SLAC | Library | SPIRES Databases | Search HEP | Comments
Topcites 2000 Edition Top Cited Articles, from the E-print archives

Based on data from the SPIRES-HEP Literature Database, SLAC Library

Papers most cited in mathematical physics articles

Papers most cited in mathematical physics articles

There is some difficulty in precisely identifying mathematical physics papers in the SPIRES database (which of course, only follows papers in high energy and particle physics). We have taken a sample drawn from the math and math-ph eprint archives as well as a sampling of mathematical physics journals: Adv.Math., Annales Poincare Phys.Theor., Annals Math., Commun.Math.Phys., Helv.Phys.Acta, J.Math.Phys., J.Nonlin.Math.Phys., J.Phys.A, Lett.Math.Phys., Math.Phys.Anal.Geom., Math.Phys.Electron.J., Rept.Math.Phys., Rev.Math.Phys., and Teor.Mat.Fiz. This gives us over 15,000 articles.

The following list gives the papers most often cited by these 15,000 mathematical physics articles. This list is designed to indicate the influence of a given paper on the field of mathematical physics.

    0216
  1. A Q DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION
    By Michio Jimbo (Kyoto U., RIMS).
    Published in Lett.Math.Phys.10:63-69,1985
    [Total number of citations in HEP]
    2. 0176
  2. INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM FIELD THEORY
    By A.A. Belavin, A.M. Polyakov (Landau Inst.), A.B. Zamolodchikov (CERN & Landau Inst.).
    Published in Nucl.Phys.B241:333-380,1984
    [Total number of citations in HEP]
    3. 0153
  3. QUANTUM FIELD THEORY AND THE JONES POLYNOMIAL
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in Commun.Math.Phys.121:351,1989
    [Total number of citations in HEP]
    4. 0124
  4. A Q ANALOG OF U (GL (N+1)), HECKE ALGEBRA AND THE YANG-BAXTER EQUATION
    By Michio Jimbo (Kyoto U., RIMS).
    Published in Lett.Math.Phys.11:247,1986
    [Total number of citations in HEP]
    5. 0124
  5. ON Q ANALOGS OF THE QUANTUM HARMONIC OSCILLATOR AND THE QUANTUM GROUP SU(2)-Q
    By A.J. Macfarlane (Cambridge U.).
    Published in J.Phys.A A22:4581,1989
    [Total number of citations in HEP]
    6. 0120
  6. THE QUANTUM GROUP SU(2)-Q AND A Q ANALOG OF THE BOSON OPERATORS
    By L.C. Biedenharn (Duke U.).
    Published in J.Phys.A A22:L873,1989
    [Total number of citations in HEP]
    7. 0118
  7. CURRENT ALGEBRA AND WESS-ZUMINO MODEL IN TWO-DIMENSIONS
    By V.G. Knizhnik, A.B. Zamolodchikov (Moscow, ITEP).
    Published in Nucl.Phys.B247:83-103,1984
    [Total number of citations in HEP]
    8. 0103
  8. LIE SUPERALGEBRAS
    By V.G. Kac (MIT, LNS).
    Published in Adv.Math.26:8-96,1977
    [Total number of citations in HEP]
    9. 0097
  9. QUANTIZATION OF LIE GROUPS AND LIE ALGEBRAS
    By L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg).
    Published in Lengingrad Math.J.1:193-225,1990 (Alg.Anal.1:178-206,1989)
    [Total number of citations in HEP]
    10. 0094
  10. NONABELIAN BOSONIZATION IN TWO-DIMENSIONS
    By Edward Witten (Princeton U.).
    Published in Commun.Math.Phys.92:455-472,1984
    [Total number of citations in HEP]
    11. 0089
  11. QUANTUM R MATRIX FOR THE GENERALIZED TODA SYSTEM
    By Michio Jimbo (Kyoto U., RIMS).
