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.

<p>The vector and the chiral multiplets.</p> Signup and view all the answers

<p>The vector and the chiral multiplets respectively.</p> Signup and view all the answers

<p>A duality transformation.</p> Signup and view all the answers

<p>One parameter family deformations.</p> Signup and view all the answers

<p>The first, linear, supersymmetry.</p> Signup and view all the answers

<p>The constraint superfield approach.</p> Signup and view all the answers

<p>It does not permit the construction of a non-trivial superspace action for the independent Goldstone superfield.</p> Signup and view all the answers

<p>the dynamics of the massless Goldstone supermultiplet associated with the partial breaking of the second supersymmetry</p> Signup and view all the answers

<p>starting with a linear representation of that symmetry and imposing consistent nonlinear constraints</p> Signup and view all the answers

<p>the constrained superfield approach led to the superspace Lagrangian</p> Signup and view all the answers

<p>No, there exists a consistent deformation of the theory by adding a Fayet-Iliopoulos (FI) term</p> Signup and view all the answers

<p>it gives a nonzero VEV to the auxiliary component of the vector multiplet and therefore it spontaneously breaks the first supersymmetry</p> Signup and view all the answers

<p>to map it to a dual action with equivalent on-shell dynamics</p> Signup and view all the answers

<p>the standard electric-magnetic duality</p> Signup and view all the answers

<p>SL(2,R)</p> Signup and view all the answers

<p>it can be interpreted as the (M-theory) eleven-dimensional supermembrane</p> Signup and view all the answers

<p>dimensionally reduce the 4D results of down to 3D in a way that breaks half the supercharges</p> Signup and view all the answers

<p>The deep connection between partial supersymmetry breaking and nonlinear realizations of extended supersymmetries has been studied extensively.</p> Signup and view all the answers

<p>The effective description of Dp-branes is the solitonic solutions of string theory.</p> Signup and view all the answers

<p>The introduction of a boundary to the world-sheet theory breaks some of the spatial translational symmetries and half of the supersymmetries.</p> Signup and view all the answers

<p>D-branes correspond to BPS saturated soliton states, which means they acquire a lower-dimensional effective description.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The DBI action for all p-branes (p &lt; 9) always corresponds to the dimensional reduction of the ten-dimensional (D9-brane) BI action.</p> Signup and view all the answers

<p>The existence of these effective nonlinear descriptions follows directly from the partial supersymmetry breaking N = 2 → N = 1.</p> Signup and view all the answers

<p>The memory of a spontaneously broken symmetry is captured through nonlinear realizations of that symmetry.</p> Signup and view all the answers

<p>The nonlinear realizations of supersymmetry are defined via nonlinear constraints.</p> Signup and view all the answers

<p>The nonlinear constraints generate precisely the Born-Infeld type actions that appear in the effective actions of D-branes.</p> Signup and view all the answers

<p>The understanding that it will correspond to the dynamics of the massless Goldstone supermultiplet associated with the partial breaking of the second supersymmetry.</p> Signup and view all the answers

<p>It can be interpreted as the (M- theory) eleven-dimensional supermembrane.</p> Signup and view all the answers

<p>The standard electric-magnetic duality.</p> Signup and view all the answers

<p>Dimensional reduction of the 4D results down to 3D in a way that breaks half the supercharges.</p> Signup and view all the answers

<p>The use of the coset approach which provides a systematic method of constructing nonlinear realizations and studying properties of Goldstone fields.</p> Signup and view all the answers

<p>The Goldstone superfield associated with the broken translational symmetry.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The first supersymmetry.</p> Signup and view all the answers

<p>To find dual actions with equivalent on-shell dynamics.</p> Signup and view all the answers

<p>The DBI action is a special case of the nonlinear Born-Infeld type of action.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>There is a deep connection between partial supersymmetry breaking and nonlinear realizations of extended supersymmetries.</p> Signup and view all the answers

<p>D-branes correspond to BPS saturated soliton states means that they preserve some of the supersymmetry.</p> Signup and view all the answers

<p>The DBI action for Dp-branes is closely related to the nonlinear Born-Infeld type of action of open string theory.</p> Signup and view all the answers

<p>The existence of effective nonlinear descriptions for Dp-branes follows directly from the partial supersymmetry breaking.</p> Signup and view all the answers

<p>The N = 2 multiplets identified in the work are the Maxwell-Goldstone and the Tensor-Goldstone multiplets.</p> Signup and view all the answers

<p>The methodology used to derive the bosonic and fermionic parts of the supersymmetric spacetime actions is the constrained superfield approach.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The effective description of Dp-branes is given by the DBI action.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The reason for the existence of effective nonlinear descriptions for Dp-branes is the presence of spontaneously broken symmetries.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The 3D N =1 superspace action corresponding to the 3D BI theory is the action associated with the effective description of the D2-brane.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>The duality transformation for the BI action and its 4D supersymmetric extension generates an inversion of a characteristic dimensionless parameter λ.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers