L. Girardello

Yang-Mills theories with local supersymmetry: Lagrangian, transformation laws and super-Higgs effect

We derive the lagrangian and transformation laws of the coupled Yang-Mills-matter-supergravity system for unextended n = 1 local supersymmetry. We study the super-Higgs effect and the normal Higgs effect of the Yang-Mills gauge group G. In the case of N chiral multiplets “minimally” coupled to supergravity, transforming according to some N-dimensional, generally reducible representation of G, we find a model-independent mass formula: Supertrace M2 = ∑J=032 (−)2J(2J+1)mJ2= (N−1)(2m322−κ2DαDα) − 2gαDαTrTα , where m32 is the gravitino mass, κ and gα the gravitational and gauge couplings, respectively, Dα is the auxiliary component of the gauge multiplet of G and Tα the generators of G in the representation of the matter chiral multiplets.

Spontaneous Symmetry Breaking and Higgs Effect in Supergravity Without Cosmological Constant

The super Higgs effect is studied in the (2,32) + (12, 0+, 0−) model. The most general action is obtained using the recently developed tensor calculus: it contains an arbitrary function of two variables G(A,B), A and B being the 0+ scalar and 0− pseudoscalar fields of the matter system. The conditions are given which G must satisfy in order that both the gravitino ψμ becomes massive and no cosmological term is induced. Explicit examples are given, a class of them leading to the mass formula mA2 + mB2 = 4mψ2.

Geometry of Type II Superstrings and the Moduli of Superconformal Field Theories

We study general properties of the low-energy effective theory for 4D type II superstrings obtained by the compactification on an abstract (2,2) superconformal system. This is the basic step towards the construction of their moduli space. We give an explicit and general algorithm to convert the effective Lagrangian for the type IIA into that of type IIB superstring defined by the same (2,2) superconformal system (and vice versa). This map converts Kahler manifolds into quaternionic ones (and quaternionic into Kahlerian ones) and has a deep geometrical meaning. The relationship with the theory of normal quaternionic manifolds (and algebras), as well as with Jordan algebras, is outlined. It turns out that only a restricted class of quarternionic geometries is allowed in the string case. We derive a general and explicit formula for the (fully nonlinear) couplings of the vector-multiplets (IIA case) in terms of the basic three-point functions of the underlying superconformal theory. A number of illustrative e...

Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics

We nd new, local, non-supersymmetric conformal eld theories ob- tained by relevant deformations of the N=4 super Yang Mills theory in the large N limit. We contruct interpolating supergravity solutions that naturally represent theflowfromtheN=4super YangMills UVtheorytothese non-supersymmetric IR xed points. We also study the linearization around the N=4 superconformal point ofN=1supersymmetric, marginaldeformations. WeshowthattheygiverisetoN=1 superconformalxed points, as expected from eld-theoretical arguments.

Vector multiplets coupled to N=2 supergravity: Super-Higgs effect, flat potentials and geometric structure

We obtain general properties of N=2 gauged extended supergravity coupled to vector multiplets, which can gauge an arbitrary group. General formulas for masses and curvatures are derived. Particular attention is devoted to the scalar potential of the theory which determines the classical vacuum structure. Explicit examples are given in which the potential is identically zero, but supersymmetry is broken. It is found that these theories are symmetric under generalized duality transformations.

Coupling Supersymmetric Yang-Mills Theories to Supergravity

Abstract We extend the technique of Cremmer et al. to couple arbitrary chiral multiplets with supersymmetric Yang-Mills interactions to N = 1 supergravity. We present the general form of the lagrangian and the detailed form of the scalar potential is spelled out. In the case of N chiral multiplets, “minimally” coupled to supergravity, we derive, in the absence of gauge interactions, a model-independent mass formula Supertrace M 2 = Σ J (−) 2J (2J + 1)m J 2 = 2(N − 1)m 3 2 2 , where m 3 2 is the gravitino mass. A concrete example of the super Higgs effect involving N chiral multiplets is exhibited.

The supergravity dual of N=1 super Yang–Mills theory

Abstract We find an exact, N =1 supersymmetric kink solution of 5d gauged supergravity. We associate this solution with the RG flow from N =4 super Yang–Mills theory, deformed by a relevant operator, to pure N =1 super Yang–Mills in the IR. We test this identification by computing various QFT quantities using the supergravity dual: the tension of electric and magnetic strings and the gaugino condensate. As demanded by our identification, our kink solution is a true deformation of N =4, that exhibits confinement of quarks, magnetic screening, and spontaneous chiral symmetry breaking.

Breakdown of Local Supersymmetry Through Gauge Fermion Condensates

Abstract It is shown that gauge fermion condensates can break local supersymmetry in the presence of non-minimal gauge kinetic terms. The resulting low energy effective theory is derived. It admits new ways for a gravitino mass induced breakdown of the weak interactions.

Super-higgs effect in supergravity with general scalar interactions

Using the recently established tensor calculus for supergravity, we construct the most general action for the scalar multiplet coupling. We discuss under which conditions supersymmetry is broken spontaneously and show explicitly that the gravitino acquires a mass by absorbing the Goldstone fermion. Parity violation as well as a cosmological constant can be avoided.

Non-supersymmetric meta-stable vacua in SU(N) SQCD with adjoint matter

We investigate models of SU(N) SQCD with adjoint matter and non trivial mesonic deformations. We apply standard methods in the dual magnetic theory and we find meta-stable supersymmetry breaking vacua with arbitrary large lifetime. We comment on the difference with known models.