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PD Dr. Chandrashekar Devchand

Publications

orcid: 0000-0002-9090-565X

  1. Hyperkähler cones and instantons on quaternionic Kähler manifolds
    (with Massimiliano Pontecorvo and Andrea Spiro)
    arXiv:2002.00933 [math.DG]     [abstract, pdf]
    Annals of Global Analysis and Geometry (2020), DOI 10.1007/s10455-020-09726-5 [pdf-file]

  2. Instantons on hyperkähler manifolds
    (with Massimiliano Pontecorvo and Andrea Spiro)
    arXiv:1812.06498 [math.DG]     [abstract, pdf]
    Annali di Matematica Pura ed Applicata (1923 -) 199 (2020) 533-561 [pdf-file]

  3. On pseudo-hyperkähler prepotentials
    (with Andrea Spiro)
    arXiv:1502.07588 [math.DG]     [abstract, pdf]
    Journal of Mathematical Physics 57 (2016) 102501

  4. Oxidation of self-duality to 12 dimensions and beyond
    arXiv:1212.6270[hep-th]     [abstract, pdf, ps]
    Communications in Mathematical Physics 329 (2014) 461-482 [pdf-file]

  5. Matryoshka of special democratic forms
    (with Jean Nuyts and Gregor Weingart)
    arXiv:0812.3012[math-ph] [abstract, pdf, ps]
    Communications in Mathematical Physics 293 (2010) 545-562 [pdf-file]
    [Mathematical Review]

  6. Ternutator Identities
    (with David Fairlie, Jean Nuyts and Gregor Weingart)
    arXiv:0908.1738 [abstract, pdf, ps]
    Journal of Physics A: Mathematical and Theoretical 42 (2009) 475209 [pdf-file]

  7. Special Graphs
    (with Jean Nuyts and Gregor Weingart)
    arXiv:math.DG/0604558 [abstract, pdf, ps]
    International Journal of Geometric Methods in Modern Physics 3 (2006) 1011-1018

  8. Polyvector Super-Poincaré Algebras
    (with Dmitri V. Alekseevsky, Vicente Cortés and Antoine Van Proeyen)
    arXiv:hep-th/0311107 [abstract, pdf, ps]
    Communications in Mathematical Physics 253 (2005) 385-422

  9. Yang-Mills connections over manifolds with Grassmann structure
    (with Dmitri V. Alekseevsky and Vicente Cortés)
    arXiv:math.DG/0209124 [abstract, pdf, ps]
    Journal of Mathematical Physics 44 (2003) 6047-6076 [pdf-file]

  10. Partially-flat gauge fields on manifolds of dimension greater than four
    (with Dmitri V. Alekseevsky and Vicente Cortés)
    arXiv:hep-th/0205030 [abstract, pdf, ps]
    The Electronic Library of Mathematics, Proceedings Collection

  11. Flows on quaternionic-Kähler and very special real manifolds
    (with Dmitri V. Alekseevsky, Vicente Cortés and Antoine Van Proeyen)
    arXiv:hep-th/0109094 [abstract, pdf, ps]
    Communications in Mathematical Physics 238 (2003) 525-543

  12. Super self-duality for Yang-Mills fields in dimensions greater than four
    (with Jean Nuyts)
    arXiv:hep-th/0109072 [abstract, pdf, ps]
    Journal of High Energy Physics 12 (2001) 020

  13. Democratic Supersymmetry
    (with Jean Nuyts)
    arXiv:hep-th/0010056 [abstract, pdf, ps]
    Journal of Mathematical Physics 42 (2001) 5840-5858 [pdf-file]

  14. Special complex manifolds
    (with Dmitri V. Alekseevsky and Vicente Cortés)
    arXiv:math.DG/9910091 [abstract, pdf , ps]
    Journal of Geometry and Physics 42 (2002) 85-105

  15. Supersymmetric integrable systems from geodesic flows on superconformal groups
    (Суперсимметричные интегрируемые системы из геодезических потоков на суперконформных группах)
    (with Jeremy Schiff)
    arXiv:nlin.si/0008017 [abstract, pdf, ps]
    Теоретическая и математическая физика 123 (2000) 182-188 [pdf-file] ,
    (Theoretical and Mathematical Physics 123 (2000) 563-568)         ,
    special issue in memory of Misha Saveliev, edited by Yu. Manin, M. Olshanetsky, C. Devchand

