论文标题
几何扭转，4型，黎曼双重和精髓
Geometric torsion, 4-form, Riemann duals and Quintessence
论文作者
论文摘要
我们在$（4+1）$尺寸中重新审视了一个繁殖几何扭转$ {\ cal H} _3 $，并带有更新的利息。我们表明，配对对称$ 4 $ TH订单曲率张量是由两种形式的Neveu-Schwarz（NS）以$ u（1）$级理论公式提出的。有趣的是，新的时空曲率控制着由两种形式的NS磁场提出的无扭转几何形状，并具有Riemann Tensor的性质。另一方面，该配方中的完全反对称的$ 4 $ TH订单张量显示出动态的几何扭转校正，并被认为是通过非扰动校正来识别的。事实证明，四种形式为$ u（1）$规数不变的NS表格。我们表明，可以用轴子标量来优雅地描述出来的重力理论，可能意味着与Riemann型几何形状的典型耦合。适当地制定曲率以获取$ d $$ = $$ 12 $ epranent {\ it form}理论。调查表明，一对$（m {\ bar m}）_ {10} $ - Brane在事件范围内创建。我们表明，以脱钩极限为单位的新兴$ m $理论可以与$ n $$ = $$ 1 $ supergravity in $ d $$ = $$ 11 $识别。
We revisit an emergent gravity scenario in $(4+1)$ dimensions underlying a propagating geometric torsion ${\cal H}_3$ with a renewed interest. We show that a pair-symmetric $4$th order curvature tensor is sourced by a two-form Neveu-Schwarz (NS) in a $U(1)$ gauge theoretic formulation. Interestingly the new space-time curvature governs a torsion free geometry sourced by a two-form NS field and shares the properties of the Riemann tensor. On the other hand, a completely anti-symmetric $4$th order tensor in the formulation is shown to incorporate a dynamical geometric torsion correction and is argued to be identified with a non-perturbative correction. The four-form turns out to be $U(1)$ gauge invariant underlying an onshell NS form. We show that an emergent gravity theory may elegantly be described with an axionic scalar presumably signifying a quintessence coupling to the Riemann type geometries. The curvatures are appropriately worked out to obtain a $d$$=$$12$ emergent {\it form} theory. Investigation reveals that a pair of $(M{\bar M})_{10}$-brane is created across an event horizon. We show that an emergent $M$ theory in a decoupling limit identifies with the bosonic sector of $N$$=$$1$ Supergravity in $d$$=$$11$.
