T. Banks, M. R. Douglas, G. T. Horowitz, and E. Martinec, hep-th/9808016.  Home/Search   Document Not in Database   Summary   APS   Related Articles   Check

....Recently Polchinski [20] and Susskind [21] have proposed an expression for the S matrix in at spacetime in terms of the large N limit of the gauge theory living on the boundary of the AdS space. A related derivation is given in [22] In this note we discuss this proposal. It was suggested [16, 17] that a quantum eld (t; x) in the bulk of AdS 5 and the corresponding operator O(t; x) in the gauge theory at the boundary are related by a simple formula lim r 1 r 4 (t; x) O(t; x) 1) Such a formula might be interpreted from two di erent points of view. One can assume that the eld ....

T. Banks, M. R. Douglas, G. T. Horowitz, and E. Martinec, hep-th/9808016.

....to its discrete subgroup to a background field, thus restoring the full continuous global symmetry. y Here and throughout the paper, a fermion means a left handed two component Weyl spinor. 7 We have to note that anomalies of discrete symmetries have been considered previously in Refs. [23, 24, 25]. In these papers, the authors considered the consequences of gauging the discrete symmetries [26] on the low energy spectrum. The assumption was that all global symmetries are broken by quantum gravitational effects, and hence only gauged discrete symmetries can be realized on a realistic ....

....symmetries. For our purpose, we do not assume that discrete symmetries have to be anomaly free. Instead, we are going to compare the anomalies of the discrete symmetries between the high energy and the low energy theories. Even though the spirit of our work is very different from that of Refs. [23, 24, 25], the arguments below for discrete anomaly matching will be in many aspects similar to those in [23, 24, 25] Our first argument for discrete anomaly matching is based on instantons and resembles the spirit of Refs. 23, 25] while our second argument of restoring the continuous symmetry is closer ....

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T. Banks and M. Dine, Phys. Rev. D45, 1424 (1992), hep-th/9109045.

....of equations of constraint. In the 4 dimensional case these constraints are absent, and an alternative solution procedure is outlined. 1 On research leave from the University of Durham, U.K. 2 2 Setting the Scene Subsequent to the proposal of Banks et al. for a matrix model of M theory [4] there has appeared a profusion of papers elaborating the issue [5] We take one such paper, 6] as a convenient reference point. The Lagrangian to be used, taken directly from [6] takes the form of a two dimensional N = 8 supersymmetric U(N) Yang Mills theory with the action S = 1 2 ff 0 Z ....

T. Banks, W. Fischler, S. Shenker, and L. Susskind, hep-th/9610043. Phys.Rev D55 (1997), 5112.

....scattering amplitudes of the M theory particles. The consistency of this conjecture was already examined in many ways (for recent review see [5] Compactifying Matrix theory on a circle one arrives at the N = 8 two dimensional supersymmetric SU(N) Yang Mills model [6] It was recently argued in [7, 8, 9] that in the large N limit the Yang Mills theory describes non perturbative dynamics of type IIA string theory, and the Yang Mills and string coupling constants were shown to be inverse to each other. The argumentation was based on the observation that in the IR limit the gauge theory is strongly ....

T.Banks and N.Seiberg, Nucl.Phys. B497 (1997) 41, hep-th/9702187.

....describe the type IIA string interaction. In this paper using this interaction vertex we derive the four graviton scattering amplitude from the orbifold model in the large N limit. Keywords: Matrix string; orbifold conformal field theory. 1 Introduction According to the Matrix theory conjecture [1] the quantum mechanics of N D particles [2] of type IIA string theory in the large N limit describes the eleven dimensional dynamics of M theory [3, 4] In particular, some subspace of the Hilbert space of the quantum mechanics model admits an interpretation in terms of the secondquantized Fock ....

T.Banks, W.Fischler, S.H.Shenker, and L.Susskind, Phys. Rev. D55 (1997) 5112, hep-th/9610043.

....quantum Boltzmann statistics, i.e. black hole can be represented as a Boltzmann gas of branes. This suggestion was based on [8] on the computation of the black hole entropy [12] and on the idea [13] about condensate of D0 branes in the large N limit for the matrix regularisation of membrane. In [14, 15, 16, 17] it was shown how to compute entropy of black hole by using the Boltzmann gas model in Matrix theory [18] Recently an exciting new development in the study of the large N limit for matrix models has been performed. It was proposed by Maldacena [22] that the large N limit of certain superconformal ....

