Introduction to conformal field theory : with applications to string theory

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Introduction to conformal field theory : with applications to string theory / R. Blumenhagen, E. Plauschinn

資料種別:

図書

出版情報:

Berlin : Springer, c2009

形態:

xi, 265 p. ; 25 cm

シリーズ名:

Lecture notes in physics ; 779 <BA00010187>

著者名:

ISBN:

9783642004490 [3642004490]

書誌ID:

BA91030744

子書誌情報

フルテキスト

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書誌詳細

注記:

Includes bibliographical references and index

主題:

Conformal invariants; String models

言語:

英語

目次情報:

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：

Conformal Invariance / 2.1.1：

Conformal Group in d ? 3 / 2.1.2：

Conformal Group in d ? 2 / 2.1.3：

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