Holomorphic potentials for graded D-branes

Calin Iuliu Lazaroiu, Radu Roiban

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We discuss gauge-fixing, propagators and effective potentials for topological A-brane composites in Calabi-Yau compactifications. This allows for the construction of a holomorphic potential describing the low-energy dynamics of such systems, which generalizes the superpotentials known from the ungraded case. Upon using results of homotopy algebra, we show that the string field and low energy descriptions of the moduli space agree, and that the deformations of such backgrounds are described by a certain extended version of 'off-shell Massey products' associated with flat graded superbundles. As examples, we consider a class of graded D-brane pairs of unit relative grade. Upon computing the holomorphic potential, we study their moduli space of composites. In particular, we give a general proof that such pairs can form acyclic condensates, and, for a particular case, show that another branch of their moduli space describes condensation of a two-form.

Original languageEnglish (US)
Pages (from-to)777-817
Number of pages41
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 1 2002

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


Dive into the research topics of 'Holomorphic potentials for graded D-branes'. Together they form a unique fingerprint.

Cite this