

A122505


Arises from energy spectrum of three dimensional gravity with negative cosmological constant, in analysis by Edward Witten.


0



24, 24, 95, 1, 143, 1, 262, 213, 453, 261, 739, 833, 1169, 1168, 2172, 2505, 3104, 3581, 5255, 6449
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OFFSET

1,1


COMMENTS

Abstract: "We consider the problem of identifying the CFT's that may be dual to pure gravity in three dimensions with negative cosmological constant. The ctheorem indicates that threedimensional pure gravity is consistent only at certain values of the coupling constant and the relation to ChernSimons gauge theory hints that these may be the values at which the dual CFT can be holomorphically factorized. If so and one takes at face value the minimum mass of a BTZ black hole, then the energy spectrum of threedimensional gravity with negative cosmological constant can be determined exactly. At the most negative possible value of the cosmological constant, the dual CFT is very likely the monster theory of Frenkel, Lepowsky and Meurman. The monster theory may be the first in a discrete series of CFT's that are dual to threedimensional gravity. The partition function of the second theory in the sequence can be determined on a hyperelliptic Riemann surface of any genus. We also make a similar analysis of supergravity."


LINKS

Table of n, a(n) for n=1..20.
Edward Witten, ThreeDimensional Gravity Revisited, Table 1, p. 46.
"GH", Strings 2007, thread of "Not Even Wrong" Physics blog, edited by Peter Woit, (woit(AT)math.columbia.edu), thread initiated Jun 25 2007, comment by "GH" extending sequence dated Jul 01 2007.


CROSSREFS

Sequence in context: A185750 A040553 A022358 * A103640 A004011 A056465
Adjacent sequences: A122502 A122503 A122504 * A122506 A122507 A122508


KEYWORD

sign,uned


AUTHOR

Jonathan Vos Post, Jun 25 2007, Jul 03 2007


EXTENSIONS

a(11)a(20) given by "GH" at Not Even Wrong Blog; not verified as correct; commenter email unknown.


STATUS

approved



