M. Flohr, M. Terhoeven, R. Varnhagen,
Connections between Mathematical Physics (Quantum Groups,
von Neumann Algebras) and the Theory of Knots,
Tagungsbericht 15/1991, Mathematisches Forschungsinstitut Oberwolfach
R. Varnhagen,
Lax Equation between Transfer Matrix and Corner Transfer Matrix
Hamiltonian,
BONN preprint Juli 1992, unpublished
L. Fehér,
Generalized Drinfeld-Sokolov Hierarchies and W-Algebras,
to appear in Proc. of the NSERC-CAP Workshop on Quantum Groups,
Integrable Models and Statistical Systems, Kingston, Canada,
July 13-17 1992
A. Honecker,
A Note on the Algebraic Evaluation of Correlators in Local Chiral
Conformal Field Theory,
BONN-HE-92-25
J. Kellendonk,
On the Algebraic Characterization of Aperiodic Tilings Related to
ADE-Root Systems,
BONN-HE-92-26
J.M. Figueroa-O'Farrill, E. Ramos,
The Algebra of Differential Operators on the Circle and
W(KP)-Q,
BONN-HE-92-34
M. Terhoeven,
Lift of Dilogarithm to Partition Identities,
BONN-HE-92-36
J.M. Figueroa-O'Farrill,
Constructing N=2 Superconformal Algebras out of N=1 Affine
Lie Algebras,
BONN-HE-93-21
M. Alimohammadi, H. Arfaei,
SO(N) WZNW Models on Higher Genus Riemann Surfaces,
BONN-HE-93-27
R. Schimmrigk,
Kähler manifolds with positive first Chern class and mirrors of
rigid Calabi-Yau manifolds,
preprint BONN-HE-93-47, NSF-ITP-93-146, hep-th/9312111,
proceedings ``Supersymmetry and Unification of Fundamental Interactions'',
Boston, 1993
W. Eholzer, M. Flohr, A. Honecker, R. Hübel, R. Varnhagen,
W-Algebras in Conformal Field Theory,
Proceedings of the workshop ``Superstrings and
Related Topics'', Trieste, July 1993,
eds. E. Gava, A. Masiero, K.S. Narain,
S. Randjbar-Daemi, Q. Shafi, World Scientific, p. 435
W. Nahm, Conformal Field Theory and the Dilogarithm,
Proceedings of the XIth International Congress of Mathematical
Physics, Paris, July 1995, ed. D. Iagolnitzer,
International Press, Cambridge/MA
W. Nahm,
A vanishing theorem for products of symmetric and exterior powers,
MPI für Mathematik, preprint 1995
W. Nahm, On the Seiberg-Witten Approach to electric-magnetic
Duality, preprint BONN-TH-96-05, hep-th/9608121
F. Rohsiepe, On Reducible but Indecomposable Representations
of the Virasoro Algebra, preprint BONN-TH-96-19, hep-th/9611160
R. Schimmrigk, Scaling Behavior of the Moduli Space of
Calabi-Yau Manifolds, alg-geom/9612012,
in: B. Greene, S.T. Yau (editors): Mirror symmetry II 443-453
W. Nahm,
On quasi-rational conformal field theories,
Nucl. Phys. Proc. Suppl. 49 (1996) 107
B. Hunt, M. Lynker and R. Schimmrigk,
Heterotic/Type II Duality in D=4 and String/String Duality,
Nucl. Phys. Proc. Suppl. 52A (1997) 339, hep-th/9609082,
in: Proceedings of SUSY 96, College Park, MD, May 1996
I. Brunner, M. Lynker and R. Schimmrigk,
Dualities and phase transitions for Calabi-Yau threefolds and
fourfolds,
Nucl. Phys. Proc. Suppl. 56B (1997) 120, hep-th/9703182,
in: Proceedings of the 30th Ahrenshoop International Symposium on
