Supersymmetry Breaking and Nonlinear Realizations Quiz

The methodology of deriving nonlinear realizations of supersymmetry from appropriate linear ones.

The above results are understood as the outcome.

The 3D N =1 superspace action corresponds to the 3D BI theory.

The vector and the chiral multiplets.

The vector and the chiral multiplets respectively.

A duality transformation.

One parameter family deformations.

The first, linear, supersymmetry.

The constraint superfield approach.

It does not permit the construction of a non-trivial superspace action for the independent Goldstone superfield.

the dynamics of the massless Goldstone supermultiplet associated with the partial breaking of the second supersymmetry

starting with a linear representation of that symmetry and imposing consistent nonlinear constraints

the constrained superfield approach led to the superspace Lagrangian

No, there exists a consistent deformation of the theory by adding a Fayet-Iliopoulos (FI) term

it gives a nonzero VEV to the auxiliary component of the vector multiplet and therefore it spontaneously breaks the first supersymmetry

to map it to a dual action with equivalent on-shell dynamics

the standard electric-magnetic duality

SL(2,R)

it can be interpreted as the (M-theory) eleven-dimensional supermembrane

dimensionally reduce the 4D results of down to 3D in a way that breaks half the supercharges

The deep connection between partial supersymmetry breaking and nonlinear realizations of extended supersymmetries has been studied extensively.

The effective description of Dp-branes is the solitonic solutions of string theory.

The introduction of a boundary to the world-sheet theory breaks some of the spatial translational symmetries and half of the supersymmetries.

D-branes correspond to BPS saturated soliton states, which means they acquire a lower-dimensional effective description.

The bosonic part of the lower-dimensional effective description of Dp-branes is given by the DBI action for the corresponding collective coordinates and the world volume gauge field.

The DBI action for all p-branes (p < 9) always corresponds to the dimensional reduction of the ten-dimensional (D9-brane) BI action.

The existence of these effective nonlinear descriptions follows directly from the partial supersymmetry breaking N = 2 → N = 1.

The memory of a spontaneously broken symmetry is captured through nonlinear realizations of that symmetry.

The nonlinear realizations of supersymmetry are defined via nonlinear constraints.

The nonlinear constraints generate precisely the Born-Infeld type actions that appear in the effective actions of D-branes.

The understanding that it will correspond to the dynamics of the massless Goldstone supermultiplet associated with the partial breaking of the second supersymmetry.

It can be interpreted as the (M- theory) eleven-dimensional supermembrane.

The standard electric-magnetic duality.

Dimensional reduction of the 4D results down to 3D in a way that breaks half the supercharges.

The use of the coset approach which provides a systematic method of constructing nonlinear realizations and studying properties of Goldstone fields.

The Goldstone superfield associated with the broken translational symmetry.

The deformed theory still enjoys an unbroken N = 1 symmetry which corresponds to a different choice of an N = 1 subsector of the N = 2 theory than the one that is made manifest.

The first supersymmetry.

To find dual actions with equivalent on-shell dynamics.

The DBI action is a special case of the nonlinear Born-Infeld type of action.

The effective description of Dp-branes in string theory is given by the DBI action for the corresponding collective coordinates and the world volume gauge field.

There is a deep connection between partial supersymmetry breaking and nonlinear realizations of extended supersymmetries.

D-branes correspond to BPS saturated soliton states means that they preserve some of the supersymmetry.

The DBI action for Dp-branes is closely related to the nonlinear Born-Infeld type of action of open string theory.

The existence of effective nonlinear descriptions for Dp-branes follows directly from the partial supersymmetry breaking.

The N = 2 multiplets identified in the work are the Maxwell-Goldstone and the Tensor-Goldstone multiplets.

The methodology used to derive the bosonic and fermionic parts of the supersymmetric spacetime actions is the constrained superfield approach.

The outcome of applying the general method of deriving nonlinear realizations of supersymmetry on a deformation of the 3D N = 2 Maxwell multiplet is the 3D N = 1 supersymmetric extension.

The effective description of Dp-branes is given by the DBI action.

The superspace action derived in the 4D, N = 1 supersymmetric Born-Infeld (BI) action is based on the dimensional reduction of the ten-dimensional BI action.

The methodology used to derive the bosonic and fermionic parts of the supersymmetric spacetime actions is the general method of deriving nonlinear realizations of supersymmetry from appropriate linear ones.

The relationship between the DBI action and the nonlinear Born-Infeld type of action of open string theory is that the DBI action is an effective nonlinear description of the Born-Infeld type of action.

The reason for the existence of effective nonlinear descriptions for Dp-branes is the presence of spontaneously broken symmetries.

The deformation of the —unique to 3D— gauge invariant, Chern-Simons-like mass term of the Maxwell-Goldstone action explicitly breaks the first, linear, supersymmetry.

The 3D N =1 superspace action corresponding to the 3D BI theory is the action associated with the effective description of the D2-brane.

The vector multiplet gives rise to the 3D, N = 1 Maxwell-Goldstone multiplet, and the chiral multiplet gives rise to the 3D, N = 1 Tensor-Goldstone multiplet.

The duality transformation for the BI action and its 4D supersymmetric extension generates an inversion of a characteristic dimensionless parameter λ.

The —unique to 3D— gauge invariant, Chern-Simons-like mass term of the Maxwell-Goldstone action generates one parameter family deformations which respect the non-linearly realized supersymmetry.

The superspace action derived in the 4D, N = 1 supersymmetric Born-Infeld (BI) action is based on the 3D BI theory and its corresponding superspace action.

The outcome of applying the general method of deriving nonlinear realizations of supersymmetry on a deformation of the 3D N = 2 Maxwell multiplet is the 3D N =1 superspace action corresponding to the 3D BI theory.