Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence
نویسنده
چکیده
In order to understand a boundary description of Hawking radiation in AdS/CFT correspondence, we investigate the trace anomaly method in AdS2 space. In this method, Hawking radiation is derived from the trace anomaly of energy-momentum tensor in the bulk. We find a correspondence between the energy-momentum tensor and a composite operator in CFT1 and understand the anomalous properties of the energy-momentum tensor in terms of this composite operator. By using this correspondence, we reproduce Hawking radiation from the boundary description. In addition, we find a correspondence between higher-spin currents in the bulk and composite operators in the boundary. [email protected]
منابع مشابه
State Operator Correspondence and Entanglement in AdS2/CFT1
Since Euclidean global AdS2 space represented as a strip has two boundaries, the state-operator correspondence in the dual CFT1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the tensor product of two copies of the Hilbert space. Using this picture we argue that the corresponding states in the dual string theory living on AdS2 × K are de...
متن کاملOn the Near-Horizon Canonical Quantum Microstates from AdS2/CFT1 and Conformal Weyl Gravity
We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the conformal Weyl gravity formalism. We do this within an AdS2/CFT1 correspondence and by performing a Robinson–Wilczek two-dimensional reduction, thus enabling the construction of effective quantum theory of the remaining field content. The resulting energy momentum tensors...
متن کاملNear Extremal Kerr Entropy from AdS2 Quantum Gravity
We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS2/CFT1 correspondence. We find a Virasoro algebra with central charge cR = 12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy’s formula to determine t...
متن کاملHolography, degenerate horizons and entropy
We show that a realization of the correspondence AdS2/CFT1 for near extremal Reissner-Nordström black holes in arbitrary dimensional Einstein-Maxwell gravity exactly reproduces, via Cardy’s formula, the deviation of the BekensteinHawking entropy from extremality. We also show that this mechanism is valid for Schwarzschild-de Sitter black holes around the degenerate solution dS2×S. These results...
متن کاملRaiders of the Lost AdS
We demonstrate that under certain conditions a theory of conformal quantum mechanics will exhibit the symmetries of two halfVirasoro algebras. We further demonstrate the conditions under which these algebras combine to form a single Virasoro algebra, and comment on the connection between this result and the AdS2/CFT1 correspondence. e-mail address:[email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009