TY - JOUR

T1 - SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings

AU - Endres, Michael G.

AU - Kuroki, Tsunehide

AU - Sugino, Fumihiko

AU - Suzuki, Hiroshi

N1 - Funding Information:
We would like to thank Rajesh Gopakumar, Hirotaka Irie, Satoshi Iso, Hiroshi Itoyama, Shoichi Kawamoto, Ivan Kostov, Sanefumi Moriyama, Koichi Murakami, Ricardo Schiappa, Hidehiko Shimada, Yuji Sugawara, Tsukasa Tada, Tadashi Takayanagi and Tamiaki Yoneya for useful discussions and comments. The authors thank the Yukawa Institute for Theoretical Physics at Kyoto University and the High Energy Accelerator Research Organization (KEK) . Discussions during the YITP workshop “Gauge/Gravity duality” (October, 2012) and the KEK theory workshop 2013 (March, 2013) were useful to complete this work. The work of M.G.E. is supported in part by MEXT Grant-in-Aid for Young Scientists (B), 23740227 . The work of T.K. is supported in part by Rikkyo University Special Fund for Research and JSPS Grant-in-Aid for Scientific Research (C), 25400274 . The work of F.S. is supported in part by JSPS Grant-in-Aid for Scientific Research (C), 21540290 and 25400289 . The work of H.S. is supported in part by JSPS Grant-in-Aid for Scientific Research (C), 23540330 .

PY - 2013/11/21

Y1 - 2013/11/21

N2 - We explicitly compute nonperturbative effects in a supersymmetric double-well matrix model corresponding to two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background. We analytically determine the full one-instanton contribution to the free energy and one-point function, including all perturbative fluctuations around the one-instanton background. The leading order two-instanton contribution is determined as well. We see that supersymmetry is spontaneously broken by instantons, and that the breaking persists after taking a double scaling limit which realizes the type IIA theory from the matrix model. The result implies that spontaneous supersymmetry breaking occurs by nonperturbative dynamics in the target space of the IIA theory. Furthermore, we numerically determine the full nonperturbative effects by recursive evaluation of orthogonal polynomials. The free energy of the matrix model appears well-defined and finite even in the strongly coupled limit of the corresponding type IIA theory. The result might suggest a weakly coupled theory appearing as an S-dual to the two-dimensional type IIA superstring theory.

AB - We explicitly compute nonperturbative effects in a supersymmetric double-well matrix model corresponding to two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background. We analytically determine the full one-instanton contribution to the free energy and one-point function, including all perturbative fluctuations around the one-instanton background. The leading order two-instanton contribution is determined as well. We see that supersymmetry is spontaneously broken by instantons, and that the breaking persists after taking a double scaling limit which realizes the type IIA theory from the matrix model. The result implies that spontaneous supersymmetry breaking occurs by nonperturbative dynamics in the target space of the IIA theory. Furthermore, we numerically determine the full nonperturbative effects by recursive evaluation of orthogonal polynomials. The free energy of the matrix model appears well-defined and finite even in the strongly coupled limit of the corresponding type IIA theory. The result might suggest a weakly coupled theory appearing as an S-dual to the two-dimensional type IIA superstring theory.

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U2 - 10.1016/j.nuclphysb.2013.09.005

DO - 10.1016/j.nuclphysb.2013.09.005

M3 - Article

AN - SCOPUS:84884977596

SN - 0550-3213

VL - 876

SP - 758

EP - 793

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -