Showing papers by "Suresh Govindarajan published in 2007"
CERN1
TL;DR: In this paper, the brane RR charges are encoded in the matrix factors, by analyzing their structure in terms of sections of vector bundles in conjunction with equivariant R-symmetry.
43 citations
TL;DR: In this paper, the authors show that the planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three-dimensional representations of the trihedral group, which is a symmetry of the Lagrangian.
Abstract: We look for chiral primaries in the general Leigh-Strassler deformed N=4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised into representations of the trihedral group, \Delta(27), which is a symmetry of the Lagrangian. We find an interesting relationship between the U(1)_R-charge of chiral primaries and the representation of \Delta(27) to which the operator belongs. Up to scaling dimension \Delta_0=6 (and conjecturally to all dimensions) the following holds: The planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three dimensional representations of \Delta(27). For other operators, the vanishing of the one-loop anomalous dimension occurs only in a sub-locus in the space of couplings.
11 citations
TL;DR: In this paper, the authors show that the planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three-dimensional representations of Δ(27), which is a symmetry of the Lagrangian.
Abstract: We look for chiral primaries in the general Leigh-Strassler deformed = 4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised into representations of the trihedral group, Δ(27), which is a symmetry of the Lagrangian. We find an interesting relationship between the U(1)R-charge of chiral primaries and the representation of Δ(27) to which the operator belongs. Up to scaling dimension Δ0 = 6 (and conjecturally to all dimensions) the following holds: The planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three dimensional representations of Δ(27). For other operators, the vanishing of the one-loop anomalous dimension occurs only in a sub-locus in the space of couplings.
10 citations
TL;DR: In this article, the authors derive the symplectic potential of Ricci-flat metrics associated with real cones over Lpqr and Ypq manifolds using a method due to Abreu, which enables them to recover the moment polytope associated with metrics and thus obtain global information about the metric.
Abstract: We pursue the symplectic description of toric K?hler manifolds. There exists a general local classification of metrics on toric K?hler manifolds equipped with Hamiltonian 2-forms due to Apostolov, Calderbank and Gauduchon (ACG). We derive the symplectic potential for these metrics. Using a method due to Abreu, we relate the symplectic potential to the canonical potential written by Guillemin. This enables us to recover the moment polytope associated with metrics and we thus obtain global information about the metric. We illustrate these general considerations by focusing on six-dimensional Ricci-flat metrics and obtain Ricci-flat metrics associated with real cones over Lpqr and Ypq manifolds. The metrics associated with cones over Ypq manifolds turn out to be partially resolved with two blow-up parameters taking special (non-zero) values. For a fixed Ypq manifold, we find explicit metrics for several inequivalent blow-ups parametrized by a natural number k in the range 0 < k < p. We also show that all known examples of resolved metrics such as the resolved conifold and the resolution of also fit the ACG classification.
6 citations
Posted Content•
TL;DR: In this article, a perturbative study of the Leigh-Strassler deformed N=4 SYM theory is carried out to verify that the trihedral Delta(27) symmetry holds in the quantum theory.
Abstract: We carry out a perturbative study of the Leigh-Strassler deformed N=4 SYM theory in order to verify that the trihedral Delta(27) symmetry holds in the quantum theory. We show that the Delta(27) symmetry is preserved to two loops (at finite N) by explicitly computing the superpotential. The perturbative superpotential is not holomorphic in the couplings due to finite contributions. However, there exist coupling constant redefinitions that restore holomorphy. Interestingly, the same redefinitions appear (in the work of Jack, Jones and North[hep-ph/9603386]) if one requires the three-loop anomalous dimension to vanish in a theory where the one-loop anomalous dimension vanishes. However, the two field redefinitions seem to differ by a factor of two.
6 citations
TL;DR: In this article, the authors show that an explicit class of toric Kahler metrics provide a unified framework in which to describe both the asymptotically flat and asymptonically AdS solutions.
Abstract: Stationary, supersymmetric supergravity solutions in five dimensions have Kahler metrics on the four-manifold orthogonal to the orbits of a time-like Killing vector. We show that an explicit class of toric Kahler metrics provide a unified framework in which to describe both the asymptotically flat and asymptotically AdS solutions. The Darboux co-ordinates used for the local description turn out to be ``ring-like.'' We conclude with an ansatz for studying the existence of supersymmetric black rings in AdS.
4 citations
12 Oct 2007
TL;DR: In this article, the superpotential on the world volume theory of D-branes in the topological Landau-Ginzburg model associated with the cubic torus is computed.
Abstract: We compute the superpotential on the worldvolume theory of D‐branes in the topological Landau‐Ginzburg model associated with the cubic torus. An extended version of mirror symmetry relates this superpotential to the one on the mirror D‐brane. We discuss the equivalence of these two superpotentials by explicitly constructing the open‐string mirror map.
1 citations
TL;DR: In this article, the authors derive the symplectic potential of Ricci flat metrics on toric Kahler manifolds and show that these metrics can be partially resolved with two blowup parameters taking special (non-zero) values.
Abstract: We pursue the symplectic description of toric Kahler manifolds. There exists a general local classification of metrics on toric Kahler manifolds equipped with Hamiltonian two-forms due to Apostolov, Calderbank and Gauduchon(ACG). We derive the symplectic potential for these metrics. Using a method due to Abreu, we relate the symplectic potential to the canonical potential written by Guillemin. This enables us to recover the moment polytope associated with metrics and we thus obtain global information about the metric. We illustrate these general considerations by focusing on six-dimensional Ricci flat metrics and obtain Ricci flat metrics associated with real cones over L^{pqr} and Y^{pq} manifolds. The metrics associated with cones over Y^{pq} manifolds turn out to be partially resolved with two blowup parameters taking special (non-zero)values. For a fixed Y^{pq} manifold, we find explicit metrics for several inequivalent blow-ups parametrised by a natural number k in the range 0
1 citations