Vortices in (Abelian) Chern-Simons gauge theory

In this paper, considering the probe limit, we analytically study the onset of holographic s-wave condensate in the planar Schwarzschild-AdS background. Inspired by various low energy features of string theory, in the present work we replace the conventional Maxwell action by a (non-linear) Born-Infeld (BI) action which essentially corresponds to the higher derivative corrections of the gauge fields. Based on a variational method, which is commonly known as the Sturm-Liouville (SL) eigenvalue problem and considering a non-trivial asymptotic solution for the scalar field, we compute the critical temperature for the s-wave condensation. The results thus obtained analytically agree well with the numerical findings\cite{hs19}. As a next step, we extend our perturbative technique to compute the order parameter for the condensation. Interestingly our analytic results are found to be of the same order as the numerical values obtained earlier.

Holographic s-wave condensate with nonlinear electrodynamics: A nontrivial boundary value problem

We introduce new black hole solutions to the Einstein-Yang-Mills-Born-Infeld (EYMBI), Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet (EYMBIGB), and Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet-Lovelock (EYMBIGBL) gravities in higher dimensions $N\ensuremath{\ge}5$ to investigate the roles of Born-Infeld parameter $\ensuremath{\beta}$. It is shown that these solutions in the limits of $\ensuremath{\beta}\ensuremath{\rightarrow}0$ and $\ensuremath{\beta}\ensuremath{\rightarrow}\ensuremath{\infty}$ represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For $0l\ensuremath{\beta}l\ensuremath{\infty}$ it yields a variety of black holes, supporting even regular ones at $r=0$.

New non-Abelian black hole solutions in Born-Infeld gravity

Sefl-dual factorization of the proca equation with chern-simons term in 4K-1 dimensions

We construct and study stationary, asymptotically flat multicenter solutions describing regular black holes with non-Abelian hair (colored magnetic-monopole and dyon fields) in two models of $$ \mathcal{N}=2 $$
 , d = 4 Super-Einstein-Yang-Mills theories: the quadratic model $$ {\overline{\mathrm{\mathbb{C}}\mathrm{\mathbb{P}}}}^3 $$
 and the cubic model ST[2, 6], which can be embedded in 10-dimensional Heterotic Supergravity. These solutions are based on the multicenter dyon recently discovered by one of us, which solves the SU(2) Bogomol’nyi and dyon equations on $$ {\mathbb{E}}^3 $$
 . In contrast to the well-known Abelian multicenter solutions, the relative positions of the non-Abelian black-hole centers are unconstrained. We study necessary conditions on the parameters of the solutions that ensure the regularity of the metric. In the case of the $$ {\overline{\mathrm{\mathbb{C}}\mathrm{\mathbb{P}}}}^3 $$
 model we show that it is enough to require the positivity of the “masses” of the individual black holes, the finiteness of each of their entropies and their superadditivity. In the case of the ST[2, 6] model we have not been able to show that analogous conditions are sufficient, but we give an explicit example of a regular solution describing thousands of non-Abelian dyonic black holes in equilibrium at arbitrary relative positions. We also construct non-Abelian solutions that interpolate smoothly between just two aDS2×S2 vacua with different radii (dumbbell solutions).

/pdf/dyonic-black-holes-at-arbitrary-locations-71ac9wd1az.pdf

Dyonic black holes at arbitrary locations

http://repository.ias.ac.in/17748/1/379.pdf

Self-duality of a topologically massive Born–Infeld theory

On the uniqueness of supersymmetric attractors

In this paper we consider a massive vector field in the background of a space-time obtained by certain ${\mathbb{Z}}_{2}$ quotient of the Banados-Teitelboim-Zanelli black hole. We analyze the backreaction of the matter field on the space-time geometry up to first order in metric perturbation. The expectation value of the stress-energy tensor can be computed exactly by considering its pullback onto the covering space. Upon a suitable choice of the boundary condition on the vector field around a noncontractible cycle of the quotient manifold it is possible to obtain the average energy on a null geodesic to be negative there by resulting a traversable wormhole.

Self-supporting wormholes with a massive vector field

We study the effect of Freudenthal duality on supersymmetric extremal black hole attractors in &#x1d4a9; = 2, D = 4 ungauged supergravity. Freudenthal duality acts on the dyonic black hole charges as an anti-involution which keeps the black hole entropy and the critical points of the effective black hole potential invariant. We analyze its effect on the recently discovered distinct, mutually exclusive phases of axionic supersymmetric black holes, related to the existence of nontrivial involutory constant matrices. In particular, we consider a supersymmetric D0 − D4 − D6 black hole and we explicitly Freudenthal-map it to a supersymmetric D0 − D2 − D4 − D6 black hole. We thus show that the charge representation space of a supersymmetric D0 − D2 − D4 − D6 black hole also contains mutually exclusive domains.

Prasanta K. Tripathy

Papers

Self-duality of a topologically massive Born–Infeld theory

On the uniqueness of supersymmetric attractors

Self-supporting wormholes with a massive vector field

Supersymmetric black holes and Freudenthal duality

Monopoles in non-Abelian Einstein–Born–Infeld theory