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4 votes
0 answers
132 views

Normalization of zero point energy in string theory

Following Joe Polchinski’s Little Book of String, page 12, he use the sum $$1+2+3+...=-1/12$$ to find the zero point energy of the bosonic string (and later used the result to argue that we must have ...
ziv's user avatar
  • 1,734
8 votes
2 answers
3k views

Weyl anomaly in 2d CFT (string theory lectures by D.Tong)

In his lectures on String Theory (http://www.damtp.cam.ac.uk/user/tong/string.html), Tong gives a proof of the Weyl anomaly, using equation $(4.37)$. It seems wrong to me. Here he uses the OPE between ...
Weyl's user avatar
  • 106
5 votes
0 answers
232 views

Where does chiral matter at conical singularities "come from" in M-theory?

It seems to be accepted that to produce chiral fermionic matter in a compactification $\mathbb{R}^4\times X$ of M-theory/11d SUGRA to four dimensions, we need the seven-manifold $X$ to have isolated (...
ACuriousMind's user avatar
  • 126k
4 votes
1 answer
294 views

Regularization and renomalization in the lightcone quantization of bosonic string

This question relates to this link. But I still don't understand it >_< In Polchinski's string theory vol I, p. 22, there is a divergence term (when $\epsilon \rightarrow 0$) in the zero point ...
user26143's user avatar
  • 6,401