the Theory of Elementary Particles, Buckow, August 96
W. Nahm,
On electric-magnetic duality,
Nucl. Phys. Proc. Suppl. 58 (1997) 91
W. Müller, K. Wendland,
Critical Metrics with Respect to Ray-Singer Analytic Torsion
and Quillenmetric,
Pitman Research Notes in Mathematics Series 379 (1998) p.245-250
(Proceedings of the Conference on Analysis, Numerics and
Applications of Differential and Integral Equations in
Stuttgart 9.-11.10.1996)
F. Laytimi, W. Nahm,
Vanishing theorems for products of exterior and symmetric powers,
preprint USTL 98-09, math.AG/9809064
W. Nahm,
Conformal Field Theory: A Bridge over Troubled Waters,
Quantum field theory, Hindustan Book Agency, New Delhi 2000, 571
W. Nahm, K. Wendland,
Mirror Symmetry on Kummer Type K3 Surfaces,
hep-th/0106104
III. Published Papers
R. Blumenhagen, M. Flohr, A. Kliem, W. Nahm, A. Recknagel,
R. Varnhagen,
W-Algebras With Two and Three Generators,
Nucl. Phys. B361 (1991) 255
R. Varnhagen,
Characters and Representations of New Fermionic W-Algebras,
Phys. Lett. B275 (1992) 87
W. Eholzer, M. Flohr, A. Honecker, R. Hübel, W. Nahm,
R. Varnhagen,
Representations of W-Algebras with Two Generators and New
Rational Models,
Nucl. Phys. B383 (1992) 249
R. Blumenhagen,
Covariant Construction of N=1 Super W-Algebras,
Nucl. Phys. B381 (1992) 641
R. Blumenhagen, W. Eholzer, A. Honecker, R. Hübel,
New N=1 Extended Superconformal Algebras with Two and Three
Generators,
Int. J. Mod. Phys. A7 (1992) 7841
S. Stanciu,
The Energy Operator for Infinite Statistics,
Commun. Math. Phys. 147 (1992) 211
J.M. Figueroa-O'Farrill, E. Ramos,
The Classical Limit of W-Algebras,
Phys. Lett. B282 (1992) 357
J.M. Figueroa-O'Farrill, J. Mas, E. Ramos,
On the Two Boson Picture of the KP Hierarchy,
Phys. Lett. B292 (1992) 337
J.M. Figueroa-O'Farrill, E. Ramos, S. Stanciu,
A Geometrical Interpretation of Classical W-Transformations,
Phys. Lett. B297 (1992) 289
J.M. Figueroa-O'Farrill, E. Ramos,
Existence and Uniqueness of the Universal W-Algebra,
J. Math. Phys. 33 (1992) 833, Erratum ibid. 34
(1993) 887
M. Flohr,
W-Algebras, New Rational Models and the Completeness of the
c=1 Classification,
Commun. Math. Phys. 157 (1993) 179
R. Blumenhagen,
N=2 Supersymmetric W-Algebras,
Nucl. Phys. B405 (1993) 744
W. Eholzer, A. Honecker, R. Hübel,
Representations of N=1 Extended Superconformal Algebras,
Mod. Phys. Lett. A8 (1993) 725
W. Eholzer,
Fusion Algebras Induced by Representations of the Modular Group,
Int. J. Mod. Phys. A8 (1993) 3495
W. Nahm, A. Recknagel, M. Terhoeven,
Dilogarithm Identities in Conformal Field Theory,
Mod. Phys. Lett. A8 (1993) 1835
A. Honecker,
Automorphisms of W-Algebras and Extended Rational Conformal
Field Theories,
Nucl. Phys. B400 (1993) 574
A. Recknagel,
Fusion rules from algebraic K-theory,
Int. J. Mod. Phys. A8 (1993) 1345
J. Kellendonk, A. Recknagel,
Virasoro representations on fusion graphs,