    Published in Commun.Math.Phys.102:537-547,1986
    [Total number of citations in HEP]
    12. 0083
  12. DIFFERENTIAL CALCULUS ON COMPACT MATRIX PSEUDOGROUPS (QUANTUM GROUPS)
    By S.L. Woronowicz (Warsaw U., Math. Dept.).
    Published in Commun.Math.Phys.122:125-170,1989
    [Total number of citations in HEP]
    13. 0082
  13. PSEUDOPARTICLE SOLUTIONS OF THE YANG-MILLS EQUATIONS
    By A.A Belavin, A.M. Polyakov, A.S. Shvarts, Yu.S. Tyupkin (Landau Inst.).
    Published in Phys.Lett.B59:85-87,1975
    [Total number of citations in HEP]
    14. 0082
  14. COMPACT MATRIX PSEUDOGROUPS
    By S.L. Woronowicz (Warsaw U., Math. Dept.).
    Published in Commun.Math.Phys.111:613-665,1987
    [Total number of citations in HEP]
    15. 0080
  15. FUSION RULES AND MODULAR TRANSFORMATIONS IN 2-D CONFORMAL FIELD THEORY
    By Erik Verlinde (Utrecht U.).
    Published in Nucl.Phys.B300:360,1988
    [Total number of citations in HEP]
    16. 0080
  16. QUANTIZATION OF LIE GROUPS AND LIE ALGEBRAS
    By L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg).
    Published in Lengingrad Math.J.1:193-225,1990 (Alg.Anal.1:178-206,1989)
    [Total number of citations in HEP]
    17. 0076
  17. KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
    By Peter Goddard (Cambridge U.), David Olive (Imperial Coll., London).
    Published in Int.J.Mod.Phys.A1:303,1986
    [Total number of citations in HEP]
    18. 0076
  18. TOPOLOGICAL QUANTUM FIELD THEORY
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in Commun.Math.Phys.117:353,1988
    [Total number of citations in HEP]
    19. 0075
  19. CONFORMAL INVARIANCE, UNITARITY AND TWO-DIMENSIONAL CRITICAL EXPONENTS
    By Daniel Friedan, Zong-an Qiu, Stephen Shenker (Chicago U., EFI & Chicago U.).
    Published in Phys.Rev.Lett.52:1575-1578,1984
    [Total number of citations in HEP]
    20. 0073
  20. LOCAL OBSERVABLES AND PARTICLE STATISTICS. 1
    By Sergio Doplicher (Marseille U., Luminy), Rudolf Haag (Hamburg U.), John E. Roberts (Princeton U.).
    Published in Commun.Math.Phys.23:199-230,1971
    [Total number of citations in HEP]
    21. 0072
  21. QUANTUM GEOMETRY OF BOSONIC STRINGS
    By A.M. Polyakov (Landau Inst.).
    Published in Phys.Lett.B103:207-210,1981
    [Total number of citations in HEP]
    22. 0072
  22. LOCAL OBSERVABLES AND PARTICLE STATISTICS. 2
    By Sergio Doplicher (Rome U.), Rudolf Haag, John E. Roberts (Hamburg U.).
    Published in Commun.Math.Phys.35:49-85,1974
    [Total number of citations in HEP]
    23. 0067
  23. LIE ALGEBRAS AND EQUATIONS OF KORTEWEG-DE VRIES TYPE
    By V.G. Drinfeld, V.V. Sokolov (Ufa, Math. Inst.).
    Published in J.Sov.Math.30:1975-2036,1984
    [Total number of citations in HEP]
    24. 0066
  24. QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
    By S. Majid (Swansea U.).
    Published in Int.J.Mod.Phys.A5:1-91,1990
    [Total number of citations in HEP]
    25. 0064
  25. HOPF ALGEBRAS AND THE QUANTUM YANG-BAXTER EQUATION
    By V.G. Drinfeld (Kharkov, Inst. Low Temp. Phys.).
    Published in Sov.Math.Dokl.32:254-258,1985 (Dokl.Akad.Nauk Ser.Fiz.283:1060-1064,1985)
    [Total number of citations in HEP]
    26. 0064
  26. A SKETCH OF LIE SUPERALGEBRA THEORY
    By V.G. Kac (Moscow Electronic Machinery Inst.).
