skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Covariant Action for the Super-Five-Brane of {ital M} Theory

Abstract

We propose a complete, d=6 covariant and kappa-symmetric, action for the M theory five-brane propagating in D=11 supergravity background. This opens a direct way of relating a wide class of super-p -brane solutions of string theory with the five-brane of M theory, which should be useful for studying corresponding dualities and nonperturbative aspects of these theories. {copyright} {ital 1997} {ital The American Physical Society}

Authors:
; ;  [1]; ; ;  [2]
  1. National Science Center, Kharkov Institute of Physics and Technology , Kharkov, 310108 (Ukraine)
  2. Dipartimento Di Fisica Galileo Galilei ed INFN, Sezione di Padova, Universita Degli Studi di Padova, Via F. Marzolo, 8, 35131 Padova, (Italy)
Publication Date:
OSTI Identifier:
587195
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 78; Journal Issue: 23; Other Information: PBD: Jun 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; STRING MODELS; ACTION INTEGRAL; SUPERGRAVITY; DUALITY; TRANSFORMATIONS

Citation Formats

Bandos, I., Nurmagambetov, A., Sorokin, D., Lechner, K., Pasti, P., and Tonin, M. Covariant Action for the Super-Five-Brane of {ital M} Theory. United States: N. p., 1997. Web. doi:10.1103/PhysRevLett.78.4332.
Bandos, I., Nurmagambetov, A., Sorokin, D., Lechner, K., Pasti, P., & Tonin, M. Covariant Action for the Super-Five-Brane of {ital M} Theory. United States. doi:10.1103/PhysRevLett.78.4332.
Bandos, I., Nurmagambetov, A., Sorokin, D., Lechner, K., Pasti, P., and Tonin, M. 1997. "Covariant Action for the Super-Five-Brane of {ital M} Theory". United States. doi:10.1103/PhysRevLett.78.4332.
@article{osti_587195,
title = {Covariant Action for the Super-Five-Brane of {ital M} Theory},
author = {Bandos, I. and Nurmagambetov, A. and Sorokin, D. and Lechner, K. and Pasti, P. and Tonin, M.},
abstractNote = {We propose a complete, d=6 covariant and kappa-symmetric, action for the M theory five-brane propagating in D=11 supergravity background. This opens a direct way of relating a wide class of super-p -brane solutions of string theory with the five-brane of M theory, which should be useful for studying corresponding dualities and nonperturbative aspects of these theories. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevLett.78.4332},
journal = {Physical Review Letters},
number = 23,
volume = 78,
place = {United States},
year = 1997,
month = 6
}
  • We discuss long-distance, low-velocity interaction potentials for processes involving a longitudinal M5-brane (corresponding in type IIA theory language to the 1/4 supersymmetric bound state of a 4-brane and 0-brane). We consider the following scattering configurations: (a) a D=11 graviton off longitudinal M5-brane, or, equivalently, 0-branes off marginal 4{parallel}0 bound state; an (b) M2-brane off longitudinal M5-brane, or, equivalently, a nonmarginal 2+0 bound state off marginal 4{parallel}0 bound state; (c) two parallel longitudinal M5-branes, or, equivalently, two 4{parallel}0 marginal bound states. We demonstrate the equivalence between the classical string theory (supergravity) and M(atrix) model (one-loop super Yang-Mills) results for the leadingmore » terms in the interaction potentials. The supergravity results are obtained using a generalization of a classical probe method which allows one to treat bound states of D-branes as probes by introducing nonzero world-volume gauge field backgrounds. {copyright} {ital 1997} {ital The American Physical Society}« less
  • There exist extremal {ital p}-brane solutions of {ital D}=11 supergravity for {ital p}=2 and 5. In this paper we investigate the zero modes of the membrane and the five-brane solutions as a first step toward understanding the full quantum theory of these objects. It is found that both solutions possess the correct number of normalizable zero modes dictated by supersymmetry. {copyright} {ital 1996 The American Physical Society.}
  • We show how a solitonic {open_quote}{open_quote}magnetically{close_quote}{close_quote} charged {ital p}-brane solution of a given supergravity theory, with the magnetic charge carried by an antisymmetric tensor gauge field, can be generalized to a dyonic solution. We discuss the cases of ten-dimensional and eleven-dimensional supergravity in more detail and a new dyonic five-brane solution in ten dimensions is given. Unlike the purely electrically or magnetically charged five-brane solution the dyonic five-brane contains nonzero Ramond-Ramond fields and is, therefore, an intrinsically type II solution. The solution preserves half of the type II spacetime supersymmetries. It is obtained by applying a solution-generating SL(2,{ital R}){times}SL(2,{ital R})more » {ital S} duality transformation to the purely magnetically charged five-brane solution. One of the SL(2,{ital R}) duality transformations is basically an extension to the type II case of the six-dimensional {ital Z}{sub 2} string-string duality. We also present an action underlying the type IIB supergravity theory. {copyright} {ital 1996 The American Physical Society.}« less
  • We compute the gravitational coupling F{sub 1} for type IIA string theory on K3{times}T{sup 2} and use string-string duality to deduce the corresponding term for heterotic string on T{sup 6}. The latter is an infinite sum of gravitational instanton effects which we associate with the effects of Euclidean five-branes wrapped on T{sup 6}. These five-branes are the neutral five-branes or zero-size instantons of heterotic string theory. {copyright} {ital 1998} {ital The American Physical Society}