TY - JOUR
T1 - On B-type open–closed Landau–Ginzburg theories defined on Calabi–Yau Stein manifolds
AU - Babalic, E. M.
AU - Doryn, D.
AU - Lazaroiu, C. I.
AU - Tavakol, Mehdi
PY - 2018
Y1 - 2018
N2 - We consider the bulk algebra and topological D-brane category arising from the differential model of the open–closed B-type topological Landau–Ginzburg theory defined by a pair (X,W), where X is a non-compact Calabi–Yau manifold and W is a complex-valued holomorphic function. When X is a Stein manifold (but not restricted to be a domain of holomorphy), we extract equivalent descriptions of the bulk algebra and of the category of topological D-branes which are constructed using only the analytic space associated to X. In particular, we show that the D-brane category is described by projective factorizations defined over the ring of holomorphic functions of X. We also discuss simplifications of the analytic models which arise when X is holomorphically parallelizable and illustrate these in a few classes of examples.
AB - We consider the bulk algebra and topological D-brane category arising from the differential model of the open–closed B-type topological Landau–Ginzburg theory defined by a pair (X,W), where X is a non-compact Calabi–Yau manifold and W is a complex-valued holomorphic function. When X is a Stein manifold (but not restricted to be a domain of holomorphy), we extract equivalent descriptions of the bulk algebra and of the category of topological D-branes which are constructed using only the analytic space associated to X. In particular, we show that the D-brane category is described by projective factorizations defined over the ring of holomorphic functions of X. We also discuss simplifications of the analytic models which arise when X is holomorphically parallelizable and illustrate these in a few classes of examples.
UR - https://hdl.handle.net/1959.7/uws:76218
U2 - 10.1007/s00220-018-3153-5
DO - 10.1007/s00220-018-3153-5
M3 - Article
SN - 0010-3616
VL - 362
SP - 129
EP - 165
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -