2012

One dimensional supersymmetric Yang-Mills theory with 16 supercharges

Kadoh, Daisuke, Kamata, Syo

Understand

We report on numerical simulations of one dimensional maximally supersymmetric SU(N) Yang-Mills theory, by using the lattice action with two exact supercharges.

Based on the gauge/gravity duality, the gauge theory corresponds to N D0-branes system in type IIA superstring theory at finite temperature.
We aim to verify the gauge/gravity duality numerically by comparing our results of the gauge side with analytic solutions of the gravity side.
First of all, by examining the supersymmetric Ward-Takahashi relation, we show that supersymmetry breaking effects from the cut-off vanish in the continuum limit and our lattice theory has the desired continuum limit.

Built on

C. Vafa and E. Witten, “A Strong coupling test of S duality,” Nucl. Phys. B 431
1994
Earlier work this paper cites.
I. R. Klebanov and A. A. Tseytlin, “Entropy of near extremal black p-branes,” Nucl. Phys. B 475
1996
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
F. Sugino, “A Lattice formulation of super Yang-Mills theories with exact supersymmetry,” Nucl. Phys. Proc. Suppl. 140
2005
Earlier work this paper cites.

Similar

D. B. Kaplan and M. Unsal, “A Euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges,” JHEP 0509
2005
Cited alongside, same era.
N. Kawahara, J. Nishimura and S. Takeuchi, “High temperature expansion in supersymmetric matrix quantum mechanics,” JHEP 0712
Original
2007
Cited alongside, same era.
K. N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, “Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature,” Phys. Rev. Lett. 100
Original
2008
Cited alongside, same era.
M. Hanada, Y. Hyakutake, J. Nishimura and S. Takeuchi, “Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics,” Phys. Rev. Lett. 102
Original
2009
Cited alongside, same era.
D.Kadoh and S.Kamata, ”Toward numerical verification of the gauge/gravity duality in 1d SYM with 16 supercharges.”, in preparation
Cited in the paper.
D.Kadoh and S.Kamata, ”Black hole thermodynamics from lattice simulations of 1d SYM with 16 supercharges.”, in preparation
Cited in the paper.

Then

I. Kanamori and H. Suzuki, “Restoration of supersymmetry on the lattice: Two-dimensional N = (2,2) supersymmetric Yang-Mills theory,” Nucl. Phys. B 811
Original
2009
Later among the works it cites.
M. Hanada, J. Nishimura, Y. Sekino and T. Yoneya, “Monte Carlo studies of Matrix theory correlation functions,” Phys. Rev. Lett. 104
Original
2010
Later among the works it cites.
S. Catterall and T. Wiseman, “Towards lattice simulation of the gauge theory duals to black holes and hot strings,” JHEP 0712
Original
2010
Later among the works it cites.
M. Hanada, A. Miwa, J. Nishimura and S. Takeuchi, “Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics,” Phys. Rev. Lett. 102
Original
2081
Closest in time.

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