Home page of

Gregory W. Moore

 

Directory information

  Position:

Faculty

  Research group:

High Energy Theory

  Email address:

gmoore@physics.rutgers.edu

  Telephone:

(732) 445-4375

  Dept. Fax:

(732) 445-4343

  Office:

Serin E362

  Mailing address:

Greg Moore
NHETC
Department of Physics and Astronomy
Rutgers, The State University of New Jersey
136 Frelinghuysen Road
Piscataway, NJ 08854-8019 USA

Research Activities

The work of Moore focuses on string theory and M-theory, with a particular emphasis on the underlying mathematical structures and applications to and from modern mathematics. Specific research interests include:

  1. The theory of D-branes, particularly the topological issues related to D-branes such as anomaly cancellation, relations to K-theory, and relations to noncommutative geometry.
  2. The structure of string field theory. Tachyon condensation.
  3. Effective low energy supergravity theories in string compactification and the computation of nonperturbative stringy effects in effective supergravities.
  4. Connections between string theory and automorphic forms. Potential connections to number theory.
  5. Topological field theories.
  6. Conformal field theories.

 

Publications

 

  1. Anomalous Inequivalence of Phenomenological Theories, (with A. Manohar),  Nucl. Phys. {\bf B243}(1984)55.
  2. Anomalies and Odd Dimensions, (with L. Alvarez-Gaum\'e
    and S. Della Pietra) Ann. Phys. (1985)288
  3. Anomalies in Nonlinear Sigma Models, (with P. Nelson),
    Phys. Rev. Lett. {\bf 53}(1984)1519
  4. Constraints on a Two-Higgs Interpretation of the
    $\zeta(8.3)$, (with H. Georgi and A. Manohar), Phys. Lett.
    {\bf 149B}(1984)234
  5. The Aeteology of Sigma Model Anomalies, (with P. Nelson)
    Comm. Math. Phys. {\bf 100}(1985)83
  6. A Comment on Sigma Model Anomalies, (with A. Manohar and
    P. Nelson) Phys. Lett. {\bf 152B}(1985)68
  7. Measure for Moduli, (with P. Nelson), Nucl. Phys.
    {\bf B266}(1986)58
  8. An Off-Shell Propagator for String Theory, (with
    A. Cohen, P. Nelson, and J. Polchinski), Nucl. Phys.
    {\bf B267}(1986)143
  9. An Invariant String Propagator (with A. Cohen, P. Nelson,
    and J. Polchinski) in {\it Unified String Theories}, D. Gross and
    M. Green eds., World Scientific (1986)
  10. Strings and supermoduli (with P.~Nelson, and J.~Polchinski)
     Phys.~Lett. {\bf B169} (1986) 47; {\bf201B} (1988) 579(E)
  11. Heterotic geometry, (with P. Nelson), Nucl. Phys.
    {\bf B274} (1986) 509
  12. An $O(16)\times O(16)$ Heterotic String, (with L. Alvarez-Gaum\'e,
    P. Ginsparg, and C. Vafa) Phys. Lett. {\bf 171B}(1986)155
  13. Theta Functions, Modular Invariance, and Strings,
    (with L. Alvarez-Gaum\'e, and C. Vafa), Comm. Math. Phys.
    {\bf 106}(1986)1
  14. Semi-Off-Shell String Amplitudes (with A. Cohen,
    P. Nelson, and J. Polchinski), Nucl. Phys. {\bf B281}(1986)127
  15. Modular forms and Two-Loop String Physics, Phys. Lett.
    {\bf 176B}(1986)369
  16. Bosonization in Arbitrary Genus, (with L. Alvarez-Gaum\'e,
    J. B. Bost, P. Nelson, and C. Vafa) Phys. Lett. {\bf 178B}(1986)41
  17. Bosonization on higher genus Riemann surfaces,
    (with L.~Alvarez-Gaum\'e, J.~B.~Bost, P. Nelson, and C.~Vafa),
    Commun. Math. Phys. {\bf112} (1987) 503
  18. Modular forms and the cosmological constant,
    (with J. Harris, P. Nelson, and I. Singer)
    Phys.\ Lett.\ {\bf178B} (1986) 167; {\bf201B} (1988) 579(E)
  19. Modular Forms and Multiloop String Physics, in
    {\it Proceedings of the VIIIth International Congress on
    Mathematical Physics} at Marseille.
    M. Mebkhout, ed. World Scientific, 1987, pp. 776-783
  20. Atkin-Lehner Symmetry, Nucl. Phys. {\bf B293}(1987)139
  21. Vanishing Vacuum Energies for Nonsupersymmetric Strings,
    in {\it Nonperturbative Quantum Field Theory} (Cargese lectures),
    G. Mack,
    G. `t Hooft, A. Jaffe, P. Mitter, and R. Stora, eds.
    Plenum.
  22. Quasicrystalline Compactification, (with J. Harvey and
    C. Vafa) Nucl. Phys. {\bf B304}(1988)269
  23. Some Remarks on Two-Loop Superstring Calculations,
    (with A. Morozov), Nucl. Phys. {\bf B306}(1988)387
  24. Some global issues in string
    perturbation theory," (with J. J. Atick, and A. Sen),
    Nucl. Phys. {\bf B308}(1988)1-101