  16. The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group
    (with Jeremy Schiff)
    arXiv:solv-int/9811016 [abstract, pdf, ps]
    Journal of Mathematical Physics 42 (2001) 260-273 [pdf-file]

  17. String-induced Yang-Mills coupling to self-dual gravity
    (with Olaf Lechtenfeld)
    arXiv:hep-th/9808053 [abstract, pdf, ps]
    Nuclear Physics B539 (1999) 309-328

  18. On the self-dual geometry of N=2 strings
    (with Olaf Lechtenfeld)
    arXiv:hep-th/9801117 [abstract, pdf, ps]
    Theory of Elementary Particles (Edited by H. Dorn, D. Luest, G. Weigt), Wiley-VCH, Berlin (1998)

  19. Lorentz covariance, higher-spin superspaces and self-duality
    (with Jean Nuyts)
    arXiv:hep-th/9806243 [abstract, pdf, ps]
    AIP Conference Proceedings 453 (1998) 317-323

  20. Lorentz covariant spin two superspaces
    (with Jean Nuyts)
    arXiv:hep-th/9804052 [abstract, pdf, ps]
    Nuclear Physics B527 (1998) 479-498

  21. Extended self-dual Yang-Mills from the N=2 string
    (with Olaf Lechtenfeld)
    arXiv:hep-th/9712043 [abstract, pdf, ps]
    Nuclear Physics B516 (1998) 255-272

  22. Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4)
    (with Jean Nuyts)
    arXiv: hep-th/9704036 [abstract, pdf, ps]
    Nuclear Physics B503 (1997) 627-656

  23. Killing spinors are killing vector fields in Riemannian Supergeometry
    (with Dmitri Alekseevsky, Vicente Cortés and Uwe Semmelmann)
    arXiv:dg-ga/9704002 [abstract, pdf, ps]
    Journal of Geometry and Physics 26 (1998) 37

  24. Hidden symmetries of the principal chiral model and a nonstandard loop algebra
    (with Jeremy Schiff)
    arXiv: hep-th/9701059 [abstract, pdf, ps]
    Physics Letters B418 (1998) 155-159

  25. Selfduality in generalized Lorentz superspaces
    (with Jean Nuyts)
    arXiv:hep-th/9612176 [abstract, pdf, ps]
    Physics Letters 404B (1997) 259-263

  26. Hidden symmetries of the principal chiral model unveiled
    (with Jeremy Schiff)
    arXiv: hep-th/9611081 [abstract, pdf, ps]
    Communications in Mathematical Physics 190 (1998) 675-695

  27. Bäcklund transformation for supersymmetric self-dual theories for semi-simple gauge groups and a hierarchy of A1 solutions
    (with Andrei Leznov)
    arXiv: hep-th/9301098 [abstract, pdf, ps]
    Communications in Mathematical Physics 160 (1994) 551 [pdf-file]

    Papers with Victor Ogievetsky

  28. Interacting fields of arbitrary spin and N> 4 supersymmetric self-dual Yang-Mills equations
    (with Victor Ogievetsky)
    arXiv: hep-th/9606027 [abstract, pdf, ps]
    Nuclear Physics B481 (1996) 188-214

  29. Conserved currents for unconventional supersymmetric couplings of self-dual gauge fields
    (with Victor Ogievetsky)
    arXiv:hep-th/9510235 [abstract, pdf, ps]
    Physics Letters 367B (1996) 140-144

  30. Unravelling the on-shell constraints of self-dual supergravity theories
    (with Victor Ogievetsky)
    arXiv: hep-th/9602058 [abstract, pdf, ps]
    Nuclear Physics B(PS) 49 (1996) 139-143

  31. Self-dual supergravities
    (with Victor Ogievetsky)
    arXiv: hep-th/9501061 [abstract]
    Nuclear Physics B444 (1995) 381-400