    Published in Commun.Math.Phys.53:31-64,1977
    [Total number of citations in HEP]
    27. 0063
  27. CONFINEMENT OF QUARKS
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in Phys.Rev.D10:2445-2459,1974
    [Total number of citations in HEP]
    28. 0063
  28. COMMON STRUCTURES BETWEEN FINITE SYSTEMS AND CONFORMAL FIELD THEORIES THROUGH QUANTUM GROUPS
    By V. Pasquier, H. Saleur (Saclay).
    Published in Nucl.Phys.B330:523,1990
    [Total number of citations in HEP]
    29. 0063
  29. ON THE DUALITY CONDITION FOR A HERMITIAN SCALAR FIELD
    By J.J Bisognano (LBL, Berkeley), E.H. Wichmann (UC, Berkeley).
    Published in J.Math.Phys.16:985-1007,1975
    [Total number of citations in HEP]
    30. 0062
  30. AN ALGEBRAIC APPROACH TO QUANTUM FIELD THEORY
    By Rudolf Haag, Daniel Kastler (Illinois U., Urbana).
    Published in J.Math.Phys.5:848-861,1964
    [Total number of citations in HEP]
    31. 0062
  31. ON UNITARY REPRESENTATIONS OF THE INHOMOGENEOUS LORENTZ GROUP
    By E.P. Wigner (Princeton U.).
    Published in Annals Math.40:149-204,1939 (Nucl.Phys.Proc.Suppl.6:9-64,1989)
    [Total number of citations in HEP]
    32. 0059
  32. Q ANALOGS OF CLIFFORD AND WEYL ALGEBRAS: SPINOR AND OSCILLATOR REPRSENTATIONS OF QUANTUM ENVELOPING ALGEBRAS
    By Takahiro Hayashi (Nagoya U., Math. Dept.).
    Published in Commun.Math.Phys.127:129-144,1990
    [Total number of citations in HEP]
    33. 0058
  33. ON GAUGE INVARIANCE AND VACUUM POLARIZATION
    By Julian Schwinger (Harvard U.).
    Published in Phys.Rev.82:664-679,1951
    [Total number of citations in HEP]
    34. 0058
  34. QUANTUM LIE SUPERALGEBRAS AND Q OSCILLATORS
    By M. Chaichian (Helsinki U.), P. Kulish (Steklov Math. Inst., St. Petersburg).
    Published in Phys.Lett.B234:72,1990
    [Total number of citations in HEP]
    35. 0058
  35. IRREDUCIBLE REPRESENTATIONS OF THE OSP(2,1) AND SPL(2,1) GRADED LIE ALGEBRAS
    By M. Scheunert, W. Nahm, V. Rittenberg (Bonn U.).
    Published in J.Math.Phys.18:155,1977
    [Total number of citations in HEP]
    36. 0058
  36. AXIOMS FOR EUCLIDEAN GREEN'S FUNCTIONS
    By Konrad Osterwalder, Robert Schrader (Harvard U.).
    Published in Commun.Math.Phys.31:83-112,1973
    [Total number of citations in HEP]
    37. 0058
  37. FACTORIZED S MATRICES IN TWO-DIMENSIONS AS THE EXACT SOLUTIONS OF CERTAIN RELATIVISTIC QUANTUM FIELD MODELS
    By Alexander Zamolodchikov (Moscow, ITEP), Alexei Zamolodchikov (Dubna, JINR).
    Published in Annals Phys.120:253-291,1979
    [Total number of citations in HEP]
    38. 0057
  38. DYNAMICAL BREAKING OF SUPERSYMMETRY
    By Edward Witten (Princeton U.).
    Published in Nucl.Phys.B188:513,1981
    [Total number of citations in HEP]
    39. 0057
  39. ZETA FUNCTION REGULARIZATION OF PATH INTEGRALS IN CURVED SPACE-TIME
    By S.W. Hawking (Cambridge U.).
