Emergence of Species Scale Black Hole Horizons

The scale at which quantum gravity becomes manifest, the species scale $\Lambda_s$, has recently been argued to take values parametrically lower than the Planck scale. We use black holes of vanishing horizon area (small black holes) in effective field theories coupled to quantum gravity to shed light on how the three different physical manifestations of the species scale $\Lambda_s$ relate to each other. (i) Near the small black hole core, a scalar field runs to infinite distance in moduli space, a regime in which the Swampland Distance Conjecture predicts a tower of exponentially light states, which lower $\Lambda_s$. (ii) We integrate out modes in the tower and generate via Emergence a set of higher derivative corrections, showing that $\Lambda_s$ is the scale at which such terms become relevant. (iii) Finally, higher derivative terms modify the black hole solution and grant it a non-zero, species scale sized stretched horizon of radius $\Lambda_s^{-1}$, showcasing the species scale as the size of the smallest possible black hole describable in the effective theory. We present explicit 4d examples of small black holes in 4d $\mathcal{N}=2$ supergravity, and the 10d example of type IIA D0-branes. The emergence of the species scale horizon for D0-branes requires a non-trivial interplay of different 8-derivative terms in type IIA and M-theory, providing a highly non-trivial check of our unified description of the different phenomena associated to the species scale.Comment: 40 pages + appendix, 1 figure; v2: minor corrections, reference adde

Entropy Bounds and the Species Scale Distance Conjecture

The Swampland Distance Conjecture (SDC) states that, as we move towards an infinite distance point in moduli space, a tower of states becomes exponentially light with the geodesic distance in any consistent theory of Quantum Gravity. Although this fact has been tested in large sets of examples, it is fair to say that a bottom-up justification that explains both the geodesic requirement and the exponential behavior has been missing so far. In the present paper we address this issue by making use of the Covariant Entropy Bound as applied to the EFT. When applied to backgrounds of the Dynamical Cobordism type in theories with a moduli space, we are able to recover these main features of the SDC. Moreover, this naturally leads to universal lower and upper bounds on the 'decay rate' parameter $\lambda_{\text{sp}}$ of the species scale, that we propose as a convex hull condition under the name of Species Scale Distance Conjecture (SSDC). This is in contrast to already proposed universal bounds, that apply to the SDC parameter of the lightest tower. We also extend the analysis to the case in which asymptotically exponential potentials are present, finding a nice interplay with the asymptotic de Sitter conjecture. To test the SSDC, we study the convex hull that encodes the (asymptotic) moduli dependence of the species scale. In this way, we show that the SSDC is the strongest bound on the species scale exponential rate which is preserved under dimensional reduction and we verify it in M-theory toroidal compactifications.Comment: 54 pages + Appendix, 17 figures, 2 table

Dynamical cobordism and swampland distance conjectures

We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The solutions have necessarily finite extent in spacetime, and are capped off by boundaries at a finite distance, in a dynamical realization of the Cobordism Conjecture. We show that as the configuration approaches these cobordism walls of nothing, the scalar fields run off to infinite distance in moduli space, allowing to explore the implications of the Swampland Distance Conjecture. We uncover new interesting scaling relations linking the moduli space distance and the SDC tower scale to spacetime geometric quantities, such as the distance to the wall and the scalar curvature. We show that walls at which scalars remain at finite distance in moduli space correspond to domain walls separating different (but cobordant) theories/vacua; this still applies even if the scalars reach finite distance singularities in moduli space, such as conifold points. We illustrate our ideas with explicit examples in massive IIA theory, M-theory on CY threefolds, and 10d non-supersymmetric strings. In 4d N = 1 theories, our framework reproduces a recent proposal to explore the SDC using 4d string-like solution

Dynamical cobordism and swampland distance conjectures

We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The solutions have necessarily finite extent in spacetime, and are capped off by boundaries at a finite distance, in a dynamical realization of the Cobordism Conjecture. We show that as the configuration approaches these cobordism walls of nothing, the scalar fields run off to infinite distance in moduli space, allowing to explore the implications of the Swampland Distance Conjecture. We uncover new interesting scaling relations linking the moduli space distance and the SDC tower scale to spacetime geometric quantities, such as the distance to the wall and the scalar curvature. We show that walls at which scalars remain at finite distance in moduli space correspond to domain walls separating different (but cobordant) theories/vacua; this still applies even if the scalars reach finite distance singularities in moduli space, such as conifold points. We illustrate our ideas with explicit examples in massive IIA theory, M-theory on CY threefolds, and 10d non-supersymmetric strings. In 4d N = 1 theories, our framework reproduces a recent proposal to explore the SDC using 4d string-like solution

