87 research outputs found
New N=4 Superfields and Sigma-models
In this note, we construct new representations of D=2, N=4 supersymmetry
which do not involve chiral or twisted chiral multiplets. These multiplets may
make it possible to circumvent no-go theorems about N=4 superspace formulations
of WZWN-models.Comment: 11 pages, late
The Semi-Chiral Quotient, Hyperkahler Manifolds and T-duality
We study the construction of generalized Kahler manifolds, described purely
in terms of N=(2,2) semichiral superfields, by a quotient using the semichiral
vector multiplet. Despite the presence of a b-field in these models, we show
that the quotient of a hyperkahler manifold is hyperkahler, as in the usual
hyperkahler quotient. Thus, quotient manifolds with torsion cannot be
constructed by this method. Nonetheless, this method does give a new
description of hyperkahler manifolds in terms of two-dimensional N=(2,2) gauged
non-linear sigma models involving semichiral superfields and the semichiral
vector multiplet. We give two examples: Eguchi-Hanson and Taub-NUT. By
T-duality, this gives new gauged linear sigma models describing the T-dual of
Eguchi-Hanson and NS5-branes. We also clarify some aspects of T-duality
relating these models to N=(4,4) models for chiral/twisted-chiral fields and
comment briefly on more general quotients that can give rise to torsion and
give an example.Comment: 31 page
Off-shell N=(4,4) supersymmetry for new (2,2) vector multiplets
We discuss the conditions for extra supersymmetry of the N=(2,2)
supersymmetric vector multiplets described in arXiv:0705.3201 [hep-th] and in
arXiv:0808.1535 [hep-th]. We find (4,4) supersymmetry for the semichiral vector
multiplet but not for the Large Vector Multiplet.Comment: 15 page
The Nonlinear Multiplet Revisited
Using a reformulation of the nonlinear multiplet as a gauge multiplet, we
discuss its dynamics. We show that the nonlinear ``duality'' that appears to
relate the model to a conventional -model introduces a new sector into
the theory.Comment: 11 pages, ITP-SB-94-23, USITP-94-1
T-Duality in Superspace
We find the T-duality transformation rules for 2-dimensional (2,1)
supersymmetric sigma-models in (2,1) superspace. Our results clarify certain
aspects of the (2,1) sigma model geometry relevant to the discussion of
T-duality. The complexified duality transformations we find are equivalent to
the usual Buscher duality transformations (including an important refinement)
together with diffeomorphisms. We use the gauging of sigma-models in (2,1)
superspace, which we review and develop, finding a manifestly real and
geometric expression for the gauged action. We discuss the obstructions to
gauging (2,1) sigma-models, and find that the obstructions to (2,1) T-duality
are considerably weaker.Comment: 45 pages, Minor Correction
Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric
nonlinear sigma models written in terms of semichiral superfields. We find that
some of these models have additional off-shell supersymmetry. The (4,4)
supersymmetry introduces geometrical structures on the target-space which are
conveniently described in terms of Yano f-structures and Magri-Morosi
concomitants. On-shell, we relate the new structures to the known
bi-hypercomplex structures.Comment: 20 pages; v2: significant corrections, clarifications, and
reorganization; v3: discussion of supersymmetry vs twisted supersymmetry
added, relevant signs corrected
Properties of hyperkahler manifolds and their twistor spaces
We describe the relation between supersymmetric sigma-models on hyperkahler
manifolds, projective superspace, and twistor space. We review the essential
aspects and present a coherent picture with a number of new results.Comment: 26 pages. v2: Sign mistakes corrected; Kahler potential explicitly
calculated in example; references added. v3: Published version--several small
clarifications per referee's reques
ADE-Quiver Theories and Mirror Symmetry
We show that the Higgs branch of a four-dimensional Yang-Mills theory, with
gauge and matter content summarised by an ADE quiver diagram, is identical to
the generalised Coulomb branch of a four-dimensional superconformal strongly
coupled gauge theory with ADE global symmetry. This equivalence suggests the
existence of a mirror symmetry between the quiver theories and the strongly
coupled theories.Comment: 8 pages, 4 figures. Talk delivered by UL at D.V. Volkov Memorial
Conference, July 25-29, 2000, Kharkov, to be published in the proceeding
On N=2 low energy effective actions
We propose a Wilsonian action compatible with special geometry and higher
dimension N=2 corrections, and show that the holomorphic contribution F to the
low energy effective action is independent of the infrared cutoff. We further
show that for asymptotically free SU(2) super Yang-Mills theories, the infrared
cutoff can be tuned to cancel leading corrections to F. We also classify all
local higher-dimensional contributions to the N=2 superspace effective action
that produce corrections to the Kahler potential when reduced to N=1
superspace.Comment: 9 pages, Late
Generalized Kahler geometry and gerbes
We introduce and study the notion of a biholomorphic gerbe with connection.
The biholomorphic gerbe provides a natural geometrical framework for
generalized Kahler geometry in a manner analogous to the way a holomorphic line
bundle is related to Kahler geometry. The relation between the gerbe and the
generalized Kahler potential is discussed.Comment: 28 page
- …