Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are obtained via duality transformation. Analogous construction for three Euclidean dimensions, with magnetic charges interacting with electric currents, is also done. The role of Dirac strings as dislocations in the configurations of gauge potential is emphasized.
We develop the duality transformation rules in two-dimensional theories in the superfield formalism. Even if the chiral superfield which we dualize involves an F-term, we can dualize it by virtue of the property of chiral superfields. We apply the duality transformation rule of the neutral chiral superfield to the ${\cal N}=(4,4)$ gauged linear sigma model for five-branes. We also investigate the duality transformation rule of the charged chiral superfield in the ${\cal N} = (4,4)$ gauged linear sigma model for the $A_1$-type ALE space. In both cases we obtain the dual Lagrangians in the super…
We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus. However, the resulting backgrounds turn out to be geometric in nature. To perform the duality transformations, we develop a novel procedure for non-abelian T-duality, which follows a route different compared to the known literature, and which highlights the underlying structure from an alternative point of view.
In this note we study T-duality transformations for the NS5-brane and its orbifolds along angular directions. We identify a geometric charge for these configurations and show that it is interchanged with the H-flux under T-duality. We furthermore perform a supersymmetry analysis and find that T-duality can break supersymmetry, in agreement with earlier results in the literature. We contrast our findings to compactifications of the NS5-brane on tori, which have vanishing geometric charge and for which T-duality transformations along the compact directions preserve supersymmetry. This shows that…
Solution--Generating Transformations and the String Effective Action
我们详尽地研究了超弦理论低能有效作用量背景下产生解的变换（对偶）。我们首先考虑目标空间的对偶（“T对偶”）变换在没有向量场。我们发现对于一个等距，全对偶群是（SO ^{\uparrow}（1，1））^{3} x D_{4}，离散部分（D_{4}）是非阿贝尔的。然后，我们，包括非阿贝尔杨-米尔斯领域，并找到相应的推广的T对偶变换。我们研究了对这些变换的α ^{\prime}修正，并证明了如果规范群嵌入完整群，T对偶规则会大大简化。接下来，在有阿贝尔向量场的情况下，我们考虑对偶群，其中包括由森引入的变换，该变换在度量、轴子和向量场的分量之间旋转。最后，我们列出了具有一个等距的II型理论的对偶对称性。
We consider the S-duality transformation of gauge invariant operators and states in $\mathcal{N}$ $=4$ SYM theory. The transformation is realized through an operator $ S $ which is the $ SL(2,Z) $ canonical transformation in loop space with the gauge invariant electric and the magnetic flux operators composing the canonical variables. Based on $ S $, S-duals for all of the physical operators and states can be defined. The criterion for the theory to be S-duality invariant is that the superconformal charges and their S-duals differ by a $ U(1)_{Y} $ phase. The verification can be done by checki…
The problem with the U-duality transformation of membrane on $T^{n}$ is recently addressed in [arXiv:1509.02915 [hep-th]]. We will consider the U-duality transformation rule of membrane on $T^{n}\times R$. It turns out that winding modes on $T^{n}$ should be taken into account, since the duality transformation may bring the membrane configuration without winding modes into the one with winding modes. With the winding modes added, the membrane worldvolume theory in lightcone gauge is equivalent to the $n+1$ dimensional super-Yang-Mills (SYM) theory in $\tilde{T}^{n}$, which has $SL(2,Z)\times S…
We study a model of massive photons with a parity invariant and non-local mass term. We identify a discrete symmetry of the classical equations of motion and show that this symmetry can be thought of as an electric-magnetic duality valid only in the presence of a non-zero photon mass. We explore this duality and discuss some features of the theory. We define notions of electric and magnetic charge that can be computed in any spatial domain as a volume integral of a density. These integrals can be transformed into integrals on the boundary. For instance, the electric charge is given by the sum …
