# Least Action

Nontrivializing triviality..and vice versa.

## Errata for Basic Concepts of String Theory by Blumenhagen, Lüst and Theisen

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This is an unofficial errata for the book Basic Concepts of String Theory by Ralph Blumenhagen, Dieter Lüst and Stefan Theisen. I couldn’t find an official errata, but I’ll probably discontinue this at some point when I do run into one.

Chapter 2: The Classical Bosonic String

• Page 8. The line below equation 2.3. There should be two dots, one each on $x^\mu$ and $x^\nu$ in the definition of $\dot{x}^2$.

Chapter 8: The Quantized Fermionic String

• Page 213: Equation 8.56. There is only one charge conjugation matrix in odd dimension d = 2n+1, either $C_+$ or $C_-$. To find out which one it is, for odd $d$, determine $d(d-1)/2$: if this is even, $C_+$ exists; if it is odd, $C_-$ exists. So, equation 8.56 is wrong: one should use $C_-$ for odd $n$, and $C_+$ for even $n$.To derive this criterion, compute $C \gamma_c C^{-1}$ and observe that it equals $(-1)^{d(d-1)/2} \gamma_c$ in general, which determines whether $C = C_+$ or $C = C_-$. For a quick list of charge conjugation matrices in various dimensions and their symmetry properties, see page 11 of http://www.nikhef.nl/~t45/ftip/AppendixE.pdf.

Chapter 14: String Compactifications

• Page 453: below equation 14.70. There’s an extra q after $\Lambda^q$.
• Page 454: Equation 14.76. There’s an extra $\wedge$ after $\bar{\partial}_j \omega_{i_1,\ldots i_p \bar{j}_1\ldots \bar{j}_p}$.
• Page 510: Equation 14.262. The $e^{e}$ on the right-hand side in the local Lorentz transformation of the vielbein should be $e^{b}$.

Chapter 18: String Dualities and M-Theory

• Page 690: The expression for $\tilde{F}^{(p+2)}$ in the paragraph below equation (18.26) has extra indices. It is the contraction of $\tilde{F}_{M_{0}\ldots M_{p+1}}$ with $\tilde{F}^{M_{0}\ldots M_{p+1}}$.
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Written by Vivek

December 27, 2014 at 15:05

Posted in Errata, String Theory

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