    Published in Commun.Math.Phys.55:133,1977
    [Total number of citations in HEP]
    40. 0056
  40. THE QUANTUM SINE-GORDON EQUATION AS THE MASSIVE THIRRING MODEL
    By Sidney Coleman (Harvard U.).
    Published in Phys.Rev.D11:2088,1975
    [Total number of citations in HEP]
    41. 0055
  41. SUPERGAUGE TRANSFORMATIONS IN FOUR-DIMENSIONS
    By J. Wess (Karlsruhe U.), B. Zumino (CERN).
    Published in Nucl.Phys.B70:39-50,1974
    [Total number of citations in HEP]
    42. 0054
  42. DEFORMATION THEORY AND QUANTIZATION. 1. DEFORMATIONS OF SYMPLECTIC STRUCTURES
    By F. Bayen (Paris U., VI-VII), M. Flato, C. Fronsdal (UCLA), A. Lichnerowicz, D. Sternheimer (College de France).
    Published in Annals Phys.111:61,1978
    [Total number of citations in HEP]
    43. 0053
  43. EIGHT VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN TYPE IDENTITIES
    By G.E. Andrews (Penn State U.), R.J. Baxter, P.J. Forrester (Australian National U., Canberra).
    Published in J.Statist.Phys.35:193-266,1984
    [Total number of citations in HEP]
    44. 0052
  44. CONSEQUENCES OF ANOMALOUS WARD IDENTITIES
    By J. Wess (CERN & Karlsruhe U.), B. Zumino (CERN).
    Published in Phys.Lett.B37:95,1971
    [Total number of citations in HEP]
    45. 0052
  45. THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Z(N) SYMMETRY
    By V.A. Fateev (ICTP, Trieste), S.L. Lukyakhov (Landau Inst.).
    Published in Int.J.Mod.Phys.A3:507,1988
    [Total number of citations in HEP]
    46. 0052
  46. UNITARY REPRESENTATIONS OF THE VIRASORO AND SUPERVIRASORO ALGEBRAS
    By P. Goddard, A. Kent (Cambridge U.), D. Olive (Imperial Coll., London).
    Published in Commun.Math.Phys.103:105,1986
    [Total number of citations in HEP]
    47. 0051
  47. MAGNETIC MONOPOLES IN UNIFIED GAUGE THEORIES
    By G. 't Hooft (CERN).
    Published in Nucl.Phys.B79:276-284,1974
    [Total number of citations in HEP]
    48. 0051
  48. CLASSICAL AND QUANTUM CONFORMAL FIELD THEORY
    By Gregory Moore, Nathan Seiberg (Princeton, Inst. Advanced Study).
    Published in Commun.Math.Phys.123:177,1989
    [Total number of citations in HEP]
    49. 0051
  49. FINITE DIMENSIONAL REPRESENTATIONS OF THE QUANTUM ANALOG OF THE ENVELOPING ALGEBRA OF A COMPLEX SIMPLE LIE ALGEBRA
    By Marc Rosso (Ecole Polytechnique).
    Published in Commun.Math.Phys.117:581-593,1988
    [Total number of citations in HEP]
    50. 0050
  50. SOME EXACT RESULTS FOR THE MANY BODY PROBLEMS IN ONE DIMENSION WITH REPULSIVE DELTA FUNCTION INTERACTION
    By C.N. Yang (SUNY, Stony Brook).
    Published in Phys.Rev.Lett.19:1312-1314,1967
    [Total number of citations in HEP]
    51. 0050
  51. THE Q DEFORMED BOSON REALIZATION OF THE QUANTUM GROUP SU(N)-Q AND ITS REPRESENTATION
    By Chang-Pu Sun (CCAST World Lab, Beijing & Changchun, Northeast Normal U. & Nankai Inst. Math.), Hong-Chen Fu (Changchun, Northeast Normal U.).
    Published in J.Phys.A A22:L983--L986,1989
    [Total number of citations in HEP]