TY - JOUR

T1 - Effective action for membrane dynamics in DLCQ M theory on a two-torus

AU - Hyun, Seungjoon

AU - Kiem, Youngjai

AU - Shin, Hyeonjoon

PY - 1999

Y1 - 1999

N2 - The effective action for the membrane dynamics on the background geometry of the (Formula presented)-sector discrete light-cone quantization (DLCQ) M theory compactified on a two-torus is computed via supergravity. We compare it to the effective action obtained from the matrix theory, i.e., the (Formula presented)-dimensional supersymmetric Yang-Mills (SYM) theory, including the one-loop perturbative and full nonperturbative instanton effects. Consistent with the DLCQ prescription of M theory in the manner of Susskind, we find the precise agreement for the finite (Formula presented) sector (off-conformal regime), as well as for the large (Formula presented) limit (conformal regime), providing us with a concrete example of the correspondence between the matrix theory and the DLCQ M theory. Nonperturbative instanton effects in the SYM theory conspire to yield the eleven-dimensionally covariant effective action.

AB - The effective action for the membrane dynamics on the background geometry of the (Formula presented)-sector discrete light-cone quantization (DLCQ) M theory compactified on a two-torus is computed via supergravity. We compare it to the effective action obtained from the matrix theory, i.e., the (Formula presented)-dimensional supersymmetric Yang-Mills (SYM) theory, including the one-loop perturbative and full nonperturbative instanton effects. Consistent with the DLCQ prescription of M theory in the manner of Susskind, we find the precise agreement for the finite (Formula presented) sector (off-conformal regime), as well as for the large (Formula presented) limit (conformal regime), providing us with a concrete example of the correspondence between the matrix theory and the DLCQ M theory. Nonperturbative instanton effects in the SYM theory conspire to yield the eleven-dimensionally covariant effective action.

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U2 - 10.1103/PhysRevD.59.021901

DO - 10.1103/PhysRevD.59.021901

M3 - Article

AN - SCOPUS:16444373247

SN - 1550-7998

VL - 59

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 2

ER -