arXiv subjects

Edward Quijada

Publications and source records attributed to Edward Quijada.

3 recordsLinked to original sources

arXiv2017

Entanglement Entropy for D3-, M2- and M5-brane backgrounds

In the context of the gauge/gravity duality applications, we study and compute the entanglement entropy of gauge theories corresponding to string/M theories on D3-, M2- and M5-brane backgrounds. This is achieved using the Ryu-Takayanagi formula. We obtain the entanglement entropy for the general cases of the D3-, M2- and M5-brane backgrounds and also for the near horizon AdS limit, as well as the non-conformal flat space limit in each case.

hep-th↗

arXiv2017

A Study of confinement for $Q\bar{Q}$ potentials on D3, M2 & M5 branes

We study analytically and numerically the interaction potentials between a pair of quark an anti-quark on D3, M2 and M5 branes. These potentials are obtained using Maldacena's method involving Wilson loops and present confining and non-confining behaviours in different situations that we explore in this work. In particular, at the near horizon geometry the potentials are non-confining in agreement with conformal field theory expectations. On the other side, far from horizon, the dual field theories are no longer conformal and the potentials present confinement. This is in agreement with the behaviour of strings in flat space where the string mimics the expected flux tube of QCD. A study of the transition between the confining/non-confining regimes in the three different scenarios (D3, M2, M5) is also performed.

hep-th↗

arXiv2015

Wilson Loops for M2- and M5-brane spaces

We calculate configuration energies of string-like membranes in M2- and M5-brane spaces. In the near horizon approximation these backgrounds reduce to $AdS_4\times S^7$ and $AdS_7\times S^4$ spaces and the dual theories are supersymmetric $SU(N)$ gauge theories, in accordance with the AdS/CFT correspondence. In this case the string-like configuration energy is identified with the quark and anti-quark energy interaction in the dual theories. Far from the horizon the dual theory is more involved but any how we were able to calculate the string-like configuration energy. For limiting regimes we find simpler solutions for which some potentials exhibit a confinement behavior while others are non-confining.

hep-th↗