Geodesic
Cohomology in superstring field theory and properties of D-branes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 20-28

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The paper presents recent achievements and open questions in string field theory that are related to the cohomology of BRST operators. We sketch the construction of a nonpolynomial action based on cubic theory that uses the triviality of the BRST operator in the so-called large algebra. We also construct special solutions of equations of motion in superstring field theory and study the cohomology of a modified BRST operator near these solutions. 
@article{TM_2011_272_a2,
     author = {I. Ya. Aref'eva},
     title = {Cohomology in superstring field theory and properties of {D-branes}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {20--28},
     publisher = {mathdoc},
     volume = {272},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2011_272_a2/}
}
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I. Ya. Aref'eva. Cohomology in superstring field theory and properties of D-branes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 20-28. http://geodesic.mathdoc.fr/item/TM_2011_272_a2/