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String Theory

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These pages are notes following Barton Zwiebach's book "A First Course in String Theory", 2nd Edition (2009). This is at the advanced undergraduate
or beginning graduate level. It is focused mostly on bosonic string theory and light-cone quantization, mostly not heterotic or string field theory
or Lorentz covariant quantization. The pages may extend into more advanced subjects later, using those chapters as a framework. I will initially focus on working on solutions for the problems in Zwiebach's textbook. Mostly these should be correct, if occasionally more prosaic than necessary, but they have not been subjected to grading in a university.

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Solutions I expect are significantly flawed are marked (**). Those I feel should be essentially correct, but may not quite be what the problem is looking for, or may be lacking in sufficient rigor will be marked (*). These might have a "fuzzy" step or steps. To paraphrase something I heard Sylvester Gates say once about grading student homework (and later about a paper by Stephen Hawking): "You read it from top to bottom, then bottom to top. Somewhere in the middle they proved the existence of God."

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Part I: Basics

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I. Basics

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What is string theory?

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Heuristic Overview

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II. Special Relativity and Extra Dimensions

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III. Electromagnetism and Gravitation in Various Dimensions

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IV. Nonrelativistic Strings

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V. Relativistic Point Particles

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VI. Relativistic Strings

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Problem Set Solutions: Chapter Six, Zwiebach

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VII. String Parameterization and Classical Motion

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Problem Set Solutions: Chapter Seven, Zwiebach

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VIII. World-Sheet Currents

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Problem Set Solutions: Chapter Eight, Zwiebach

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IX. Light-cone Relativistic Strings

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Problem Set Solutions: Chapter Nine, Zwiebach

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X. Light-cone Fields and Particles

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Problem Set Solutions: Chapter Ten, Zwiebach

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XI. Relativistic Quantum Point Particle

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Problem Set Solutions: Chapter Eleven, Zwiebach

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XII. Relativistic Quantum Open Strings

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Problem Set Solutions: Chapter Twelve, Zwiebach

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XIII. Relativistic Quantum Closed Strings

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Problem Set Solutions: Chapter Thirteen, Zwiebach

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XIV. Relativistic Superstrings

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Problem Set Solutions: Chapter Fourteen, Zwiebach

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*Last updated: 12/21/2020*