URL="l-susy.htm"

Bibliography in supersymmetry

Collected by Steven Duplij
October 1996


  1. apf/gom K. M. Apfeldorf and J. Gomis, Superconformal theories from superparticle mechanics , Texas preprint UTTG-93-001, Austin, 1993.
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  3. bar/man/fro/sch A. M. Baranov, Yu. I. Manin, I. V. Frolov, et al., A superanalog of the S elberg trace formula and multiloop contributions for fermionic strings , Comm. Math. Phys. 111 (1987), 373-392.
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  5. bar/sch2 -----, On the multiloop contribution to the string theory , Int. J. Mod. Phys. A2 (1987), 1773.
  6. bar/fro/sch1 M. A. Baranov, I. V. Frolov, and A. S. Schwarz, Geometry of superconformal field theories in two dimensions , Theor. Math. Phys. 70 (1987), 92-103.
  7. bar/fro/sch2 -----, Geometry of the superconformal moduli space , Theor. Math. Phys. 79 (1989), 241-252.
  8. bar/bru1 C. Bartocci and U. Bruzzo, Some remarks on the differential-\-geometric approach to super\-manifolds , J. Geom. Phys. 4 (1987), 391-404.
  9. bar/bru2 -----, Super line bundles , Lett. Math. Phys. 17 (1989), 263-274.
  10. bar/bru/pes C. Bartocci, U. Bruzzo, V. G. Pestov, et al., On an axiomatic approach to supermanifolds , Soviet Math. Dokl. 321 (1991), 649-652.
  11. bar/bru/her C. Bartocci, U. Bruzzo, and D. Hernandez Ruiperez, The Geometry of Supermanifolds , Kluwer, Dordrecht, 1991.
  12. bat1 M. Batchelor, Two approaches to supermanifolds , Trans. Amer. Math. Soc. 258 (1980), 257-270.
  13. bat2 -----, Graded manifolds and supermanifolds , in Mathematical Aspects of Superspace, (C. J. S. Clarke, A. Rosenblum, and H. J. Seifert, eds.), Reidel, Dordrecht, 1984, p. 91.
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  18. bos H. Boseck, Classical L ie supergroups , Math. Nachr. 148 (1990), 81-115.
  19. boy/git C. P. Boyer and S. Gitler, The theory of G ^ \infty -supermanifolds , Trans. Amer. Math. Soc. 285 (1984), 241-267.
  20. bru U. Bruzzo, Geometry of rigid supersymmetry , Hadronic J. 9 (1986), 25-30.
  21. bru/cia1 U. Bruzzo and R. Cianci, Mathematical theory of super fibre bundles , Class. Q. Grav. 1 (1984), 213-226.
  22. bru/cia2 -----, On the structure of superfields in a field theory on a supermanifold , Lett. Math. Phys. 11 (1986), 21-26.
  23. bru/per1 U. Bruzzo and J. A. Dominguez P\'erez, Line bundles over families of (super) R iemann surfaces. I : T he nongraded case , J. Geom. Phys. 10 (1993), 251-267.
  24. bru/per2 -----, Line bundles over families of (super) R iemann surfaces. I : T he graded case , J. Geom. Phys. 10 (1993), 269-286.
  25. bry1 P. Bryant, De W itt supermanifolds and infinite-dimensional ground rings , J. London Math. Soc. 39 (1989), 347-368.
  26. bry2 -----, Global properties of supermanifolds and their bodies , Math. Proc. Cambridge Phil. Soc. 107 (1990), 501-523.
  27. car J. L. Carr, Spin structures and superworldsheet topology , Class. Q. Grav. 6 (1989), 125-140.
  28. cat/rei/teo R. Catenacci, C. Reina, and P. Teofilatto, On the body of supermanifolds , J. Math. Phys. 26 (1985), 671-674.
  29. cha/jag R. Chakrabarti and R. Jagannathan, On the representations of gl_ p,q (2) , gl_ p,q (1|1) and noncommutative spaces , J. Phys. A24 (1991), 5863-5701.
  30. cha/phi/roz D. Chang, I. Phillips, and I. Rozansky, r -matrix approach to quantum superalgebras su_q(m|n) , J. Math. Phys. 33 (1992), 3710-3715.
  31. cho S. Cho, The superconformal structures of super R iemann surfaces , Progr. Theor. Phys. 86 (1991), 959-962.
