Quantum Open-Closed Homotopy Algebra and String Field Theory - INSPIRE

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Quantum Open-Closed Homotopy Algebra and String Field Theory

Korbinian Munster
(
- Munich U., ASC
)
,
Ivo Sachs
(
- Harvard U. and
- Munich U., ASC
)

Sep, 2011

36 pages

Published in:

Commun.Math.Phys. 321 (2013) 769-801

e-Print:

1109.4101 [hep-th]

DOI:

10.1007/s00220-012-1654-1

Report number:

LMU-ASC-52-11

View in:

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Abstract: (Springer)

We reformulate the algebraic structure of Zwiebach’s quantum open-closed string field theory in terms of homotopy algebras. We call it the quantum open-closed homotopy algebra (QOCHA) which is the generalization of the open-closed homotopy algebra (OCHA) of Kajiura and Stasheff. The homotopy formulation reveals new insights about deformations of open string field theory by closed string backgrounds. In particular, deformations by Maurer Cartan elements of the quantum closed homotopy algebra define consistent quantum open string field theories.

Note:

36 pages, fixed typos and small clarifications added

field theory: string
string: open
string: closed
homotopy
quantum algebra
deformation

References(33)

Figures(0)

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