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2 votes
1 answer
174 views

Light-cone quantization of open string as derived in Polchinski

Polchinski uses the following gauge conditions, but I don't follow this procedure of gauge fixing and quantization: \begin{align} X^+ = \tau, \tag{1.3.8a} \\ \partial_\sigma \gamma_{\sigma \sigma} = 0,...
physicsbootcamp's user avatar
3 votes
0 answers
112 views

Why are there only two 496-dim. gauge groups $E_8\times E_8$ and $SO(32)$ allowed in string theory? Why not $E_8\times U(1)^{248}$ or $U(1)^{496}$?

While constructing anomaly-free string theories with $\mathcal N=1$ supersymmetry (16 supercharges constituting a Majorana-Weyl spinor), we learn that the gauge group must be 496-dimensional in order ...
Tevatron5's user avatar
1 vote
1 answer
279 views

Gauge anomaly in Polyakov string and Faddeev-Popov method

I am currently trying to gain a better understanding of the gauge fixing procedure used in chapter 5 of David Tong's notes. Since the central charge of the Polyakov action for, say, the bosonic ...
Leonard's user avatar
  • 261
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
5 votes
2 answers
571 views

Kaluza-Klein in superstring theory

In superstring theory, it says that they wrap 16 dimensions on a torus given by $\mathbb{R}^{16}$ divided by a SO(32) or $E_8 \times E_8$ lattice and this gives a gauge group of the same name. But in ...
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