论文标题
脱壳高旋转量规超级典型和保守的超级气流
Off-shell higher-spin gauge supermultiplets and conserved supercurrents
论文作者
论文摘要
本文介绍了三个时空维度和四个时空维度中非统一高自旋超电流多重组的一般结构。这样的超级流是与无壳无质旋转量规超级典型的一对一信件，其中一些是在本文中首次构建的。在论文的第一部分中，我们为无质量整数Superspin多重组提出了一种新的外壳配方，其规格不变的作用涉及一种不受限制的复杂超符号预稳态，并与两种类型的补偿器结合使用。接下来，我们推断出一致的非统一高旋转$ {\ cal n} = 1 $ supercurrents的结构。对于4D $ {\ cal n} = 1 $ Minkowski和Ads Superspaces中的各种理论的显式表达式是针对各种理论得出的。其中包括具有任意质量矩阵的$ n $大型手性超级领域的模型，以及张量和复杂线性超级场的免费理论。论文的第二部分专门用于$ {\ cal n} = 1 $和$ {\ cal n} = 2 $ suppersymmetric suppersymmetric高旋转理论。在（1,1）ADS SuperSpace及其相应的SuperCurrents中的两种双重等效的外壳Lagrangian公式用于任意超级单位的无质量多层。关于（2,0）ADS超对称性，我们在手性超级场的模型中确定了一系列保守的高旋转电流，然后将其用于构造两个系列无质量的Half-Minteger Superspin多重型。最后，我们的（2,0）ADS Supermultiplet被简化为（1,0）ADS SuperSpace，产生了四个系列$ {\ cal n} = 1 $ supersympersymmemetric的高速旋转模型。讨论了这些无数模型的进一步应用，其中之一与广告中大量$ {\ cal n} = 1 $ gravitino Supermultiplet的两个新的外壳配方有关。
This thesis presents the general structure of non-conformal higher-spin supercurrent multiplets in three and four spacetime dimensions. Such supercurrents are in one-to-one correspondence with off-shell massless higher-spin gauge supermultiplets, some of which are constructed in this thesis for the first time. In the first part of the thesis, we propose a new off-shell formulation for a massless integer superspin multiplet, whose gauge-invariant action involves an unconstrained complex superconformal prepotential, in conjunction with two types of compensators. Next, we deduce the structure of consistent non-conformal higher-spin ${\cal N}=1$ supercurrents. Explicit expressions for such supercurrents are derived for various theories in 4D ${\cal N}=1$ Minkowski and AdS superspaces. These include a model of $N$ massive chiral superfields with an arbitrary mass matrix, along with free theories of tensor and complex linear superfields. The second part of the thesis is devoted to ${\cal N}=1$ and ${\cal N}=2$ supersymmetric higher-spin theories in 3D AdS space. Two dually equivalent off-shell Lagrangian formulations for the massless multiplets of arbitrary superspin in (1,1) AdS superspace and their corresponding supercurrents are derived. With regards to (2,0) AdS supersymmetry, we identify a multiplet of conserved higher-spin currents in models for a chiral superfield, which is then used to construct two series of a massless half-integer superspin multiplet. Finally, our (2,0) AdS supermultiplets are reduced to (1,0) AdS superspace, yielding four series of ${\cal N}=1$ supersymmetric higher-spin models. Further applications of these massless models are discussed, one of which is related to the construction of two new off-shell formulations for the massive ${\cal N}=1$ gravitino supermultiplet in AdS.
