A stringy glimpse into the black hole horizon

We present a detailed discussion of the entanglement structure of vector fields through canonical quantization. We quantize Maxwell theory in Rindler space in Lorenz gauge, discuss the Hilbert space structure and analyze the Unruh effect. As a warm-up, in 1+1 dimensions, we compute the spectrum and prove that the theory is thermodynamically trivial. In d + 1 dimensions, we identify the edge sector as eigenstates of horizon electric flux or equivalently as states representing large gauge transformations, localized on the horizon. The edge Hilbert space is generated by inserting a generic combination of Wilson line punctures in the edge vacuum, and the edge states are identified as Maxwell microstates of the black hole. This construction is repeated for Proca theory. Extensions to tensor field theories, and the link with Chern-Simons are discussed.

Section: Resultsmentioning

confidence: 99%

Edge state quantization: vector fields in Rindler

Blommaert

Mertens

Verschelde

et al. 2018

“…We claimed that such an effective action must involve a "horizon order parameter"; an operator whose expectation value indicates if we are inside or outside the BH. The horizon order parameter meant to be a trigger that modifies the physics inside the BH considerably compared to the standard physics outside the BH.Recently [3] it was argued that in the case of the 2D SL(2, R) k /U (1) BH [4-6] the horizon order parameter might take a particularly simple formwhere Φ is the dilaton. Outside the SL(2, R) k /U (1) BH the operator O is positive while inside the BH it is negative.…”

mentioning

confidence: 99%

“…Recently [3] it was argued that in the case of the 2D SL(2, R) k /U (1) BH [4-6] the horizon order parameter might take a particularly simple form…”

mentioning

confidence: 99%

See 1 more Smart Citation

Stringy instability inside the black hole

Itzhaki

2018

Self Cite

We show that negative (∇Φ) 2 , where Φ is the dilaton, leads to a rapid creation of folded strings. Consequently it appears that the interior of the SL(2, R) k /U (1) black hole is not empty, but is filled with folded strings.Motivated by [1] we speculated sometime ago [2] that a concrete way to express the challenge in having a non trivial structure at the horizon of a large Black Hole (BH) is to be able to write down an effective action that renders the horizon special. We claimed that such an effective action must involve a "horizon order parameter"; an operator whose expectation value indicates if we are inside or outside the BH. The horizon order parameter meant to be a trigger that modifies the physics inside the BH considerably compared to the standard physics outside the BH.Recently [3] it was argued that in the case of the 2D SL(2, R) k /U (1) BH [4-6] the horizon order parameter might take a particularly simple formwhere Φ is the dilaton. Outside the SL(2, R) k /U (1) BH the operator O is positive while inside the BH it is negative. Some indirect evidence from the exact reflection coefficient of [7] was provided that the SL(2, R) k /U (1) BH interior is not empty in classical string theory [8,3]. These papers, however, did not explain how come the SL(2, R) k /U (1) BH is not empty or what it is filled with. Moreover no relation with O was established. In particular it was not clear how the fact that O flips sign when crossing the horizon could possibly trigger non trivial effects inside the BH.1

“…Thus, the black-hole interior, that was just argued to be AdS 2 space-time, is disconnected from the region outside the black hole, due to a singular horizon (see figure 2), that prevents matter from falling in. In [24,25], a different reasoning led to the same conclusion, that the black NS5-branes horizon is singular.…”

Section: Jhep08(2020)020mentioning

confidence: 92%

Instant folded strings and black fivebranes

Giveon

Itzhaki

Peleg

2020

Self Cite

We study the recent claim that black NS5-branes are filled with folded strings. We calculate, in the near-extremal case, the number of folded strings at the black fivebranes interior, using different approaches, and get the exact same answer. The backreaction of the folded strings leads us to argue that the interior of the black fivebrane is AdS 2 (times a compact manifold) and that infalling matter cannot reach the interior, due to a shock wave at the horizon. These considerations also suggest a novel insight into the black fivebranes entropy.