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1.

図書

図書
[by] Lars V. Ahlfor
出版情報: New York : McGraw-Hill, c1973  vii, 157 p. ; 23 cm
シリーズ名: McGraw-Hill series in higher mathematics
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2.

図書

図書
Martin Schottenloher
出版情報: Berlin ; New York : Springer, c1997  viii, 142 p. ; 24 cm
シリーズ名: Lecture notes in physics ; . New series m, Monographs ; m43
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3.

図書

図書
Glen D. Anderson, Mavina K. Vamanamurthy, Matti K. Vuorinen
出版情報: New York : Wiley, c1997  xxvii, 505 p. ; 25 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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4.

図書

図書
by Efim S. Fradkin and Mark Ya. Palchik
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic Publishers, c1996  xii, 461 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 376
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5.

図書

図書
B. Greene and S.-T. Yau, editors
出版情報: Providence, R.I. : American Mathematical Society , [Cambridge] : International Press, c1997-c1999  v. ; 26 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 1, 9
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目次情報: 続きを見る
Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
Mirror symmetry constructions: A review / P. Berglund ; S. Katz
On the elliptic genus and mirror symmetry / M. Henningson
Orbifold Euler characteristic / S.-s. Roan
The structure of moduli space: Phases of $N=2$ theories in two dimensions / E. Witten
Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory / P. S. Aspinwall ; D. R. Morrison
Picard-Fuchs equations, special geometry and target space duality / A. Ceresole ; R. D'Auria ; S. Ferrara ; W. Lerche ; J. Louis ; T. Regge
Resolution of orbifold singularities in string theory
The role of $c_2$ in Calabi-Yau classification-a preliminary survey / P. H. Wilson
Thickening Calabi-Yau moduli spaces / Z. Ran
The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed / M. Gross
Introduction to duality / A. Giveon ; M. Rocek
Non-compact Calabi-Yau spaces and other non-trivial backgrounds for four-dimensional superstrings / E. Kiritsis ; C. Kounnas ; D. Lust
Scaling behavior on the space of Calabi-Yau manifolds / R. Schimmrigk
Enumerative issues and mirror symmetry: Making enumerative predictions by means of mirror symmetry
Mirror symmetry for two parameter models-I / P. Candelas ; X. l. Ossa ; A. Font
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces / S. Hosono ; A. Klemm ; S. Theisen ; S.-T. Yau
Gromov-Witten classes, quantum cohomology, and enumerative geometry / M. Kontsevich ; Yu. Manin
Holomorphic anomalies in topological field theories / M. Bershadsky ; S. Cecotti ; C. Vafa
Local behavior of Hodge structures at infinity / P. Deligne
Mirror symmetry in higher and lower dimensions: String theory on K3 surfaces
K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds / C. Borcea
Mirror manifolds in higher dimension / M. R. Plesser
Supermanifolds, rigid manifolds and mirror symmetry / S. Sethi
An introduction to mirror manifolds
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory / X. C. de la Ossa ; P. S. Green ; L. Parkes
Topological mirrors and quantum rings
Mirror manifolds and topological field theory
Rational curves and classification of algebraic varieties / Y. Kawamata
Rational curves on Calabi-Yau threefolds
Picard-Fuchs equations and mirror maps for hypersurfaces
Kahler classes on Calabi-Yau threefolds-An informal survey / P. M. H. Wilson
Automorphic functions and special Kahler geometry / F. Zwirner
Picard-Fuchs equations and flat holomorphic connections from $N = 2$ supergravity
A new geometry from superstring theory / C. A. Lutken
The geometry of Calabi-Yau orbifolds / S.-S. Roan
Properties of superstring vacua from (topological) Landau-Ginzburg models / D.-J. Smit
An $SL(2,\mathbb{C})$ action on certain Jacobian rings and the mirror map / T. Hubsch
A generalized construction of mirror manifolds
New constructions of mirror manifolds: Probing moduli space far from Fermat points
Deformations of Calabi-Yau Kleinfolds
Smoothing 3-folds with trivial canonical bundle and ordinary double points / G. Tian
Modified Calabi-Yau manifolds with torsion
Calabi-Yau threefolds and complex multiplication
Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
6.

図書

図書
Ivan T. Todorov
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  viii, 74 p. ; 25 cm
シリーズ名: Trieste notes in physics
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7.

