A large-N reduced model as superstring

Ishibashi, Nobuyuki; Kawai, Hiroyuki; Kitazawa, Yoshihisa; Tsuchiya, Asato

doi:10.1016/s0550-3213(97)00290-3

Cited by 1,064 publications

(2,221 citation statements)

References 14 publications

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“…The generators of SO (10) transformations are given by 2) and the charge conjugation matrix C satisfies…”

Section: The Mother Theorymentioning

confidence: 99%

“…We define a left-handed Grassmann spinor ω = +Γ 11 ω which is written as a 32-component Dirac spinor, but which only has 16 independent components and transforms as the irreducible 16 representation of SO (10). We also introduce a real bosonic variable v α transforming as the 10 representation of SO (10). Then the action of the mother theory The global G R = SO(10) symmetry of the above action is just the ten dimensional Lorentz symmetry transmuted to a global symmetry of the zero dimensional mother theory.…”

Section: The Mother Theorymentioning

confidence: 99%

“…Note that the supersymmetry transformations do not commute with SO (10), and that κ (and hence the supercharges) transform as a 16.…”

Section: The Mother Theorymentioning

confidence: 99%

“…(We will see that requiring that the lattice be supersymmetric will actually constrain the maximum dimension to be d = 4). We can take the five generators q m of this U(1) 5 symmetry to be 10) corresponding to rotations in the x m − x m+5 plane in a ten dimensional space. The five complex bosonic fields…”

Section: Jhep09(2005)042mentioning

confidence: 99%

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A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

Kaplan¹,

Ünsal²

2005

J. High Energy Phys.

159

309

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“…The generators of SO (10) transformations are given by 2) and the charge conjugation matrix C satisfies…”

Section: The Mother Theorymentioning

confidence: 99%

Section: The Mother Theorymentioning

confidence: 99%

“…Note that the supersymmetry transformations do not commute with SO (10), and that κ (and hence the supercharges) transform as a 16.…”

Section: The Mother Theorymentioning

confidence: 99%

Section: Jhep09(2005)042mentioning

confidence: 99%

See 2 more Smart Citations

A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

Kaplan¹,

Ünsal²

2005

J. High Energy Phys.

159

309

View full text Add to dashboard Cite

show abstract

“…In fact the cQEK model for the BFSS model is analogous to the IKKT model [22] proposed as a nonperturbative formulation of type IIB superstring theory. Based on this observation, we discuss an explicit relation between the BFSS model and the IKKT model, which may be used to translate results in one model to the other.…”

Section: Introductionmentioning

confidence: 99%

The large-Nreduction in matrix quantum mechanics — a bridge between BFSS and IKKT —

Kawahara

Nishimura

2005

J. High Energy Phys.

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The large N reduction is an equivalence between large N gauge theories and matrix models discovered by Eguchi and Kawai in the early 80s. In particular the continuum version of the quenched Eguchi-Kawai model may be useful in studying supersymmetric and/or chiral gauge theories nonperturbatively. We apply this idea to matrix quantum mechanics, which is relevant, for instance, to nonperturbative studies of the BFSS Matrix Theory, a conjectured nonperturbative definition of M-theory. In the bosonic case we present Monte Carlo results confirming the equivalence directly, and discuss a possible explanation based on the Schwinger-Dyson equations. In the supersymmetric case we argue that the equivalence holds as well although some care should be taken if the rotational symmetry is spontaneously broken. This equivalence provides an explicit relation between the BFSS model and the IKKT model, which may be used to translate results in one model to the other.

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Field Theory Limit of Branes and Gauged Supergravities

Skenderis

2000

Fortschr. Phys.

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We discuss the field theory limit of Dp-branes. In this limit, the black Dpbrane solution approaches a solution which is conformal to adS p+2 × S 8−p . We argue that the frame in which the conformal factor is equal to one, the dual frame, is a 'holographic' frame. The radial coordinate of adS p+2 provides a UV/IR connection as in the case of the D3 brane. The gravitational description involves gauged supergravities, typically with non-compact gauged groups. The near-horizon Dp-brane solution becomes a domain-wall solution of the latter.Holography [1] states that a gravitational system in d + 1-dimensions should have a description in terms of a d-dimensional (boundary) field theory. In addition, the boundary theory should not contain more than one degree of freedom per Planck area. The adS/CFT duality [2,3,4] provides an example of such holographic connection [4,5]. For instance, anti-de Sitter supergravity in five dimensions has a description in terms of (strongly coupled) N = 4 SU(N) SYM theory in four dimensions. This duality was inferred by looking at two descriptions of the D3 brane: one as a black D3 brane and another as a hypersurface where strings can end. Taking the field theory limit, i.e. the limit in which the bulk gravity decouples, one finds that the worldvolume theory is equivalent to strings propagating in the near-horizon limit of the black D3 brane which is adS 5 × S 5 . When curvatures are small the YM coupling constant is strong and we obtain that anti-de Sitter supergravity is equivalent to strongly coupled SYM theory.It is natural to consider the same limit for the other branes as well. The difference between the D3 brane and the other branes is that the worldvolume theory of the latter is not conformal. Therefore, the dual supergravity cannot be anti-de Sitter supergravity. By holography we expect that when the YM coupling constant becomes large a gravitational description in one dimension higher takes over. Indeed we will see that this is the case[6]: The gravity description is in terms of certain gauged supergravities in p + 2 dimensions, typically with non-compact gauge groups, which possess supersymmetric domain-wall vacua. These domain-wall vacua are spacetimes conformal to adS p+2 (for p = 5 we get E (1,6) instead).Let us consider the field theory limit [2, 7] of D-branes. We want to consider a limit in which the bulk gravity decouples and we left with a decoupled worldvolume theory. To decouple closed string loop effects we send g s → 0. To suppress higher dimension operators we go to low energies, α ′ → 0. This implies that the gravitational coupling

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A large-N reduced model as superstring

Cited by 1,064 publications

References 14 publications

A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

The large-Nreduction in matrix quantum mechanics — a bridge between BFSS and IKKT —

Field Theory Limit of Branes and Gauged Supergravities

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