In string theory, the Neveu-Schwarz [itex]B[/itex]-field appears in the action:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

S_{NS}=\frac{1}{4\pi\alpha^\prime}\int d^2\xi\;\epsilon^{\mu\nu}B_{ij}\partial_\mu X^i\partial_\nu X^j.

[/tex]

In Polchinski's text, the antisymmetric tensor appears in the form of

[tex]

\frac{1}{4\pi\alpha^\prime}\int d^2\xi\;\sqrt{\gamma}i\epsilon^{\mu\nu}B_{ij}\partial_\mu X^i\partial_\nu X^j,

[/tex]

where [itex]\gamma[/itex] is the world sheet metric.

(1)

These terms are same?

Terms apparently these terms seem to be called NS-NS 2-form, Wess-Zumino-Witten term, or just antisymmeteric tensor. These terminologies are the same meaning?

(2)

What's the definition of [itex]\epsilon^{\mu\nu}[/itex]?

(3)

Is this term conformal invariant?

Could you show the invariance?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Questions about Neveu-Schwarz B-field

Loading...

Similar Threads - Questions Neveu Schwarz | Date |
---|---|

A Question about Wall crossing formula | Nov 18, 2017 |

B Questions about Quantum Gravity | Oct 7, 2017 |

I Philosophy of Science and Symmetry Question | Jan 16, 2017 |

B Quantum gravity question | Oct 6, 2016 |

Neveu-Schwarz/Ramond sectors and chirality | Mar 29, 2006 |

**Physics Forums - The Fusion of Science and Community**