Phys. Lett. B298 (1993) 329
W. Eholzer, A. Honecker, R. Hübel,
How complete is the classification of W-symmetries?,
Phys. Lett. B308 (1993) 42
J.M. Figueroa-O'Farrill, J. Mas, E. Ramos,
A One Parameter Family of Hamiltonian Structures for the KP
Hierarchy and a Continuous Deformation of the Nonlinear W(KP)
Algebra,
Commun. Math. Phys. 158 (1993) 17
J.M. Figueroa-O'Farrill, J. Mas, E. Ramos,
The Topography of W(\infty)-Type Algebras,
Phys. Lett. B299 (1993) 41
J.M. Figueroa-O'Farrill, S. Stanciu,
New Supersymmetrizations of the Generalized KdV Hierarchies,
Mod. Phys. Lett. A8 (1993) 2125
N. Mohammedi, Arbitrary Spacetimes from the
SL(2,R)/U(1) Coset Model, Mod. Phys. Lett. A8
(1993) 1125
J.M. Figueroa-O'Farrill, S. Stanciu,
On a New Supersymmetric KdV Hierarchy in 2-d Quantum Supergravity,
Phys. Lett. B316 (1993) 282
J.M. Figueroa-O'Farrill,
Affine Algebras, N=2 Superconformal Algebras, and Gauged WZNW
Models,
Phys. Lett. B316 (1993) 496
N. Mohammedi,
Naked Singularities in Four-Dimensional String Backgrounds,
Phys. Rev. D48 (1993) 3784
L. Fehér, L. O'Raifeartaigh, I. Tsutsui,
The Vacuum Preserving Lie Algebra of a Classical W-Albegra,
Phys. Lett. B316 (1993) 275
L. Fehér, L. O'Raifeartaigh, P. Ruelle, I. Tsutsui,
On the Completeness of the Set of Classical W-Algebras
Obtained from DS Reductions,
Commun. Math. Phys. 162 (1994) 399
M.B. Halpern, N.A. Obers,
Ward Identities for Affine-Virasoro Correlators,
Int. J. Mod. Phys. A9 (1994) 265
M.B. Halpern, N.A. Obers,
Solving the Ward Identities of Irrational Conformal Field Theory,
Int. J. Mod. Phys. A9 (1994) 419
J. Kellendonk, M. Rösgen, R. Varnhagen,
Path Spaces and W-Fusion in Minimal Models,
Int. J. Mod. Phys. A9 (1994) 1009
A. Shirzad, H. Arfaei,
Modular Invariant Partition Functions and Method of Shift Vector,
J. Math. Phys. 35 (1994) 237
W. Eholzer, R. Hübel,
Fusion Algebras of Fermionic Rational Conformal Field Theories
via Generalized Verlinde Formula,
Nucl. Phys. B414 (1994) 348
J. de Boer, L. Fehér, A. Honecker,
A Class of W-Algebras with Infinitely Generated
Classical Limit,
Nucl. Phys. B420 (1994) 409
M. Flohr, R. Varnhagen,
Infinite Symmetry in the Fractional Quantum Hall Effect,
J. Phys. A27 (1994) 3999
M. Terhoeven,
Dilogarithm Identities, Fusion Rules and Structure
Constansts of CFTs,
Mod. Phys. Lett. A9 (1994) 133
N. Mohammedi, Discrete Symmetry, Non-Commutative Geometry
and Gravity, Mod. Phys. Lett. A9 (1994) 875
H. Arfaei, N. Mohammedi,
Gauss Decomposition, Wakimoto Realization and Gauged WZNW Models,
Mod. Phys. Lett. A9 (1994) 1009
M. Flohr,
More Curiosities at Effective c=1,
Mod. Phys. Lett. A9 (1994) 1071
N. Mohammedi, On Bosonic an Supersymmetric Current
Algebras for Non-semi-simple Groups, Phys. Lett. B325
(1994) 371
N. Mohammedi,
Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras,
Phys. Lett. B331 (1994) 93
R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Hübel,
