9 research outputs found
Exactly Marginal Deformations of N=4 SYM and of its Supersymmetric Orbifold Descendants
In this paper we study exactly marginal deformations of field theories living
on D3-branes at low energies. These theories include N=4 supersymmetric
Yang-Mills theory and theories obtained from it via the orbifolding procedure.
We restrict ourselves only to orbifolds and deformations which leave some
supersymmetry unbroken. A number of new families of N=1 superconformal field
theories are found. We analyze the deformations perturbatively, and also by
using general arguments for the dimension of the space of exactly marginal
deformations. We find some cases where the space of perturbative exactly
marginal deformations is smaller than the prediction of the general analysis at
least up to three-loop order), and other cases where the perturbative result
(at low orders) has a non-generic form.Comment: 25 pages, 1 figure. v2: added preprint number, references adde
Diagrams for Symmetric Product Orbifolds
We develop a diagrammatic language for symmetric product orbifolds of
two-dimensional conformal field theories. Correlation functions of twist
operators are written as sums of diagrams: each diagram corresponds to a
branched covering map from a surface where the fields are single-valued to the
base sphere where twist operators are inserted. This diagrammatic language
facilitates the study of the large N limit and makes more transparent the
analogy between symmetric product orbifolds and free non-abelian gauge
theories. We give a general algorithm to calculate the leading large N
contribution to four-point correlators of twist fields.Comment: 43 pages, 19 figures, v2: references adde
BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds
We study a class of near-BPS operators for a complex 2-parameter family of
N=1 superconformal Yang-Mills theories that can be obtained by a
Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in
the large N and large R-charge limit and compute their exact scaling dimensions
using N=1 superspace methods. From these scaling dimensions we attempt to
reverse-engineer the light-cone worldsheet theory that describes string
propagation on the Penrose limit of the dual geometry.Comment: 47 pages, 1 figure, 1 table; v2 a few typos corrected; v3 added
acknowledgements, a reference and improved discussion in section
On the perturbative chiral ring for marginally deformed N=4 SYM theories
For \cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the
\cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring
in the weak coupling regime and for finite N. By exploiting the relation
between the definition of chiral ring and the effective superpotential we
develop a procedure which allows us to easily determine protected chiral
operators up to n loops once the superpotential has been computed up to (n-1)
order. In particular, for the Lunin-Maldacena beta-deformed theory we determine
the quantum structure of a large class of operators up to three loops. We
extend our procedure to more general Leigh-Strassler deformations whose chiral
ring is not fully understood yet and determine the weight-two and weight-three
sectors up to two loops. We use our results to infer general properties of the
chiral ring.Comment: LaTex, 40 pages, 4 figures, uses JHEP3; v2: minor correction
q-Virasoro Modular Double and 3d Partition Functions
We study partition functions of 3d gauge theories on compact manifolds which are S (1) fibrations over S-2. We show that the partition functions are free field correlators of vertex operators and screening charges of the q-Virasoro modular double, which we define. The inclusion of supersymmetric Wilson loops in arbitrary representations allows us to show that the generating functions of Wilson loop vacuum expectation values satisfy two-related commuting sets of q-Virasoro constraints. We generalize our construction to 3d unitary quiver gauge theories and as an example we give the free boson realization of the ABJ(M) model