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Journal of High Energy Physics

, 2015:162

First Online: 24 November 2015Received: 10 August 2015Accepted: 09 November 2015 Abstract

We present a symplectic rearrangement of the effective four-dimensional non-geometric scalar potential resulting from type IIB superstring compactification on Calabi Yau orientifolds. The strategy has two main steps. In the first step, we rewrite the four dimensional scalar potential utilizing some interesting flux combinations which we call new generalized flux orbits. After invoking a couple of non-trivial symplectic relations, in the second step, we further rearrange all the pieces of scalar potential into a completely ‘symplectic-formulation’ which involves only the symplectic ingredients such as period matrix etc. without the need of knowing Calabi Yau metric. Moreover, the scalar potential under consideration is induced by a generic tree level Kähler potential and non-geometric flux superpotential for arbitrary numbers of complex structure moduli, Kähler moduli and odd-axions. Finally, we exemplify our symplectic formulation for the two well known toroidal examples based on type IIB superstring compactification on \ {\mathbb{T}}^6-\left{\mathbb{Z}} 2\times {\mathbb{Z}} 2 ight \-orientifold and \ {\mathbb{T}}^6-{\mathbb{Z}} 4 \-orientifold.

KeywordsFlux compactifications Supergravity Models Superstring Vacua ArXiv ePrint: 1508.01197

From October 1, 2015, the address has been changed to: ICTP, Strada Costiera 11, Trieste 34014, Italy

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Author: Pramod Shukla

Source: https://link.springer.com/







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