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1 |
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- Introduction.
- Lorentz invariance, light-cone coordinates and extra dimensions.
- Electromagnetism and gravitation in various dimensions.
- Large extra dimensions.
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2 |
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- Non-relativistic strings and their dynamics.
- Action principle and Lagrangian.
- The relativistic point particle, its action and equations of motion.
- Charged point particle.
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3 |
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- Relativistic strings and the Nambu-Goto action.
- Stretched strings and the static gauge.
- String parametrization and general solutions of the equations of motion.
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4 |
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- Light-cone solution of the string equations of motion.
- Light cone quantum fields and particle states.
- The quantization of the relativistic point particle.
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5 |
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- Quantization of relativistic open strings.
- Transverse Virasoro operators.
- The critical dimension.
- The emergence of electromagnetism.
- Tachyons and D-branes.
- Quantization of closed strings.
- The emergence of gravity in string theory.
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6 |
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- D-branes of various dimensionalities, quantization of open strings stretched between D-branes.
- String charge and Kalb-Ramond fields.
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7 |
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- T-duality of closed strings.
- T-duality of open strings.
- Wilson lines.
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8 |
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- String thermodynamics, Hagedorn temperature and black hole entropy.
- D-branes with electric or magnetic fields.
- Born-Infeld electrodynamics.
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9 |
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- String interactions and Riemann surfaces.
- The moduli space of the torus.
- Finiteness.
- A survey of fermionic string theories.
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