I am working on Zweibach's First Course in String Theory and question 2.4 asks: Show that there are two points on the circle that are left fixed by the(adsbygoogle = window.adsbygoogle || []).push({}); Z2 action. (For those without the text, the circle is the space -1 < x <= +1, identified by x ~ x + 2. And theZ2 mod imposes the x ~ -x identification on the circle.)

I know that x = 0 is one of the fixed points, but the other alludes me. Just a guess, is it the center??? but that isnotin the fundamental domain!

...eek!

Thanks in advance,

-LD

_______________________________________

my bread: http://www.joesbread.com/ [Broken]

my faith: http://www.angelfire.com/ny5/jbc33/

**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!

# How many fixed points on a circle S/Z2?

Loading...

Similar Threads - many fixed points | Date |
---|---|

I Let A = {1,2,3,4,5,6.} # of many different relations possible | Nov 21, 2016 |

A How many times does the light reflect? | Nov 13, 2016 |

How many pages of math can you absorb in one day? | Aug 15, 2016 |

B How many rings can you guess? -Riddle | Jun 16, 2016 |

A few more questions about fixed point iteration ...? | Jan 26, 2016 |

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