Gaugegravity duality from first principles

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Gauge/gravity duality from first principles

• Jun Nishimura (KEK, SOKENDAI)

Ref Hanada-J.N.-Takeuchi, arXiv0706.1647
hep-lat, to appear in PRL
Anagnostopoulos-Hanada- J.N.-Takeuchi,
arXiv0707.4454 hep-th
Gauge/gravity duality (non-conformal ver.)
Itzhaki-Maldacena-Sonnenschein-Yankielowicz 98
1 dim. U(N) gauge theory with 16 supercharges
at finite T
dual geometry black D0 brane solution in type
IIA SUGRA
Klebanov-Tseytlin 96
By studying this SUSY gauge theory by Monte Carlo
simulation,
we confirm the conjectured duality from first
principles.
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Monte Carlo results
internal energy
free energy
high T exp. (incl. next-leading)
obtained from dual BH geometry
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Implications of our results

• Microscopic d.o.f. which accounts for the B.H.
  entropy
• has been identified.

c.f) much stronger results than
Strominger-Vafa (96)
2) SUSY gauge theory provides a natural
framework for quantum description of B.H.
at T not very small
(where classical description of B.H. is no more
valid.)
Future prospects

• physical meaning of infrared instability at
  finite N, T

• identifying Schwarzschild radius in gauge theory

• simulating M-theory based on Matrix Theory
  conjecture

Banks-Fischler-Shenker-Susskind 97