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Book Categories |
| I.0 | Introduction | 1 |
| I.1 | The two-dimensional Plateau problem | 7 |
| I.2 | Topological and metric structures on the space of mappings and metrics | 11 |
| Appendix to I.2 | ILH-structures | 17 |
| I.3 | Harmonic maps and global structures | 21 |
| I.4 | Cauchy-Riemann operators | 31 |
| I.5 | Zeta-function and heat-kernel determinants of an operator | 36 |
| I.6 | The Faddeev-Popov procedure | 41 |
| I.6.1 | The Faddeev-Popov map | 41 |
| I.6.2 | The Faddeev-Popov determinant: the case G=H | 44 |
| I.6.3 | The Faddeev-Popov determinant: the general case | 46 |
| I.7 | Determinant bundles | 48 |
| I.8 | Chern classes of determinant bundles | 59 |
| I.9 | Gaussian measures and random fields | 66 |
| I.10 | Functional quantization of the Hoegh-Krohn and Liouville models on a compact surface | 75 |
| I.11 | Small time asymptotics for heat-kernel regularized determinants | 85 |
| II.1 | Quantization by functional integrals | 92 |
| II.2 | The Polyakov measure | 96 |
| II.3 | Formal Lebesgue measures on Hilbert spaces | 101 |
| II.4 | The Gaussian integration on the space of embeddings | 106 |
| II.5 | The Faddeev-Popov procedure for bosonic strings | 109 |
| II.6 | The Polyakov measure in noncritical dimension and the Liouville measure | 113 |
| II.7 | The Polyakov measure in the critical dimension d=26 | 117 |
| II.8 | Correlation functions | 122 |
| References | 126 | |
| Index | 133 |
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Michael Silva
reviewed A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods, Vol. 225 on November 02, 2014
A Mathematical Introduction to String Theory
Excellent philosophy book. Yes, I know it's physics but it's also philosophy.
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Add A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods, Vol. 225, Classical string theory is concerned with the propagation of classical one-dimensional curves, i.e. strings, and has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise to problems , A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods, Vol. 225 to the inventory that you are selling on WonderClubX
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Add A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods, Vol. 225, Classical string theory is concerned with the propagation of classical one-dimensional curves, i.e. strings, and has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise to problems , A Mathematical Introduction to String Theory: Variational Problems, Geometric and Probabilistic Methods, Vol. 225 to your collection on WonderClub |