• DOI:10.1155/2017/6021419
• Corpus ID: 56322927

The origin of Chern-Simons modified gravity from an 11 + 3-dimensional manifold

@article{HelayelNeto2017TheOO,
  title={The origin of Chern-Simons modified gravity from an 11 + 3-dimensional manifold},
  author={Jos'e Abdalla Helayel-Neto and Alireza Sepehri},
  journal={Advances in High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-13}
}

• J. Helayel-Neto, A. Sepehri
• Published 13 January 2017
• Mathematics
• Advances in High Energy Physics

It is our aim to show that the Chern-Simons terms of modified gravity can be understood as generated by the addition of a 3-dimensional algebraic manifold to an initial 11-dimensional space-time manifold; this builds up an -dimensional space-time. In this system, firstly, some fields living in the bulk join the fields that live on the 11-dimensional manifold, so that the rank of the gauge fields exceeds the dimension of the algebra; consequently, there emerges an anomaly. To solve this problem, another 11-dimensional manifold is included in the -dimensional space-time, and it interacts with the initial manifold by exchanging Chern-Simon fields. This mechanism is able to remove the anomaly. Chern-Simons terms actually produce an extra manifold in the pair of 11-dimensional manifolds of the -space-time. Summing up the topology of both the 11-dimensional manifolds and the topology of the exchanged Chern-Simons manifold in the bulk, we conclude that the total topology shrinks to one, which is in agreement with the main idea of the Big Bang theory.