  32. cia2 R. Cianci, Supermanifolds and automorphisms of super L ie groups , J. Math. Phys. 25 (1984), 451-455.
  33. cia1 -----, Infinitely generated supermanifolds, super L ie groups and homogeneous supermanifolds , in Symmetries in Science, Plenum Press, New York, 1989, 147-162.
  34. cianci -----, Introduction to Supermanifolds , Bibliopolis, Naples, 1990.
  35. coh J. D. Cohn, N=2 super R iemann surfaces , Nucl. Phys. B284 (1987), 349-364.
  36. coh1 -----, Modular geometry of superconformal field theory , Nucl. Phys. B306 (1988), 239-270.
  37. coq/jad/kas R. Coquereaux, A. Jadczyk, and D. Kastler, Differential and integral geometry of G rassman algebras , Rev. Math. Phys. 3 (1991), 63-99.
  38. cra/rab L. Crane and J. M. Rabin, Super R iemann surfaces: uniformization and T eichm u ller theory , Comm. Math. Phys. 113 (1988), 601-623.
  39. dho/pho3 E. D' H oker and D. H. Phong, Multiloop amplitudes for the bosonic P olyakov string , Nucl. Phys. B269 (1986), 205.
  40. dho/pho4 -----, On determinants of L aplacians on R iemann surfaces , Comm. Math. Phys. 104 (1986), 537.
  41. dho/pho1 -----, A geometry of string perturbation theory , Rev. Mod. Phys. 60 (1988), 917-1065.
  42. dho/pho2 -----, Superstrings, super R iemann surfaces and supermoduli space , Univ. California preprint UCLA/89/TEP/32, Los Angeles, 1989.
  43. dis/nel J. Distler and P. Nelson, Semirigid supergravity , Phys. Rev. Lett. 66 (1991), 1955-1959.
  44. dol/ros/sch S. N. Dolgikh, A. A. Rosly, and A. S. Schwarz, Supermoduli spaces , Comm. Math. Phys. 135 (1990), 91-100.
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  46. eas/leb M. Eastwood and C. Le B run, Thickening and supersymmetric extensions of complex manifolds , Amer. J. Math. 108 (1986), 1177-1192.
  47. fal/rei1 G. Falqui and C. Reina, A note on global structure of supermoduli spaces , Comm. Math. Phys. 128 (1990), 247-261.
  48. far/kra H. Farkas and I. Kra, Riemann Surfaces , Springer-Verlag, Berlin, 1980.
  49. fle/sun H. Flenner and D. Sundararaman, Analytic geometry of complex superspaces , Trans. Amer. Math. Soc. 330 (1992), 1-39.
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  52. gid/nel3 S. B. Giddings and P. Nelson, Torsion constraints and super R iemann surfaces , Phys. Rev. Lett. 59 (1987), 2619-2622.
  53. gid/nel1 -----, The geometry of super R iemann surfaces , Comm. Math. Phys. 116 (1988), 607-634.
  54. gid/nel2 -----, Line bundles on super R iemann surfaces , Comm. Math. Phys. 118 (1988), 289-302.
  55. gie1 F. Gieres, Geometry of supersymmetric gauge theories , Lect. Notes Phys. 302 (1988), 1-189.
  56. gov/nel/rey S. Govindarajan, P. Nelson, and S.-J. Rey, Nucl. Phys. B365 (1991), 633-652.
  57. gov/nel/won S. Govindarajan, P. Nelson, and E. Wong, Semirigid geometry , Comm. Math. Phys. 147 (1992), 253-275.
  58. gra/teo M. Grasso and P. Teofilatto, Gauge theories, flat superforms and reduction of super fiber bundles , Rep. Math. Phys. 25 (1987), 53-71.
  59. gre/sch/wit M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory , Vol. 1,2, Cambridge Univ. Press, Cambridge, 1987.
  60. gro C. Grosche, Seilberg supertrace formula for super R iemann surfaces, analytic properties of S elberg super Z eta-functions and multiloop contributions for the fermionic string , Comm. Math. Phys. 133 (1990), 433-486.
  61. has/wel C. Haske and R. O. Well, Serre duality on complex supermanifolds , Duke Math. J. 54 (1987), 493-500.
  62. hod1 L. Hodgkin, A direct calculation of super- T eichm u ller space , Lett. Math. Phys. 14 (1987), 47-53.
