Fetching the paper…
Reading the bibliography…
These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.
A. Neveu, J. H. Schwarz, and C. B. Thorn, “Reformulation Of The Dual Pion Model,” Phys. Lett. 35B
1971
Earlier work this paper cites.
L. Brink, D. Olive, C. Rebbi, and J. Scherk, “The Missing Gauge Conditions For The Dual Fermion Emission Vertex And Their Consequences,” Phys. Lett. 45B
1973
Earlier work this paper cites.
V. Kac, “Lie Superalgebras,” Adv. Math. 26
1977
Earlier work this paper cites.
K. Gawedzki, “Supersymmetries – Mathematics Of Supergeometry,” Ann. Inst. H. Poincaré, Sect. A 27
1977
Earlier work this paper cites.
J. Bernstein and D. A. Leites, “Integral Forms And The Stokes Formula On Supermanifolds,” Funct. Anal. Appl. 11
1977
Earlier work this paper cites.
F. A. Berezin, “Supermanifolds,” ITEP preprint (1979)
1979
Earlier work this paper cites.
M. Bachelor, “The Structure Of Supermanifolds,” Trans. Am. Math. Soc. 253
1979
Earlier work this paper cites.
D. Leites, “Introduction To The Theory Of Supermanifolds,” Russian Math Surveys 35
1980
Earlier work this paper cites.
M. A. Baranov and A. S. Schwarz, “Cohomology Of Supermanifolds,” Functional Analysis and its Applications 18
1984
Earlier work this paper cites.
T. Voronov and A. V. Zorich, “Integral Transformations Of Pseudodifferential Forms,” Usp. Mat. Nauk. 41
1986
Cited alongside, same era.
D. Friedan, E. Martinec, and S. Shenker, “Covariant Quantization Of Superstrings,” Phys. Lett. B160
1986
Cited alongside, same era.
G. Moore, P. Nelson, and J. Polchinski, “Strings And Supermoduli,” Phys. Lett. 169B
1986
Cited alongside, same era.
F. A. Berezin, Introduction To Superanalysis
1987
Cited alongside, same era.
E. Verlinde and H. Verlinde, “Multiloop Calculations In Covariant Superstring Theory,” Phys. Lett. B192
1987
Cited alongside, same era.
Yu. I. Manin, Gauge Field Theory And Complex Geometry
1988
Cited alongside, same era.
L. Alvarez-Gaumé, C. Gomez, P. C. Nelson, G. Sierra, and C. Vafa, “Fermionic Strings In The Operator Formalism,” Nucl. Phys. B311
1988
Later among the works it cites.
P. C. Nelson, “Lectures On Supermanifolds And Strings,” in Particles, Strings, and Supernovae
1989
Later among the works it cites.
A. A. Rosly, A. S. Schwarz, and A. A. Voronov, “Superconformal Geometry And String Theory,” Commun. Math. Phys. 120
1989
Later among the works it cites.
B. DeWitt, Supermanifolds
1992
Later among the works it cites.
A. Belopolsky, “De Rham Cohomology Of The Supermanifolds And Superstring BRST Cohomology,” Phys. Lett. B403
1997
Later among the works it cites.
P. Deligne and J. W. Morgan, “Notes On Supersymmetry (following Joseph Bernstein),” in P. Deligne et. al., eds., Quantum Fields And Strings: A Course For Mathematicians, Vol. 1
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. Voronov and A. V. Zorich, “Cohomologies Of Supermanifolds And Integral Geometry,” Doklady Akad. Nauk SSR 298
1988
Cited alongside, same era.
E. D’Hoker and D. H. Phong, “The Geometry Of String Perturbation Theory,” Rev. Mod. Phys. 60
1988
Cited alongside, same era.
T. Voronov, “Geometric Integration Theory On Supermanifolds,” Soviet Scientific Reviews, Section C: Mathematical Physics, vol. 9, part 1
Cited in the paper.
P. A. Grassi and M. Marescotti, “Integration Of Superforms And Super-Thom Class,” arXiv:0712.2600
Cited in the paper.
1999
Later among the works it cites.
A. Rogers, Supermanifolds: Theory And Applications
2007
Later among the works it cites.