Geodesic description of Heavy-Light Virasoro blocks

We continue to investigate the dual description of the Virasoro conformal blocks arising in the framework of the classical limit of the AdS$_3$/CFT$_2$ correspondence. To give such an interpretation in previous studies, certain restrictions were necessary. Our goal here is to consider more general situation available through the worldline approximation to the dual AdS gravity. Namely, we are interested in computing the spherical conformal blocks without the previously imposed restrictions on the conformal dimensions of the internal channels. The duality is realised as an equality of the so-called heavy-light limit of the n-point conformal block and the action of n-2 particles propagating in some AdS-like background with either a conical singularity or a BTZ black hole. We describe a procedure that allows relaxing the constraint on the intermediate channels. To obtain an explicit expression for the conformal block on the CFT side, we use a recently proposed recursion procedure and find full agreement between the results of the boundary and bulk computations.Comment: 13 pages, v3: refs added, typos remove

Results of chalazion cryosurgery with an increased risk of complications

Background. At an appointment with an ophthalmologist, patients with pathological conditions of the eyelids are often dissatisfi ed with the effectiveness of the traditional surgical treatment.The aim: assessment of the functional state of the eye adnexa after cryodestruction of the chalazion with an increased risk of complications using modern cryosurgical equipment.Material and methods. Clinical studies were carried out in 254 patients (277 eyes) with chalazion, including a complicated course of the disease, with cryodestruction of the chalazion using an autonomous cryoapplicator made of porous-permeable titanium nickelide.Results. Cryosystems of the new generation, in comparison with the well-known industrial cryoapparatus, diff er in new properties. They can signifi cantly improve the quality of cryotherapy in surgery due to a clearer localization of cryotherapy and a high rate of heat removal from the surface of altered tissues without damaging the surrounding tissues. Depending on the size of the pathological formation, the duration of the exposure, the frequency of repetitions of the applications during the session, the regression of the chalazion occurred within 1–1.5 months with the preservation of the integrity of the intermarginal space and the functional state of the eyelid.Conclusion. Analysis of the data obtained indicates a high clinical and cosmetic effi ciency of cryosurgery of the eyelid chalazion using an autonomous cryoapplicator made of porous-permeable titanium nickelide