论文标题
Virasoro代数和渐近对称性来自分数骨弦
Virasoro Algebra and Asymptotic Symmetries from Fractional Bosonic Strings
论文作者
论文摘要
这项工作的目的是进一步研究分数骨弦理论。特别是，我们在分数保形规上写了能量量张量，并研究了它们的对称性。我们介绍了所有订单的Virasoro运营商。实际上，我们发现相同的$ l_0（\ widetilde {l} _0）$运算符最初定义在分数波索克字符串的工作中，直至变化转换。此外，我们计算了分数Virasoro运营商的代数，发现$ WITT $代数。最后，我们表明，在理论的边界中，我们恢复了与$τ$ -Diffeomormormorming相关的丢失的保护法，证明我们在边界上有庞加莱的不变性。
The aim of this work is to further study the fractional bosonic string theory. In particular, we wrote the energy-momentum tensor in the fractional conformal gauge and study their symmetries. We introduced the Virasoro operators of all orders. In fact, we found the same $L_0 (\widetilde{L}_0)$ operator originally defined in the work of fractional bosonic string up to a shift transformation. Also, we compute the algebra of our Fractional Virasoro Operators, finding that the satifies the $Witt$ algebra. Lastly, we showed that in the boundary of our theory we recover the lost conservation law associated to $τ$-diffeomorphism, proving that we have Poincaré invariance at the boundary.
