Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new user$frac{SL(2,mathbb{R})times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $Tbar{T}$
99
0
0.0
(
0
)
Authors
Soumangsu Chakraborty
Ask ChatGPT about the research
No Arabic abstract
In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $frac{SL(2,mathbb{R})_ktimes U(1)}{U(1)}times S^3 times T^4$ with $SL(2,mathbb{R})$ WZW level $kgeq 2$, (ii) the full near horizon theory of the NS5 branes with $k$ NS5 branes wrapping $T^4times S^1$, $pgg1$ F1 strings wrapping $S^1$ and $n$ units of momentum along the $S^1$ and (iii) the single trace $Tbar{T}$ deformation of string theory in $AdS_3times S^3times T^4$. As a check we compute the spectrum of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace $Tbar{T}$ deformed string theory in $AdS_3$. Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.
rate research
Read More
We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-hermitian `Hamiltonian and show, using mostly analytical techniques, that it is described at low energies by the SL(2,R)/U(1) Euclidian black hole Conformal Field Theory. This identification goes beyond the appearance of a non-compact spectrum: we are also able to determine the density of states, and show that it agrees with the formulas in [J. Math. Phys. 42, 2961 (2001)] and [JHEP 04, 014 (2002)], hence providing a direct `physical measurement of the associated reflection amplitude.
The parity-preserving $U_A(1)times U_a(1)$ massive QED$_3$ is ultraviolet finiteness -- exhibits vanishing $beta$-functions, associated to the gauge coupling constants (electric and pseudochiral charges) and the Chern-Simons mass parameter, and all the anomalous dimensions of the fields -- as well as is parity and gauge anomaly free at all orders in perturbation theory. The proof is independent of any regularization scheme and it is based on the quantum action principle in combination with general theorems of perturbative quantum field theory by adopting the Becchi-Rouet-Stora (BRS) algebraic renormalization method in the framework of Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) subtraction scheme.
We study the origin of electroweak symmetry under the assumption that $SU(4)_{rm C} times SU(2)_{rm L} times SU(2)_{rm R}$ is realized on a five-dimensional space-time. The Pati-Salam type gauge symmetry is reduced to $SU(3)_{rm C} times SU(2)_{rm L} times U(1)_{rm R} times U(1)_{rm B-L}$ by orbifold breaking mechanism on the orbifold $S^1/Z_2$. The breakdown of residual gauge symmetries occurs radiatively via the Coleman-Weinberg mechanism, such that the $U(1)_{rm R} times U(1)_{rm B-L}$ symmetry is broken down to $U(1)_{rm Y}$ by the vacuum expectation value of an $SU(2)_{rm L}$ singlet scalar field and the $SU(2)_{rm L} times U(1)_{rm Y}$ symmetry is broken down to the electric one $U(1)_{rm EM}$ by the vacuum expectation value of an $SU(2)_{rm L}$ doublet scalar field regarded as the Higgs doublet. The negative Higgs squared mass term is originated from an interaction between the Higgs doublet and an $SU(2)_{rm L}$ singlet scalar field as a Higgs portal. The vacuum stability is recovered due to the contributions from Kaluza-Klein modes of gauge bosons.
We first derive the boundary theory from the U(1) Chern-Simons theory. We then introduce the Wilson line and discuss the effective action on an $n$-sheet manifold from the back-reaction of the Wilson line. The reason is that the U(1) Chern-Simons theory can provide an exact effective action when introducing the Wilson line. This study cannot be done in the SL(2) Chern-Simons formulation of pure AdS$_3$ Einstein gravity theory. It is known that the expectation value of the Wilson line in the pure AdS$_3$ Einstein gravity is equivalent to entanglement entropy in the boundary theory up to classical gravity. We show that the boundary theory of the U(1) Chern-Simons theory deviates by a self-interaction term from the boundary theory of the AdS$_3$ Einstein gravity theory. It provides a convenient path to the building of minimum surface=entanglement entropy in the SL(2) Chern-Simons formulation. We also discuss the Hayward term in the SL(2) Chern-Simons formulation to compare with the Wilson line approach. To reproduce the entanglement entropy for a single interval at the classical level, we introduce two wedges under a regularization scheme. We propose the quantum generalization by combining the bulk and Hayward terms. The quantum correction of the partition function vanishes. In the end, we exactly calculate the entanglement entropy for a single interval. The pure AdS$_3$ Einstein gravity theory shows a shift of central charge by 26 at the one-loop level. The U(1) Chern-Simons theory does not have such a shift from the quantum effect, and the result is the same in the weak gravitational constant limit. The non-vanishing quantum correction shows the naive quantum generalization of the Hayward term is incorrect.
We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor $ u=1$ in the lowest Landau level. We consider short-range interactions within and between the two layers, as well as the inter-layer tunneling. In the fully polarized regime, we provide an updated detailed numerical analysis to establish the presence of the Moore-Read phase of both even and odd numbers of particles. In the actual bilayer situation, we find that both inter-layer interactions and tunneling can provide the physical mechanism necessary for the low-energy physics to be driven by the fully polarized regime, thus leading to the emergence of the Moore-Read phase. Inter-layer interactions favor a ferromagnetic phase when the system is $SU(2)$ symmetric, while the inter-layer tunneling acts as a Zeeman field polarizing the system. Besides the Moore-Read phase, the $(220)$ Halperin state and the coupled Moore-Read state are also realized in this model. We study their stability against each other.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