  25. Rationality in Conformal Field Theory, (with
    G. Anderson), Comm. Math. Phys. {\bf 117}(1988)441
  26. Catoptric tadpoles, (with J. J. Atick, and A. Sen)
    Nucl. Phys. {\bf B307}(1988)221
  27. Strings in the Operator Formalism, (with L. Alvarez-Gaum\'e,
    C. Gomez, and C. Vafa), Nucl. Phys. {\bf 303}(1988)455
  28. Polynomial Equations for Rational Conformal Field
    Theories, (with N. Seiberg),
    Phys. Lett.  {\bf 212B}(1988)451
  29. Naturality in Conformal Field Theory,
    (with N. Seiberg), Nucl. Phys. {\bf B313}(1989)16
  30. Classical and Quantum Conformal Field Theory,
    (with N. Seiberg), Commun. Math. Phys. {\bf 123}(1989)177
  31. Taming the Conformal Zoo,
    (with N. Seiberg), Phys. Lett. {\bf 220B}(1989)422
  32. A Comment on Quantum Group Symmetry in Conformal Field
    Theory, (with N. Reshetikhin), Nucl. Phys. {\bf B328}(1989)557
  33. Remarks on the Canonical Quantization of the Chern-Simons-
    Witten Theory, (with S. Elitzur, A. Schwimmer, and N. Seiberg),
    Nucl. Phys. {\bf B326}(1989)108
  34. Rational Conformal Field Theory and Group Theory,
    (with N. Seiberg), in the proceedings of the
    Schloss Ringberg conference, April 1989
  35. Lectures on Rational Conformal Field Theory,
    (with N. Seiberg), in {\it Strings '89},Proceedings
    of the Trieste Spring School on Superstrings,
    3-14 April 1989, M. Green, et. al. Eds. World
    Scientific, 1990.
  36. The Ising model, the Yang-Lee edge singularity, and
    2D quantum gravity, (with \v C. Crnkovi\'c and P. Ginsparg),
    Phys. Lett. {\bf 237B}(1990)196
  37. Nonabelions in the fractional quantum hall effect, (with N. Read),
    Nucl. Phys. {\bf 360B}(1991)362
  38. Geometry of the String Equations, Commun. Math. Physics.
    {\bf 133}(1990) 261-304
  39. Physical Solutions for Unitary-Matrix Models
    (with M. Douglas and C. Crnkovic), Nucl. Phys. {\bf B360}(1991)507
  40. Simplex Equations and Their Solutions, (with I. Frenkel),
    Commun. Math. Phys. {\bf 138}(1991)259
  41. Matrix Models of 2D Gravity and Isomonodromic Deformation,
    in Common Trends in Mathematics and Quantum Field
    Theories, T. Eguchi et. al., eds. Prog. Theor. Phys. Suppl.
    102; Also, in the  Proceedings of the
    1990 Carg\'ese Workshop on Random Surfaces, Quantum Gravity and
    Strings, with slightly improved version.
  42. Multicritical Multi-Cut Matrix Models, (with \v C. Crnkovi\'c),
    Phys. Lett. {\bf B257}(1991)322
  43. Double-Scaled Field Theory at c=1, Nucl.Phys.B368:557-590,1992,
  44. Boundary Operators in 2D Gravity, (with E. Martinec and
    N. Seiberg), Phys. Lett.   B263 (1991)190.
  45. From Loops to States in 2D Quantum Gravity, (with N. Seiberg
    and M. Staudacher), Nucl. Phys.   B362 (1991)665
  46. Loop Equations and the Topological Phase of Multi-Cut Matrix
    Models, (with \v C. Crnkovi\'c and M. Douglas),  hep-th/9108014;
    Int.J.Mod.Phys.A7:7693-7711,1992
  47. From Loops to Fields in 2D Quantum Gravity (with N. Seiberg),
    Int. Jour. Mod. Phys. {\bf 7A}(1992)2601.
  48. Exact S-Matrix for 2D String Theory, (with R. Plesser and S.
    Ramgoolam),
    hepth/9111035; Nucl.Phys.B377:143-190,1992
  49. Gravitational Phase Transitions and the Sine-Gordon Model
  50. Classical Scattering in 1+1 Dimensional String Theory, (with R.
    Plesser), hepth/9203060; Phys.Rev.D46:1730-1736,1992
  51. Fractional quantum Hall effect and nonabelian statistics, (with
    N. Read),  hepth/9111035;
    to appear in Proceedings of 4th Yukawa International Symposium
  52. The partition function of 2d string theory, (with R. Dijkgraaf and
    R. Plesser),  hepth/9208031; Nucl.Phys.B394:356-382,1993
  53. Lectures on 2D Gravity and 2D String Theory, (with P. Ginsparg),
     hepth/9304011; in {\it Recent Directions in Particle Theory}, J. Harvey
    and J. Polchinski,
    eds., World Scientific, 1993
  54. Finite in All Directions, hepth/9305139
  55. Symmetries and Symmetry-Breaking in String Theory,
     hepth/9308052; in {\it International Workshop on
    Supersymmetry and Unification of Fundamental
    Forces}, P. Nath, ed, World Scientific 1993
  56. Symmetries of the bosonic string $S$-matrix,
     hep-th/9310026
  57. Large N 2D Yang-Mills Theory and Topological String Theory,,
     hep-th/9402107. Commun.Math.Phys.185:543-619,1997