  63. hod3 -----, On metrics and super- R iemann surfaces , Lett. Math. Phys. 14 (1987), 177-184.
  64. hod2 -----, Super T eichm u ller spaces: punctures and elliptic points , Lett. Math. Phys. 15 (1988), 159-163.
  65. hod4 -----, Problems of fields on super riemann surfaces , J. Geom. Phys. 6 (1989), 333-338.
  66. hog5 -----, Super- B eltrami differentials , Class. Q. Grav. 6 (1989), 1725-1738.
  67. huf A. Huffmann, On representations of super coalgebras , King's College Preprint KCL-TH-94-3, London, 1994, hep-th-9403100.
  68. hus/nie V. Hussin and L. M. Nieto, Supergroups factorizations through matrix realization , J. Math. Phys. 34 (1993), 4199-4220.
  69. ino/mae A. Inoue and Y. Maeda, Foundations of calculus on super euclidean space r^ m|n based on a fr\' e chet-grassmann algebra , Kodai Math. J. 14 (1991), 72-112.
  70. iva1 V. D. Ivashchuk, Theor. Math. Phys. 79 (1989), 30-40.
  71. iva2 -----, Invertibility of elements in infinite-dimensional G rassmann- B anach algebras , Theor. Math. Phys. 84 (1990), 13-22.
  72. jad/pil A. Jadczyk and K. Pilch, Superspaces and supersymmetries , Comm. Math. Phys. 78 (1981), 373-390.
  73. kach1 H. Kachkachi, N =1 , 2d-induced P olyakov supergravity on a super R iemann surface , Univ. Bordeaux preprint, Gradignan, 80 , 1994, hep-th-9406014.
  74. kach/kac1 H. Kachkachi and M. Kachkachi, Superconformal structures and holomorphic 1/2-superdifferentials on N =1 super R iemann surfaces , Mod. Phys. Lett. 8 (1993), 3643-3658.
  75. kaku1 M. Kaku, Introduction to Superstrings , Springer-Verlag, Berlin, 1988.
  76. kaku2 -----, String Field Theory, Conformal Fields and Topology , Springer-Verlag, Berlin, 1991.
  77. kan/myu H. Kanno and Y. Myung, Torsion constraints of (2,0) supergravity and line integrals on N=2 super R iemann surfaces , Phys. Rev. 40 (1989), 1974-1970.
  78. kawakubo K. Kawakubo, The Theory of Transformation Groups , Clarendon Press, New York, 1991.
  79. kho/tol S. M. Khoroshkin and V. N.Tolstoy, Universal r -matrix for quantized (super)algebras , Comm. Math. Phys. 141 (1991), 599.
  80. khr3 A. Yu. Khrennikov, Superanalysis: theory of generalized functions and pseudo-differential operators , Theor. Math. Phys. 72 (1987), 24-34.
  81. khr2 -----, Functional superanalysis , Russian Math. Surv. 43 (1988), 87-114.
  82. khr1 -----, Pseudotopological commutative superalgebras with nilpotent ghosts , Math. Notes 48 (1990), 114-122.
  83. kob/nag Y. Kobayashi and S. Nagamachi, The chain rule of differentiation in superspace , Lett. Math. Phys. 11 (1986), 293-297.
  84. kon/sai/tak G. Konisi, T. Saito, and W. Takahasi, Super differential forms on super riemann surfaces , Progr. Theor. Phys. 92 (1994), 889-903.
  85. laz/pom S. Lazzarini and J.-F. Pommaret, Lie pseudogroups and differential sequences , J. Geom. Phys. 10 (1993), 47-91.
  86. leb/poo/wel C. Le B run, Y. S. Poon, and R. O. Wells, Projective embeddings of complex supermanifolds , Comm. Math. Phys. 126 (1990), 433-452.
  87. leb/rot C. Le Brun and M. Rothstein, Moduli of super Riemann surfaces , Comm. Math. Phys. 117 (1988), 159-176.
  88. leites D. Leites, Supermanifold Theory , Math. Methods Sci. Invest., Petrozavodsk, 1983.
  89. lei2 -----, Selected problems of supermanifold theory , Duke Math. J. 54 (1987), 649-656.
  90. semsmf Seminar on Supermanifolds , (D. Leites, ed.), Arterisque, Stockholm, 1989.
