On the BV formalism of open superstring field theory in the large Hilbert space

0502093 - FZÚ 2019 RIV US eng J - Journal Article
Matsunaga, Hiroaki - Nomura, M.
On the BV formalism of open superstring field theory in the large Hilbert space.
Journal of High Energy Physics. Roč. 2018, č. 5 (2018), s. 1-28, č. článku 020. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR GBP201/12/G028
Institutional support: RVO:68378271
Keywords : String Field Theory * BRST quantization * superstrings and seterotic strings * gauge symmetry
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.833, year: 2018

We construct several BV master actions for open superstring field theory in the large Hilbert space. First, we show that a naive use of the conventional BV approach breaks down at the third order of the antifield number expansion, although it enables us to define a simple “string antibracket” taking the Darboux form as spacetime antibrackets. This fact implies that in the large Hilbert space, “string fields-antifields” should be reassembled to obtain master actions in a simple manner. We determine the assembly of the string anti-fields on the basis of Berkovits’ constrained BV approach, and give solutions to the master equation defined by Dirac antibrackets on the constrained string field-antifield space. It is expected that partial gauge-fixing enables us to relate superstring field theories based on the large and small Hilbert spaces directly: reassembling string fields-antifields is rather natural from this point of view.
Permanent Link: http://hdl.handle.net/11104/0294037