Talks

 

  1. Lectures at the Les Houches Meeting on Number Theory, Geometry, and
    Physics. Les Houches, March 9-21, 2003.
  2. Localized tachyon flows and Hirzebruch-Jung spaces, at the conference ``Avant
    Strings,'' Institut des Hautes
    Etudes Scientifiques, Paris, June 15, 2004.
  3. On the quantization of Page charges, at the conference ``Avant
    Strings,'' Institut des Hautes  Etudes Scientifiques, Paris, June 23, 2004
  4. Anomalies, Gauss Laws, and Page charges, at the conference
    ``Strings 2004,'' Paris, July 1, 2004.
  5. Testing some Black Hole/Topological String conjectures,  Institute
    for Advanced Study, April 11, 2005
  6. Lie Algebras, BPS States, and String Duality, {\it Summer workshop on
    Groups and Algebras in M-theory}, Rutgers Math Department, May 31, 2005
  7. Black holes and Arithmetic, {\it Talk delivered at the Mathematicshe Arbeitstagung,}
    Max Planck Institute, Bonn, Germany, 11 June 2005.
  8. Remarks on the Hamiltonian Formulation of Some
    Generalized Abelian Gauge Theories, {\it Talk delivered at the workshop,
     Geometric Topology and Connections with
    Quantum Field Theory, } Oberwolfach, Germany, June 13, 2005.
  9. Noncommutativity of Electric and Magnetic Fluxes, {\it Amsterdam Workshop on
    String Theory,}  June 22, 2005,
  10. Electric and Magnetic Flux Do Not Commute, {\it Aspen Workshop in Superstring
    Cosmology}, Aspen, Co, August 9, 2005
  11. An uncertainty principle for fluxes, with applications to self-dual fields, , CUNY, June 28, 2006 (26th International Colloquium on Group Theoretical Methods in Physics)
  12. Split Polar Attractors , Harvard, September 29, 2006

 

·       Clay Mathematical Institute Lectures

 

If you are looking for  ``D-branes and K-theory in 2D topological field theory,’’ hep-th/0609042  you can get a pdf file here Dbranes_Ktheory_Final.pdf,

Or a postscript file here (warning 23MB!) Dbranes_Ktheory_Final.ps, or you can get   the tex file Dbranes_Ktheory_Final.tex, and the  figures as    ClayFigsFinal_EPS.zip   or  as  ClayFigsFinal_GIF.zip

Please send any comments on this page to gmoore@physics.rutgers.edu.

Revised May 20, 2007