Hori, Kentaro; Walcher, Johannes \(D\)-brane categories for orientifolds-the Landau-Ginzburg case. (English) Zbl 1246.81337 J. High Energy Phys. 2008, No. 4, Paper No. 030, 36 p. (2008). Summary: We construct and classify categories of \(D\)-branes in orientifolds based on Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet parity action on the matrix factorizations plays the key role. This provides all the requisite data for an orientifold construction after embedding in string theory. One of our main results is a computation of topological field theory correlators on unoriented worldsheets, generalizing the formulas of Vafa and Kapustin-Li for oriented worldsheets, as well as the extension of these results to orbifolds. We also find a doubling of Knörrer periodicity in the orientifold context. Cited in 1 ReviewCited in 13 Documents MSC: 81T45 Topological field theories in quantum mechanics 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 18E30 Derived categories, triangulated categories (MSC2010) Keywords:worldsheet parity action; orientifolds; Landau-Ginzburg models PDFBibTeX XMLCite \textit{K. Hori} and \textit{J. Walcher}, J. High Energy Phys. 2008, No. 4, Paper No. 030, 36 p. (2008; Zbl 1246.81337) Full Text: DOI arXiv References: [2] doi:10.1016/0370-2693(90)91894-H · doi:10.1016/0370-2693(90)91894-H [3] doi:10.1016/0550-3213(91)90271-X · doi:10.1016/0550-3213(91)90271-X [4] doi:10.1016/0550-3213(89)90279-4 · doi:10.1016/0550-3213(89)90279-4 [5] doi:10.1016/0370-2693(89)90209-8 · doi:10.1016/0370-2693(89)90209-8 [6] doi:10.1103/PhysRevD.54.1667 · doi:10.1103/PhysRevD.54.1667 [7] doi:10.1142/S0217732389002331 · doi:10.1142/S0217732389002331 [8] doi:10.1103/PhysRevLett.75.4724 · Zbl 1020.81797 · doi:10.1103/PhysRevLett.75.4724 [11] doi:10.1063/1.1374448 · Zbl 1036.81027 · doi:10.1063/1.1374448 [12] doi:10.1016/S0550-3213(02)00744-7 · Zbl 0999.81079 · doi:10.1016/S0550-3213(02)00744-7 [13] doi:10.1016/j.nuclphysb.2003.11.026 · Zbl 1097.81736 · doi:10.1016/j.nuclphysb.2003.11.026 [14] doi:10.1016/S0550-3213(04)00334-7 · doi:10.1016/S0550-3213(04)00334-7 [15] doi:10.1016/j.nuclphysb.2005.03.018 · Zbl 1151.81384 · doi:10.1016/j.nuclphysb.2005.03.018 [33] doi:10.1016/j.nuclphysb.2006.12.009 · Zbl 1116.81325 · doi:10.1016/j.nuclphysb.2006.12.009 [35] doi:10.1063/1.2007590 · Zbl 1110.81152 · doi:10.1063/1.2007590 [40] doi:10.1142/S0217732391000324 · Zbl 1020.81886 · doi:10.1142/S0217732391000324 [43] doi:10.1016/S0550-3213(98)00468-4 · Zbl 0958.81106 · doi:10.1016/S0550-3213(98)00468-4 [44] doi:10.1016/S0550-3213(00)00487-9 · Zbl 1060.81578 · doi:10.1016/S0550-3213(00)00487-9 [45] doi:10.1016/S0550-3213(00)00779-3 · Zbl 1046.81538 · doi:10.1016/S0550-3213(00)00779-3 [49] doi:10.1103/PhysRevD.63.106004 · doi:10.1103/PhysRevD.63.106004 [54] doi:10.1007/BF01405095 · Zbl 0617.14033 · doi:10.1007/BF01405095 [57] doi:10.1093/qmath/17.1.367 · Zbl 0146.19101 · doi:10.1093/qmath/17.1.367 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.