T. Banks, W. Fischler, I. Klebanov, hep-th/9712236

....in order that it can be the correct counting of black hole states we need some non renormalization theorem guaranteeing the independence of counting states on coupling, which works only for BPS states, i.e. for extremal black holes. In this respect, however, we should mention the recent paper [7] which claims to give a microscopic description of Schwarzschild black holes which are obviously far from extremal. D brane description can be, in principle, applied to black holes in any space time dimensions, but the relationship between the microscopic degrees of freedom and the space time ....

T. Banks, et al., hep-th/9709091, Phys. Rev. Lett. 80, 226 (1998).

.... axion is expected as [3] F a 10 15 Gamma 10 16 GeV; 1) which contradicts the constraint, 10 10 GeV F a 10 12 GeV, derived in the standard cosmology [5] However, this problem may be solved by late time entropy production through decays of moduli (or Polonyi) fields [6, 7]. Since the late time decays produce so many LSP that the universe is overclosed, the LSP must be unstable [8] This implies rather an interesting case in which axions are the dark matter in the present universe. Unfortunately, the halo axions are hardly detected in near future axion search ....

....density may be M 4 11 . However, it is too large to have sufficiently long inflationary epoch. This is because the initial value of the inflaton is about the same as the critical value at which the inflation ends. The next choice is M 6 11 =M 2 4 (2 Theta 10 15 GeV) 4 as argued in ref. [7]. This vacuum energy density is also suggested by a recent analysis [10] in a hybrid inflation model. 1 Thus, we assume hereafter the vacuum energy density V (2 Theta 10 15 GeV) 4 (2) during the inflation, which leads to the Hubble constant H inf p V p 3M 4 10 12 GeV: 3) We are ....

T. Banks and M. Dine, hep-th/9608197.

....one M 4 ( 2 Theta 10 18 GeV) 2] The four dimensional Planck mass M 4 is only an effective parameter at low energies. This M theory description of strong coupling heterotic string theory leads to various interesting new phenomenologies. Recently, it has been pointed out by Banks and Dine [3] that some of string axions survive at low energies, since the world sheet instanton effects are suppressed owing to the large compactification radius in string tension unit. Thus, they play a role of the Peccei Quinn axion [4] The decay constant F a of the M theory axion is expected as [3] F a ....

....Dine [3] that some of string axions survive at low energies, since the world sheet instanton effects are suppressed owing to the large compactification radius in string tension unit. Thus, they play a role of the Peccei Quinn axion [4] The decay constant F a of the M theory axion is expected as [3] F a 10 15 Gamma 10 16 GeV; 1) which contradicts the constraint, 10 10 GeV F a 10 12 GeV, derived in the standard cosmology [5] However, this problem may be solved by late time entropy production through decays of moduli (or Polonyi) fields [6, 7] Since the late time ....

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T. Banks and M. Dine, hep-th/9605136.

....of interacting D0 branes, described by the D = 10 SYM theory reduced to one dimension, provides, in the large N limit, a constructive definition of M theory, the hypothetical theory encompassing all known string theories and eleven dimensional supergravity. It also led to Matrix string theory [3,4,5], which describes non perturbatively type IIA string theory by D = 10 SYM theory reduced to two dimensions. Finally, an interpretation of the completely reduced SYM theory as type IIB string theory has been advanced in [6] All three reduced SYM theories are closely related and, in the large N ....

T. Banks and N. Seiberg, Nucl. Phys. B497 (1997) 41, hep-th/9702187.

.... [1] can be computed in many different ways: from the string point of view, the short distance physics is entirely described by the open strings stretched between the branes [2] while, from the M(atrix) theory point of view, it is reproduced by super Yang Mills calculations in 0 1 dimensions [3] 1 . On the other hand, the long distance behavior of D branes is conveniently captured by the closed string boundary state formalism 2 , where the D branes are described by BRST invariant states and the interaction is computed by connecting them with closed string propagators [6, 7, 8, 5] In ....

T. Banks, W. Fischler, S. H. Shenker, L. Susskind, Phys. Rev. D55 (1997) 5112, hep-th/9610043.

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T. Banks, M. Douglas, and N. Seiberg, Phys. Lett. 387B (1986) 278, hep-th/9605199.

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T. Banks and N. Seiberg,hep-th/9702187.

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T. Banks, M. Berkooz, and P.J. Steinhardt, RU-94-92, hep-th/9501053.

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