  91. lei/ser D. Leites and V. Serganova, Models of representations of some classical supergroups , Math. Scandinavica 68 (1991), 131-147.
  92. lei1 D. A. Leites, Introduction to the theory of supermanifolds , Russian Math. Surv. 35 (1980), 1-64.
  93. levn3 A. M. Levin, Integration on (1|1) -dimensional supermanifolds , Russian Math. Surv. 41 (1986), 189-190.
  94. levn1 -----, Supersymmetric elliptic curves , Func. Anal. Appl. 21 (1987), 83-84.
  95. levn2 -----, Supersymmetric elliptic and modular functions , Func. Anal. Appl. 22 (1988), 71-71.
  96. lin/sch/gou J.R. Links, M. Scheunert, and M. D. Gould, Diagonalization of the braid generator on unitary irreps of quantum supergroups , Lett. Math. Phys. 32 (1994), 231-240.
  97. man2 Yu. Manin, Multiparametric quantum deformation of the general linear supergroup , Comm. Math. Phys. 123 (1989), 123-135.
  98. man1 Yu. I. Manin, New dimensions in geometry , Russian Math. Surv. 39 (1984), 51-83.
  99. man21 -----, Neveu-schwarz scheaves and differential equations for M amford superforms , J. Geom. Phys. 5 (1988), 161-181.
  100. manin2 -----, Topics in Noncommutative Differential Geometry , Princeton University Press, Princeton, 1991.
  101. nor N. Mankoc-Borstnik, Spinor and vector representations in four-dimensional grassmann space , J. Math. Phys. 34 (1993), 3731-3745.
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  107. nel2 -----, Introduction to supermanifolds , Int. J. Mod. Phys. A3 (1988), 585-590.
  108. nel -----, Lectures on supermanifolds and strings , in Particles, Strings and Supernovae, (A. Jevicki and C.-I. Tan, eds.), World Sci., Teaneck, 1989, 997-1073.
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  111. pes4 -----, On a 'super' version of L ie's third fundamental theorem , Lett. Math. Phys. 18 (1989), 27-33.
  112. pes7 -----, Ground algebras for superanalysis , Rev. Math. Phys. 29 (1991), 275-287.
  113. pes6 -----, A contribution to nonstandard superanalysis , J. Math. Phys. 33 (1992), 3263-3273.
  114. pes5 -----, Soul expansion of G ^ infty superfunctions , J. Math. Phys. 34 (1993), 3316-3323.
  115. pes3 V. G. Pestov, Nonstandard hulls of normed G rassmannian algebras and their application in superanalysis , Soviet Math. Dokl. 317 (1991), 565-569.
  116. pes2 -----, On enlargability of infinite-dimensional L ie superalgebras , J. Geom. Phys. 10 (1993), 295-314.
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  119. rab4 -----, Supermanifold cohomology and the W ess- Z umino term in the covariant superstring action , Comm. Math. Phys. 108 (1987), 375-389.
  120. rab1 -----, Supermanifolds and super R iemann surfaces , in Super Field Theories, (H. C. Lee, V. Elias, G. Kunstatter, et al., eds.), Plenum Press, New York, 1987, 557-569.
  121. rab3 -----, Status of the algebraic approach to super R iemann surfaces , in Physics and Geometry, (L.-L. Chau and W. Nahm, eds.), Plenum Press, New York, 1991, 653-668.
  122. rab2 -----, Super elliptic curves , San Diego Preprint, 1993.
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  134. ros/sch/vor2 -----, Superconformal geometry and string theory , Comm. Math. Phys. 120 (1989), 437-450.
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  144. schw2 -----, Fermionic string and universal moduli space , Nucl. Phys. B317 (1989), 323-343.
  145. schw3 -----, Superanalogs of symplectic and contact geometry and their applications to quantum field theory , UC Davis preprint-94-06-01, HEP-TH-9406120, 1994.
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  151. smo/sha2 -----, Representation of solutions of linear evolution superdifferential equations of second order by functional integral , Soviet Math. Dokl. 40 (1990), 135-139.
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  153. teo3 -----, Line bundles and divisors on a super R iemann surface , Lett. Math. Phys. 14 (1987), 271-277.
  154. teo1 -----, Discrete supergroups and super R iemann surfaces , J. Math. Phys. 29 (1988), 2389-2396.
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