  32. Self-dual gravity revisited
    (with Victor Ogievetsky)
    arXiv: hep-th/9409160 [abstract]
    Classical and Quantum Gravity 13 (1996) 2515-2536 [pdf-file]

  33. Four dimensional integrable theories
    (with Victor Ogievetsky)
    arXiv:hep-th/9410147 [abstract]
    Lecture Notes in Physics, Vol. 447, pp. 169 - 182 (Springer, Berlin, 1995)

  34. Integrability of N=3 super Yang-Mills equations
    (with Victor Ogievetsky)
    arXiv:hep-th/9310071 [abstract]
    Amer. Math. Soc. Transl. Ser. 2, 177 (1996) 51-58

  35. All supersymmetric self-dual gauge theories
    (with Victor Ogievetsky)
    Theory of elementary particles , DESY--94--053,
    Proc. Wendisch-Rietz-Symposium 1993, 227--233

  36. The super self-dual matreoshka
    (with Victor Ogievetsky)
    arXiv:hep-th/9310072 [abstract]

  37. The structure of all extended supersymmetric self-dual gauge theories
    (with Victor Ogievetsky)
    arXiv:hep-th/9306163 [abstract]
    Nuclear Physics B414 (1994) 763-782

  38. Superselfduality as analyticity in harmonic superspace
    (with Victor Ogievetsky)
    arXiv: hep-th/9209120 [abstract]
    Phys.Lett.B297 (1992) 93-98

    Earlier writings

  39. Comultiplication for quantum deformations of the centreless Virasoro algebra in the continuum formulation
    (with M.V. Saveliev)
    Phys.Lett.B 258 (1991) 364--368

  40. A q-analogue of the Lie superalgebra osp(2,1) and its metaplectic representation
    Differential Geometric Methods in Theoretical Physics
    (ed. L.-L. Chau and W. Nahm), Plenum Press, 1990

  41. N=3 extended supersymmetric gauge theories and an explicit construction of higher conservation laws
    Journal of Mathematical Physics 30 (1989) 2978--2983 [pdf-file]

  42. Integrability on lightlike lines in six dimensional superspace
    Zeitschrift f. Physik C -Particles and Fields 32 (1986) 233--236

  43. Some features of complete integrability in supersymmetric gauge theories
    Lecture Notes in Physics, Vol. 246, 190--205 (Springer, Berlin, 1986) [pdf-file]

  44. Hidden symmetries of gauge potentials in supersymmetric gauge theories
    Physical Review D32 (1985) 2143--2147 [pdf-file]

  45. Self-duality for eight dimensional gauge theories
    (with Y. Brihaye und J. Nuyts)
    Physical Review D32 (1985) 990--994 [pdf-file]

  46. Bogomolny equations and dimensional reduction
    (with D.B. Fairlie)
    Physics Letters 141B (1984) 73--75

  47. An infinite number of continuity equations and hidden symmetries in extended supersymmetric gauge theories
    Nuclear Physics B238 (1984) 333--348

  48. Complete integrability in classical field theories
    Ph.D. Thesis, Univ. of Durham (1983) ( EThos ) [pdf-file]

  49. First order equations for gauge fields in spaces of dimension greater than four
    (with E. Corrigan, D.B. Fairlie and J. Nuyts)
    Nuclear Physics B214 (1983) 452--464

  50. A generating function for hidden symmetries of chiral models
    (with D.B. Fairlie)
    Nuclear Physics B194 (1982) 232--236

Editorial Work

  1. Integrable Systems: In Memoriam Mikhail Vladimirovich Saveliev
    edited by C. Devchand, Yu. Manin, M. Olshanetsky
    Теор. Мат. Фиэ. (2000) том 123, номер 2
    (Theoretical and Mathematical Physics 123 (2000) No. 2)         ,

  2. Special Geometric Structures in String Theory
    edited by D.V. Alekseevsky, V. Cortés, C. Devchand and A. Van Proeyen
    The Electronic Library of Mathematics, Proceedings Collection

Publications are listed in the inspire database, or a pdf file of a list of publications is available here
© Copyright for published papers is held by the respective publishers; and for open access and unpublished articles by the authors. Views expressed in these papers are those of the authors and should not be mistaken for those of any other person, institute, university, or any other entity.