TY - JOUR A2 - Nicolini, Piero AU - Helayël-Neto, J. A. AU - Sepehri, Alireza AU - Ghaffary, Tooraj PY - 2017 DA - 2017/12/20 TI - The Origin of Chern-Simons Modified Gravity from an 11 + 3-Dimensional Manifold SP - 6021419 VL - 2017 AB - 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 11 + 3 -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 11 + 3 -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 11 + 3 -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. SN - 1687-7357 UR - https://doi.org/10.1155/2017/6021419 DO - 10.1155/2017/6021419 JF - Advances in High Energy Physics PB - Hindawi KW - ER -