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View Full Version : [SOLVED] BH entropy from Cardy formula


Urs Schreiber
Jun23-04, 01:05 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>Today a paper appeared which claims to present some improvements and\nclarifications for the derivation of black hole entropy from the usage\nof conformal invariance of a certain near horizon conformal invariance\n(related but not restricted to the geometry of 2+1 dimensional BTZ\nblack holes) by means of the Cardy formula, which was originally done\nby Steve Carlip:\n\nM. Cvitan, S. Pallua, P. Prester:\nConformal entropy as a consequence of the properties of stationary\nKilling horizons,\nhep-th/0406186\n\nI have once talked with Steve Carlip\n\n(http://groups.google.de/groups?selm=btfban%24a6j%243%40woodrow.ucdavis.edu )\n\nabout the question whether the Virasoro algebra one uses in this\ncalculation could be interpreted as pertaining to a string on the\n\'stretched\' horizon, as in the string/BH correspondence principle\n\n(http://golem.ph.utexas.edu/string/archives/000379.html).\n\nHis answer was roughly that this might be a possible explanation, but\nthat he doesn\'t know about a compelling and direct relation.\n\nDoes anyone here know how the calculations of BH entropy by means of\nthe Cardy formula might be related to string theory? In particular,\ncould it be an exact formulation of the order-of-magnitude estimates\nthat the above mentioned string/BH correspondence principle admits?\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Today a paper appeared which claims to present some improvements and
clarifications for the derivation of black hole entropy from the usage
of conformal invariance of a certain near horizon conformal invariance
(related but not restricted to the geometry of 2+1 dimensional BTZ
black holes) by means of the Cardy formula, which was originally done
by Steve Carlip:

M. Cvitan, S. Pallua, P. Prester:
Conformal entropy as a consequence of the properties of stationary
Killing horizons,
http://www.arxiv.org/abs/hep-th/0406186

I have once talked with Steve Carlip

(http://groups.google.de/groups?selm=btfban%24a6j%243%40woodrow.ucdavis.edu )

about the question whether the Virasoro algebra one uses in this
calculation could be interpreted as pertaining to a string on the
'stretched' horizon, as in the string/BH correspondence principle

(http://golem.ph.utexas.edu/string/archives/000379.html).

His answer was roughly that this might be a possible explanation, but
that he doesn't know about a compelling and direct relation.

Does anyone here know how the calculations of BH entropy by means of
the Cardy formula might be related to string theory? In particular,
could it be an exact formulation of the order-of-magnitude estimates
that the above mentioned string/BH correspondence principle admits?