Unifying W-Algebras, Phys. Lett. B332 (1994) 51
N. Mohammedi, N=2 Current Algebras for Non-Semi-Simple
Groups, Phys. Lett. B337 (1994) 279
S. Stanciu, Additional Symmetries of Supersymmetric KP Hierarchies,
Commun. Math. Phys. 165 (1994) 261
R. Blumenhagen, R. Hübel, A Note on Representations of
N=2 SW-Algebras,
Mod. Phys. Lett. A9 (1994) 3193
W. Nahm,
Quasi-Rational Fusion Products,
Int. J. Mod. Phys. B8 (1994) 3693
M. Alimohammadi, F. Ardalan, H. Arfaei,
Gauging SL(2,R) and SL(2,R) x U(1) by their
Nilpotent Subgroups, Int. J. Mod. Phys. A10 (1995) 115
R. Blumenhagen, A. Wißkirchen, Extension of the
N=2 Virasoro Algebra by Two Primary Fields of Dimension 2 and 3,
Phys. Lett. B343 (1995) 168, hep-th/9408082
R. Blumenhagen, A. Wißkirchen, Generalized String
Functions of N=1 Space-Time Supersymmetric String Vacua,
Phys. Lett. B349 (1995) 63, hep-th/9501072
R.M. Kaufmann,
Pathspace Decompositions for the Virasoro Algebra and its
Verma Modules,
Int. J. Mod. Phys. A10 (1995) 943
S. Mallwitz,
On SW-minimal Models and N=1 Supersymmetric Quantum
Toda-field theories,
Int. J. Mod. Phys. A10 (1995) 977
M. Rösgen, R. Varnhagen,
Steps towards Lattice Virasoro Algebras: su(1,1),
Phys. Lett. B350 (1995) 203
R. Varnhagen, Topology and the Fractional Quantum Hall
Effect,
Nucl. Phys. B443 (1995) 501
R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Hübel,
Coset Realization of Unifying W-Algebras,
Int. J. Mod. Phys. A10 (1995) 2367
R. Blumenhagen, A. Wißkirchen, A Note on ADE
String Compactifications,
Phys. Lett. B355 (1995) 99, hep-th/9503129
W. Eholzer, N.-P. Skoruppa, Conformal Characters and Theta Series,
Lett. Math. Phys. 35 (1995) 197-211
W. Eholzer, On the Classification of Modular Fusion
Algebras, Commun. Math. Phys. 172 (1995) 623
R. Blumenhagen, A. Wißkirchen, Exactly Solvable (0,2)
Supersymmetric String Vacua With GUT Gauge Groups,
Nucl. Phys. B454 (1995) 561, hep-th/9506104
W. Eholzer, N.-P. Skoruppa,
Modular Invariance and Uniqueness of Conformal Characters,
Commun. Math. Phys. 174 (1995) 117-136
R. Blumenhagen, R. Schimmrigk, A. Wißkirchen,
The (0,2) Exactly Solvable Structure of Chiral Rings,
Landau-Ginzburg Theories and Calabi-Yau Manifolds,
Nucl. Phys. B461 (1996) 461, hep-th/9510055
R. Yue, H. Fan, B. Hou,
Exact diagonalization of the quantum supersymmetric SU_q(n|m)
model, Nucl. Phys. B462 (1996) 167
R. Blumenhagen, A. Wißkirchen, Exactly Solvable Points in the
Moduli Space of Heterotic N=2 Strings,
Mod. Phys. Lett. A11 (1996) 1475, hep-th/9601050
R. Blumenhagen, A. Wißkirchen, Exploring the Moduli Space of
(0,2) Strings,
Nucl. Phys. B475 (1996) 225, hep-th/9604140
R. Schimmrigk, Scaling Behavior in String Theory,
Phys. Lett. B388 (1996) 60, hep-th/9412077
R. Schimmrigk,
Mirror Symmetry and String Vacua from a Special Class of Fano
Varieties,
Int. J. Mod. Phys. A11 (1996) 3049, hep-th/9505086
B. Hunt, R. Schimmrigk, Heterotic Gauge Structure of
Type II K3 Fibrations,