At the end of the world: Local dynamical cobordism

The Cobordism Conjecture states that any Quantum Gravity configuration admits, at topological level, a boundary ending spacetime. We study the dynamical realization of cobordism, as spacetime dependent solutions of Einstein gravity coupled to scalars containing such end-of-the-world ‘branes’. The latter appear in effective theory as a singularity at finite spacetime distance at which scalars go off to infinite field space distance. We provide a local description near the end-of-the-world branes, in which the solutions simplify dramatically and are characterized in terms of a critical exponent, which controls the asymptotic profiles of fields and the universal scaling relations among the spacetime distance to the singularity, the field space distance, and the spacetime curvature. The analysis does not rely on supersymmetry. We study many explicit examples of such Local Dynamical Cobordisms in string theory, including 10d massive IIA, the 10d non-supersymmetric USp(32) theory, Bubbles of Nothing, 4d N = 1 cosmic string solutions, the Klebanov-Strassler throat, Dp-brane solutions, brane configurations related to the D1/D5 systems, and small black holes. Our framework encompasses diverse recent setups in which scalars diverge at the core of defects, by regarding them as suitable end-of-the-world branes. We explore the interplay of Local Dynamical Cobordisms with the Distance Conjecture and other swampland constraintsThis work is supported through the grants CEX2020-001007-S and PGC2018-095976-B-C21, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. The work by R.A. is supported by the grant BESST-VACUA of CSIC. The work by M.D. is supported by the FPI gran no. FPI SEV-2016-0597-19-3 from Spanish National Research Agency from the Ministry of Science and Innovation. The work by J.C. and J. H. is supported by the FPU grants no. FPU17/04181 and FPU20/01495 from the Spanish Ministry of Educatio

Transmigration of impacted lower canine : Case report and review of literature

Retention, that is, a permanent tooth which is unerupted more than a year after the normal age of eruption, is a relatively rare event, except in the case of the third molars and the upper canines. Transmigration is defined as the phenomenon of more than half an unerupted impacted tooth crossing the midline. We report the clinical case of a twenty-year-old patient presenting transmigration of the lower left canine, with a type 4 transmigration pattern (Mupparapu). Likewise, we carried out a review of the literature of the cases that have been published on transmigration, updating the main aspects of this pathology

Transmigración del canino inferior incluido: presentación de un caso y revisión de la literatura

La retención, es decir, la no erupción de un diente permanente más allá de un año después de la edad normal de erupción, es relativamente poco frecuente si exceptuamos el caso de los terceros molares y los caninos superiores. La transmigración se define como el fenómeno en el cual un diente incluido no erupcionado traspasa en más de la mitad de su longitud la línea media. Exponemos el caso clínico de una paciente de 20 años de edad, que presentaba la transmigración del canino inferior izquierdo, con un patrón de migración tipo 4 de Mupparapu. De igual forma, realizamos una revisión bibliográfica de los casos publicados de transmigración, actualizando los principales aspectos de esta patología.Retention, that is, a permanent tooth which is unerupted more than a year after the normal age of eruption, is a relatively rare event, except in the case of the third molars and the upper canines. Transmigration is defined as the phenomenon of more than half an unerupted impacted tooth crossing the midline. We report the clinical case of a twenty-year-old patient presenting transmigration of the lower left canine, with a type 4 transmigration pattern (Mupparapu). Likewise, we carried out a review of the literature of the cases that have been published on transmigration, updating the main aspects of this pathology

Optimización de un prototipo de sistema fotovoltaico autónomo para iluminación de anuncios espectaculares

Los sistemas fotovoltaicos autónomos utilizan módulos fotovoltaicos, baterías y reguladores de carga con objeto de suministrar electricidad fuera de la red eléctrica a equipos de consumo, los cuales pueden operar en horarios donde no existe suficiente irradiancia solar, por ejemplo durante la noche. En el presente artículo se resume la optimización realizada a un prototipo de sistema fotovoltaico autónomo para iluminación de anuncios espectaculares. El prototipo se concibió para iluminar de manera autónoma un anuncio espectacular en Aguascalientes durante 4 horas cada día al ponerse el sol.El análisis energético del prototipo actual ha permitido detectar un desempeño insuficiente para las características de irradiación solar media en los meses de Julio y Diciembre en Aguascalientes (meses más desfavorables de irradiación en esta ubicación para la inclinación del arreglo fotovoltaico del prototipo). Como resultado se ha propuesto un cambio en el diseño del arreglo fotovoltaico y se han realizado las predicciones del desempeño energético del nuevo diseño. Adicionalmente, se ha diseñado un sistema automático de encendido/apagado a partir de un sensor de iluminación y un controlador Arduino. Como resultado de la optimización, se obtiene un prototipo de mejores prestaciones y con un costo similar al prototipo actual.Palabra(s) Clave(s): arduino, optimización, sistema fotovoltaico autónomo