Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds

Asano, Masako; Sekino, Yasuhiro

doi:10.1016/j.nuclphysb.2004.11.007

Cited by 15 publications

(44 citation statements)

References 34 publications

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“…As in higher dimensions, particular subgroups of the global symmetry group can be gauged preserving maximal supersymmetry by introducing proper gauge couplings. The bosonic part of this construction has been given in [25] with the possible gaugings parametrized by a constant embedding tensor transforming in the (infinite-dimensional) basic representation of E 9 (9) . The fermionic sector (and the scalar potential ) have not yet been worked out in full generality, but we certainly expect that every bosonic deformation of [25] can be consistently supersymmetrized.…”

Section: Jhep01(2013)183mentioning

confidence: 99%

“…They can be coupled in order to gauge part of the global symmetries, provided the couplings are parametrized by a constant embedding tensor which itself transforms in the basic representation of E 9 (9) . Within this infinite-dimensional representation we identify the 36 vectors relevant for gauging SO (9) and determine their supersymmetry transformations. In section 4, we perform the explicit construction of the SO(9) gauged theory by introducing minimal couplings to vector fields, Yukawa couplings in the fermionic sector, and a scalar potential.…”

Section: Jhep01(2013)183mentioning

confidence: 99%

“…The latter formulation will be particularly useful for the construction of the SO(9) gauged theory in the rest of the paper, as the relevant SO(9) gauge group can be identified within the SL(9) target-space isometries. In short, there are two inequivalent embeddings of SO(9) into the affine E 9(9) via SO(9) ⊂ SL(9) ⊂ E 8(8) ⊂ E 9 (9) , and SO(9) ⊂ SL(9) ⊂ SL(9) ⊂ E 9(9) .…”

Section: Jhep01(2013)183mentioning

confidence: 99%

“…In this second formulation, the bosonic sector is a (dilaton-)gravity coupled non-linear σ-model with target space (SL(9) T 84 ) /SO(9) and topological term. Its isometries are spanned by the semi-direct product of SL(9) with 84 nilpotent translations T 84 transforming in an irreducible representation of SL (9). The part of the scalar fields descending from the internal part of the eleven-dimensional metric parametrizes SL(9)-valued matrices V m a giving rise to the currents µ play the role of so (9) connections.…”

Section: Reduction From Eleven Dimensions: the Sl(9) Framementioning

confidence: 99%

“…The dual boundary theory in this case is the maximally supersymmetric (p + 1)-dimensional Yang-Mills theory (non-conformal for p = 3). Relatively few tests of these non-conformal dualities have been performed (see however [3][4][5][6][7][8][9][10]), and only more recently the techniques of holographic renormalization have been developed systematically also for the non-conformal case [11,12]. Of particular interest are the dualities for low values of p for which lattice results on the field theory side allow to formulate and perform concrete tests of the correspondence [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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SO(9) supergravity in two dimensions

Ortiz

Samtleben

2013

J. High Energ. Phys.

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We present maximal supergravity in two dimensions with gauge group SO(9). The construction is based on selecting the proper embedding of the gauge group into the infinite-dimensional symmetry group of the ungauged theory. The bosonic part of the Lagrangian is given by a (dilaton-)gravity coupled non-linear gauged σ-model with WessZumino term. We give explicit expressions for the fermionic sector, the Yukawa couplings and the scalar potential which supports a half-supersymmetric domain wall solution. The theory is expected to describe the low-energy effective action upon reduction on the D0-brane near-horizon warped AdS 2 ×S 8 geometry, dual to the supersymmetric (BFSS) matrix quantum mechanics.

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Section: Jhep01(2013)183mentioning

confidence: 99%

Section: Jhep01(2013)183mentioning

confidence: 99%

Section: Jhep01(2013)183mentioning

confidence: 99%

Section: Reduction From Eleven Dimensions: the Sl(9) Framementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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SO(9) supergravity in two dimensions

Ortiz

Samtleben

2013

J. High Energ. Phys.

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Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

Hanada¹,

Nishimura²,

Sekino³

et al. 2011

J. High Energ. Phys.

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We study correlation functions in (0+1)-dimensional maximally supersymmetric U(N ) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional M-theory in the infinite-momentum frame. We perform firstprinciple calculations using Monte Carlo simulations, and compare the results against the predictions obtained previously based on the gauge-gravity correspondence from 10 dimensions. After providing a self-contained review on these predictions, we present clear evidence that the predictions in the large-N limit actually hold even at small N such as N = 2 and 3. The predicted behavior seems to continue to the far infrared regime, which goes beyond the naive range of validity of the 10D supergravity analysis. This suggests that the correlation functions also contain important information on the M-theory limit.

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Impurity non-preserving 3-point correlators of BMN operators from PP-wave holography II: Fermionic excitations

Dobashi

Yoneya

2006

Nuclear Physics B

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The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that the previously proposed duality relation between the matrix elements of the three point interaction Hamiltonian in the holographic string field theory and the OPE coefficients in super Yang-Mills theory holds to the leading order in the large µ limit. Operator mixing is required to obtain the BMN operator of definite conformal dimension which corresponds to the string state with one scalar and one fermion excitations. The mixing term plays a crucial role for our duality relation to be valid. Our results, combined with those in the previous papers, provide a positive support that our duality relation holds for the general process regardless of the kind of impurities and of whether impurities conserve or not.Holography is the key concept to the duality between string theory and gauge theory in the AdS/CFT correspondence. The holographic relation proposed by GKP/W [1] relates the degrees of freedom in the string theory defined in the bulk AdS space and those in the gauge theory defined on the conformal boundary of the AdS spacetime. Based on this proposal, a large amount of work has been done giving many positive supports for this relation [2]. In particular, the non-renormalization property of chiral primary operators has been confirmed [3]. However in the BMN limit of the AdS/CFT correspondence [4], how this holographic relation is realized has not been clear because of the lack of the clear space-time picture.In the previous papers [5,6,7,8], we gave an answer to this problem. We showed that the PP-wave background emerges as the geometry around a tunneling null geodesic, which starts from a point on the AdS boundary and returns to another point on the boundary.This trajectory can be obtained as a dominant path in the large angular momentum limit for the path integral which is expected to give the two point function of gauge theory operators in the GKP/W prescription † . The string/gauge duality in the PP-wave limit can be understood as the correspondence between the oscillation modes of strings around this trajectory and gauge theory operators sitting around its endpoints on the boundary. This picture allows a natural correspondence between an S-matrix calculation on the string theory side and an operator product expansion on the gauge theory side. As for three point functions, with the assumption that the free string basis corresponds to the BMN operators of definite conformal dimension, we proposed a duality relation between the matrix elements of the string interaction Hamiltonian and the OPE coefficients.Our proposal in [7] has an advantage over the previous two types of duality relations, presented in [10, 11] and [12], in that it is applicable to impurity non-preserving cases.Indeed, we checked that our duality relation holds for impurity non-preserving processes which c...

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Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds

Cited by 15 publications

References 34 publications

SO(9) supergravity in two dimensions

SO(9) supergravity in two dimensions

Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

Impurity non-preserving 3-point correlators of BMN operators from PP-wave holography II: Fermionic excitations

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