図書

図書
edited by M. Jimbo, T. Miwa and A. Tsuchiya
出版情報: Tokyo : Kinokuniya Co., c1988  426 p. ; 24 cm
シリーズ名: Advanced studies in pure mathematics ; 16
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8.

図書

図書
editor, John L. Cardy
出版情報: Amsterdam ; New York : North-Holland , New York, NY, USA : Sole distributors for the USA and Canada, Elsevier Science Pub. Co., c1988  x, 373 p. ; 27 cm
シリーズ名: Current physics : sources and comments ; 2
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9.

図書

図書
R. Blumenhagen, E. Plauschinn
出版情報: Berlin : Springer, c2009  xi, 265 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 779
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目次情報: 続きを見る
Introduction / 1:
Basics in Conformal Field Theory / 2:
he Conformal Group / 2.1:
Conformal Invariance / 2.1.1:
Conformal Group in d ? 3 / 2.1.2:
Conformal Group in d ? 2 / 2.1.3:
Primary Fields / 2.2:
The Energy-Momentum Tensor / 2.3:
Radial Quantisation / 2.4:
The Operator Product Expansion / 2.5:
Operator Algebra of Chiral Quasi-Primary Fields / 2.6:
Conformal Ward Identity / 2.6.1:
Two- and Three-Point Functions / 2.6.2:
General Form of the OPE for Chiral Quasi-Primary Fields / 2.6.3:
Normal Ordered Products / 2.7:
The CFT Hilbert Space / 2.8:
Simple Examples of CFTs / 2.9:
The Free Boson / 2.9.1:
The Free Fermion / 2.9.2:
The (b,c) Ghost Systems / 2.9.3:
Highest Weight Representations of the Virasoro Algebra / 2.10:
Correlation Functions and Fusion Rules / 2.11:
Non-Holomorphic OPE and Crossing Symmetry / 2.12:
Fusing and Braiding Matrices / 2.13:
Further Reading
Symmetries of Conformal Field Theories / 3:
Ka?-Moody Algebras / 3.1:
The Sugawara Construction / 3.2:
Highest Weight Representations of Sû(2)k / 3.3:
The Sô(N)1 Current Algebra / 3.4:
The Knizhnik-Zamolodchikov Equation / 3.5:
Coset Construction / 3.6:
W Algebras / 3.7:
Conformal Field Theory on the Torus / 4:
The Modular Group of the Torus and the Partition Function / 4.1:
Examples for Partition Functions / 4.2:
The Free Boson on a circle / 4.2.1:
The Free Boson on a circle of Radius R=?2k / 4.2.3:
The Free Boson Orbifold / 4.2.4:
The Verlinde Formula / 4.3:
The Sû(2)k Partition Functions / 4.4:
Modular Invariants of Virc<1 / 4.5:
The Parafermions / 4.6:
Simple Currents / 4.7:
Additional Topics / 4.8:
Asymptotic Growth of States in RCFTs / 4.8.1:
Dilogarithm Identities / 4.8.2:
Supersymmetric Conformal Field Theory / 5:
N=1 Superconformal Models / 5.1:
N=2 Superconformal Models / 5.2:
Chiral Ring / 5.3:
Spectral Flow / 5.4:
Coset Construction for the N ? 2 Unitary Series / 5.5:
Gepner Models / 5.6:
Massless Models of Gepner Models / 5.7:
Boundary Conformal Field Theory / 6:
The Boson with Boundaries / 6.1:
Boundary Conditions / 6.1.1:
Partition Function / 6.1.2:
Boundary States for the Free Boson / 6.2:
Tree-Level Amplitudes / 6.2.1:
Boundary States for RCFTs / 6.3:
CFTs on Non-Orientable Sufraces / 6.4:
Crosscap States for the Free Boson / 6.5:
Crosscap States for RCFTs / 6.6:
he Orientifold of the Bosonic String / 6.7:
Concluding Remarks
General Books on CFT and String Theory|259
Index
Introduction / 1:
Basics in Conformal Field Theory / 2:
he Conformal Group / 2.1:
10.

電子ブック

EB
Philippe Di Francesco, Pierre Mathieu, David Sénéchal
出版情報: New York : Springer, [20--]  xxi, 890 p. ; 25 cm
シリーズ名: Graduate texts in contemporary physics
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