторов открытой струны. Согласно предположению, вы-двинутому в работах [6], [7], следует начать с действия…”

“…Во-первых, сле-дует быть осторожным с мерой функционального интегрирования, так как она спо-собна, вообще говоря, породить аномальный член. Такой аномалии нет в случае М. БАУМГАРТЛ свободных бозонов, но в случае теорий с взаимодействием типа модели ВЗВ подоб-ные вклады играют главную роль [7]. Во-вторых, неизвестно заранее, сохраняется ли классическое расщепление в квантовой теории.…”

Backgrounds in boundary string field theory

“…The worldsheet has a boundary on which open string operators will be inserted. In the proposal, that has been put forward in [6,7] one starts with the action…”

“…First, one must be careful with the measure of the path-integral, since this might generally contribute by an anomaly term. For free bosons there is no such anomaly, but for example in WZW models such contributions play a crucial role [7]. The other possible problem arises from the question if the classical splitting holds also in the quantum theory.…”