Phys. Lett. B381 (1996) 427, hep-th/9512138
I. Brunner, R. Schimmrigk, F-Theory on Calabi-Yau Fourfolds,
Phys. Lett. B387 (1996) 750, hep-th/9606142
P. van Driel, K. de Vos, The Kazhdan-Lusztig Conjecture for
W-Algebras, J. Math. Phys. 37 (1996) 3587, hep-th/9508020
M. Lynker, R. Schimmrigk,
Conifold Transitions and Mirror Symmetries,
Nucl. Phys. B484 (1997) 562, hep-th/9511058
R. Blumenhagen, R. Schimmrigk, A. Wißkirchen, (0,2)
Mirror Symmetry, Nucl. Phys. B486 (1997) 598, hep-th/9609167
S. Govindarajan, A note on m(atrix) theory in seven-dimensions with
eight supercharges, Phys. Rev. D56 (1997) 5276, hep-th/9705112
S. Govindarajan, Heterotic m(atrix) theory at generic points
in Narain moduli space, Nucl. Phys. B507 (1997) 589, hep-th/9707164
I. Brunner, M. Lynker and R. Schimmrigk,
Unification of M-Theory and F-Theory Calabi-Yau Fourfold Vacua,
Nucl. Phys. B498 (1997) 156, hep-th/9610195
J. de Boer, Laszlo Feher, Wakimoto realizations of current
algebras: an explicit construction,
Commun. Math. Phys. 189 (1997) 759 , hep-th/9611083
L. Feher, I. Marshall,
Extended matrix Gelfand-Dickey hierarchies: reduction to
classical Lie algebras,
J. Phys. A: Math. Gen. 30 (1997) 5815, solv-int/9704002
J. Balog, L. Feher, L. Palla,
Coadjoint orbits of the Virasoro algebra and the global Liouville
equation,
Int. J. Mod. Phys. A13 (1998) 315, hep-th/9703045
R. Blumenhagen, A. Wißkirchen,
Spectra of 4D, N=1 Type I String Vacua on Non-Toroidal
CY Threefolds,
Phys. Lett. B438 (1998) 52, hep-th/9806131
D. Brungs, W. Nahm,
The associative algebras of conformal field theory,
Lett. Math. Phys. 47 (1999) 379, hep-th/9811239
M. Lynker, R. Schimmrigk, A. Wißkirchen,
Landau-Ginzburg vacua of string, M- and F-theory at c=12,
Nucl. Phys. B550 (1999) 123, hep-th/9812195
W. Müller, K. Wendland,
Extremal Metrics and Ray-Singer Analytic Torsion, in:
B. Booss-Bavnbek, K.P. Wojciechowski (eds.),
Geometric Aspects of Partial Differential Equations,
Proceedings of a Minisymposium on `Spectral Invariants, Heat
Equation Approach', held September 1998 in Roskilde, Denmark;
Contemporary Mathematics, American Mathematical Society,
Providence R.I. 1999, p.129-154, math.DG/9904048
S. Dulat, K. Wendland,
Crystallographic Orbifolds: Towards a Classification of Unitary
Conformal Field Theories with Central Charge c=2,
JHEP 06 (2000) 012, hep-th/0002227
S. Dulat,
The Orbifolds of N=2 Superconformal Theories with c=3,
J. Phys. A33 (2000) 5345, hep-th/0002253
A. Recknagel, D. Roggenkamp, V. Schomerus,
On relevant boundary perturbations of unitary minimal models,
Nucl. Phys. B588 (2000) 552, hep-th/0003110
W. Nahm, K. Wendland,
A Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field
Theory with central charge c=6,
Comm. Math. Phys. 216 (2001) 85, hep-th/9912067
H. Eberle,
Twistfied Perturbations of Vertex Operators in the Z_2-Orbifold
Model, JHEP 06 (2002) 022, hep-th/0103059
June 19th, 2002