论文标题
关于P形仪表理论及其保形限制
On p-form gauge theories and their conformal limits
论文作者
论文摘要
澄清了非线性P形式电动力学的各种配方之间的关系,阐明了与二元不变(2N-1)形式的二元性(2N-1) - 形式的电动力学和手性2N形式的电型电动力学在Minkowski SpaceTime d = 4n d = 4n和d = 4n+2。我们在D = 6中展示了一个新的手性2形式电动力学家族,这些家族限制了保形不变性的可能性。弱场极限是通过将尺寸减小到最近发现的Maxwell方程的Modmax概括有关的。对于N> 1,我们表明手性“强场” 2N形式电动力学通过尺寸还原(2; r) - (2n-1) - 形式电动力学的新SL(2; r) - 偶性理论。
Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n-1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D=4n and D=4n+2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D=6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell's equations. For n>1 we show that the chiral `strong-field' 2n-form electrodynamics is related by dimensional reduction to a new Sl(2;R)-duality invariant theory of (2n-1)-form electrodynamics.