Strings in plane wave backgrounds

Pankiewicz, Ari

doi:10.1002/prop.200310119

Cited by 40 publications

(41 citation statements)

References 196 publications

(682 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the particular case of the composite operators of complex fields in (2), the matrix is vanishing, in agreement with the result discussed after (12). In fact these operators, when represented in terms of the real fields ϕ i , are symmetric and traceless in the real indices i = 1, 2, and this ensures the vanishing of their one-loop anomalous dimensions 3 Another difference is that the 't Hooft coupling that appears in (24) is the renormalised running coupling λ r = g 2 r N . However, the substitution λ → λ r induces only higher order corrections.…”

Section: N = Theory and The Xxz Spin Chainsupporting

confidence: 87%

Super Yang–Mills and the XXZ spin chain

Vecchia¹,

Tanzini²

2005

Journal of Geometry and Physics

View full text Add to dashboard Cite

We analyse the renormalisation properties of composite operators of scalar fields in the N = 2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show that it corresponds to the Hamiltonian of an integrable XXZ spin chain with an anisotropy parameter ∆ > 1. We suggest that this parameter could be related to the presence of non-trivial two-form fluxes in the dual supergravity background. We find that the running of the gauge coupling does not affect the renormalization group equations for these composite operators at one-loop order, and argue that this is a general property of gauge theories which is not related to supersymmetry.

show abstract

Section: N = Theory and The Xxz Spin Chainsupporting

confidence: 87%

Super Yang–Mills and the XXZ spin chain

Vecchia¹,

Tanzini²

2005

Journal of Geometry and Physics

View full text Add to dashboard Cite

show abstract

“…It appears that the only problem in [11] is the final expression for the Neumann vectors (i.e., their equation (52)) 2 . We derive the large µ asymptotics directly 1 For a more complete list of references see [18,19,20,21,22]. 2 In fact it is easy to see that there is some error in (52) of [11]; simply note that φ m3 in the equation in question is divergent.…”

Section: Introductionmentioning

confidence: 99%

On the plane-wave cubic vertex

2004

View full text Add to dashboard Cite

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This simplifies the original derivation of the vertex. In particular, the Neumann matrices are written in terms of µ-deformed Gamma-functions, thus casting them into a form that elegantly generalizes the well-known flat-space solution. The asymptotics of the µ-deformed Gamma-functions allow one to determine the large-µ behaviour of the Neumann matrices including exponential corrections. We provide an explicit expression for the first exponential correction and make a conjecture for the subsequent exponential correction terms.

show abstract

“…(See [1] for reviews and [2] for recent progress.) The dilatation matrix elements calculated in perturbative SYM theory were found to match completely with the Hamiltonian matrix elements of the corresponding states in PP-wave light-cone string field theory after a basis change [3].…”

Section: Introductionmentioning

confidence: 99%