Gauge theory description of compactified pp-waves

Bertolini, Matteo; Harmark, Troels; Imeroni, Emiliano; Obers, Niels A.

doi:10.1088/1126-6708/2003/01/016

Cited by 44 publications

(142 citation statements)

References 57 publications

Supporting

Mentioning

137

Contrasting

Order By: Relevance

“…It is not hard to see that the near-critical region giving us the reduction to the SU (2) sector has some similarities with the pp-wave limit of [28] since we keep only states with D 0 = R 1 + R 2 . It is clear that to connect to the limit of N = 4 SYM found in [28] we need to consider only a subsector of the pp-wave string theory of [28]. This seems possible to achieve by turning on the appropriate chemical potential.…”

Section: Discussionmentioning

confidence: 99%

Quantum mechanical sectors in thermal super-Yang–Mills on

Harmark¹,

Orselli²

2006

Nuclear Physics B

Self Cite

149

View full text Add to dashboard Cite

We study the thermodynamics of U (N ) N = 4 Super Yang-Mills (SYM) on R × S 3 with non-zero chemical potentials for the SU (4) R-symmetry. We find that when we are near a point with zero temperature and critical chemical potential, N = 4 SYM on R × S 3 reduces to a quantum mechanical theory. We identify three such critical regions giving rise to three different quantum mechanical theories. Two of them have a Hilbert space given by the SU (2) and SU (2|3) sectors of N = 4 SYM of recent interest in the study of integrability, while the third one is the half-BPS sector dual to bubbling AdS geometries. In the planar limit the three quantum mechanical theories can be seen as spin chains. In particular, we identify a near-critical region in which N = 4 SYM on R × S 3 essentially reduces to the ferromagnetic XXX 1/2 Heisenberg spin chain. We find furthermore a limit in which this relation becomes exact.

show abstract

Section: Discussionmentioning

confidence: 99%

Quantum mechanical sectors in thermal super-Yang–Mills on

Harmark¹,

Orselli²

2006

Nuclear Physics B

Self Cite

149

View full text Add to dashboard Cite

show abstract

“…(A good review is also found in the recent paper [23].) Suppose a compactification along a circle in the X 1 − X 2 plane in the space-like directions.…”

Section: Operator Calculation Of Space-time Free Energy Inmentioning

confidence: 99%

“…We so obtain 23) where H osc denotes the oscillator part of Hamiltonian (2.14). The trace is taken over the Fock space associated to the light-cone momentum p + = p/R − .…”

Section: Operator Calculation Of Space-time Free Energy Inmentioning

confidence: 99%

Thermal partition function of superstring on compactified pp-wave

Sugawara

2003

Nuclear Physics B

View full text Add to dashboard Cite

We study the thermal partition function of superstring on the pp-wave background with the circle compactification along a transverse direction. We calculate it in the two ways: the operator formalism and the path-integral calculation. The former gives the finite result with no subtlety of the Wick rotation, which only contains the contributions of physical states. On the other hand, the latter yields the manifestly modular invariant expression, even though we only have the winding modes along the transverse circle (no Kaluza-Klein excitations). We also check the equivalence of these two analyses. The DLCQ approach makes the path-integration quite easy. Remarkably, we find that the contributions from the transverse winding sectors disappear in the non-DLCQ limit, while they indeed contribute in the DLCQ model, depending non-trivially on the longitudinal quantum numbers.

show abstract

“…A similar analysis for N = 2 superconformal gauge theories has been carried out in [29]. (Penrose limits of such orbifolds have been studied in [30]. )…”

Section: Introductionmentioning

confidence: 86%

Integrable spin chains on the conformal moose: Script N = 1 superconformal gauge theories as six-dimensional string theories

Sadri¹,

Sheikh-Jabbari²

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We consider N = 1, D = 4 superconformal U(N)p×q Yang-Mills theories dual to AdS 5 × S 5 /Z p × Z q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought of as the transfer matrix for a two-dimensional statistical mechanical system, related to an integrable SU(3) antiferromagnetic spin chain system, which in turn is equivalent to a 2 + 1-dimensional string theory where the spatial slices are discretized on a triangular lattice. This is an extension of the SO(6) spin chain picture of N = 4 super Yang-Mills theory. We comment on the integrability of this N = 1 gauge theory and hence the corresponding three-dimensional statistical mechanical system, its connection to three-dimensional lattice gauge theories, extensions to six-dimensional string theories, AdS/CFT type dualities and finally their construction via orbifolds and brane-box models. In the process we discover a new class of almost-BPS BMN type operators with large engineering dimensions but controllably small anomalous corrections.

show abstract

Gauge theory description of compactified pp-waves

Cited by 44 publications

References 57 publications

Quantum mechanical sectors in thermal super-Yang–Mills on

Quantum mechanical sectors in thermal super-Yang–Mills on

Thermal partition function of superstring on compactified pp-wave

Integrable spin chains on the conformal moose: Script N = 1 superconformal gauge theories as six-dimensional string theories

Contact Info

Product

Resources

About