# Embedding of theories with SU(2|4) symmetry into the plane wave matrix model(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

@inproceedings{Ishiki2006EmbeddingOT, title={Embedding of theories with SU(2|4) symmetry into the plane wave matrix model(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)}, author={Goro Ishiki and Shinji Shimasaki and Yastoshi Takayama and Asato Tsuchiya}, year={2006} }

We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on R ? S2 and = 4 SYM on R ? S3/Zk. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on R ? S2 and = 4 SYM on R ? S3/Zk is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S3… Expand

#### 58 Citations

Exact results for perturbative partition functions of theories with SU(2|4) symmetry

- Physics
- 2012

A bstractIn this paper, we study the theories with SU(2|4) symmetry which consist of the plane wave matrix model (PWMM), super Yang-Mills theory (SYM) on R × S2 and SYM on R × S3/Zk. The last two… Expand

Phase Transitions of Large N Orbifold Gauge Theories(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

- Physics
- 2006

We study the phase structures of = 4 U(N) super Yang-Mills theories on ? S3/k with large N. The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S3/k, and for the… Expand

Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory

- Physics
- 2009

We consider SU(N) Yang–Mills theory on the space ℝ × S3 with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent… Expand

Explicit Non-Abelian Monopoles in SU(N) Pure Yang-Mills Theory

- Physics
- 2008

It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R. We show that such solutions exist in SU(N) gauge theory on the spaces R2×S2… Expand

$SO(4)$ Landau models and matrix geometry

- Physics, Mathematics
- 2018

Abstract We develop an in-depth analysis of the S O ( 4 ) Landau models on S 3 in the S U ( 2 ) monopole background and their associated matrix geometry. The Schwinger and Dirac gauges for the S U (… Expand

A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction

- Physics
- 2011

We study a non-perturbative formulation of N=4 super Yang-Mills theory (SYM) on RxS^3 proposed in arXiv:0807.2352. This formulation is based on the large-N reduction, and the theory can be described… Expand

Emergent bubbling geometries in gauge theories with SU(2|4) symmetry

- Physics
- 2014

A bstractWe study the gauge/gravity duality between bubbling geometries in type IIA supergravity and gauge theories with SU(2|4) symmetry, which consist of N=4$$ \mathcal{N}=4 $$ super Yang-Mills on… Expand

Deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 from supersymmetric matrix quantum mechanics.

- Physics, Medicine
- Physical review letters
- 2009

We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on R x S{3} in the planar… Expand

Perturbative tests for a large-N reduced model of $ \mathcal{N} = {4} $ super Yang-Mills theory

- Physics
- 2011

A bstractWe study a non-perturbative formulation of $ \mathcal{N} = {4} $ super Yang-Mills theory (SYM) on R × S3 in the planar limit proposed in arXiv:0807.2352. This formulation is based on the… Expand

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

- Physics
- 2013

A bstractWe perform nonperturbative studies of $ \mathcal{N}=4 $ super Yang-Mills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators… Expand

#### References

SHOWING 1-10 OF 52 REFERENCES

N=4 SYM on R x S^3 and Theories with 16 Supercharges

- Physics
- 2006

We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N=4 SYM on R x S^2 and N=4 SYM on R x S^3/Z_k,… Expand

Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS3

- Physics
- 2003

Recently a mass deformation of the maximally supersymmetric Yang-Mills quantum mechanics has been constructed from the supermembrane action in eleven dimensional plane-wave backgrounds. However, the… Expand

Fivebranes from gauge theory

- Physics
- 2006

We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include the… Expand

Transverse Fivebranes in Matrix Theory

- Physics
- 2002

M-theory on the maximally supersymmetric plane wave background of eleven-dimensional supergravity admits spherical BPS transverse M5-branes with zero light-cone energy. We give direct evidence that… Expand

Matrix perturbation theory for M-theory on a PP-wave

- Physics
- 2002

In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe M-theory on the maximally supersymmetric pp-wave. We show that the model may be derived directly as… Expand

N = 8 supersingleton quantum field theory

- Physics
- 1988

Abstract We quantize the N = 8 supersymmetric singleton field theory which is formulated on the boundary of the four-dimensional anti-de Sitter spacetime (AdS 4 ). The theory has rigid OSp(8,4)… Expand

N=4 SYM on R times S^3 and PP-Wave

- Physics
- 2002

We consider the radial quantization of N=4 super Yang-Mills (SYM) in 4 dimensions, i.e., N=4 SYM on a cylinder R times S^3. We construct the generators of superconformal symmetry in the case of U(N)… Expand

Bubbling AdS space and 1/2 BPS geometries

- Physics
- 2004

We consider all 1/2 BPS excitations of AdS × S configurations in both type-IIB string theory and M-theory. In the dual field theories these excitations are described by free fermions. Configurations… Expand

Conformally invariant supersymmetric field theories on Sp × S1 and super p-branes

- Physics
- 1988

Abstract We construct supersymmetric field theories on Sp × S1 for p = 1,…,5. These spaces are the boundaries of the anti-de Sitter space in (p + 2)-dimensions. Thesetheories are invariant under the… Expand

Little string theory from a double-scaled matrix model

- Physics
- 2006

Following Lin and Maldacena, we find exact supergravity solutions dual to a class of vacua of the plane wave matrix model by solving an electrostatics problem. These are asymptotically near-horizon… Expand