Formulae for line bundle cohomology on Calabi‐Yau threefolds

Fortschritte der Physik / Progress of Physics Wiley 67:12 (2019) 1900084

Authors:

Andrei Constantin, Andre Lukas

Abstract:

We present closed form expressions for the ranks of all cohomology groups of holomorphic line bundles on several Calabi‐Yau threefolds realised as complete intersections in products of projective spaces. The formulae have been obtained by systematising and extrapolating concrete calculations and they have been checked computationally. Although the intermediate calculations often involve laborious computations of ranks of Leray maps in the Koszul spectral sequence, the final results for cohomology follow a simple pattern. The space of line bundles can be divided into several different regions, and in each such region the ranks of all cohomology groups can be expressed as polynomials in the line bundle integers of degree at most three. The number of regions increases and case distinctions become more complicated for manifolds with a larger Picard number. We also find explicit cohomology formulae for several non‐simply connected Calabi‐Yau threefolds realised as quotients by freely acting discrete symmetries. More cases may be systematically handled by machine learning algorithms.

Boundary Conditions and the q-state Potts model on Random Planar Maps

(2019)

Authors:

Aravinth Kulanthaivelu, John F Wheater

Analytic results for deep-inelastic scattering at NNLO QCD with the nested soft-collinear subtraction scheme

(2019)

Authors:

Konstantin Asteriadis, Fabrizio Caola, Kirill Melnikov, Raoul Röntsch

Cosmic ray spectrum and composition from PeV to EeV using 3 years of data from IceTop and IceCube

PHYSICAL REVIEW D 100:8 (2019) ARTN 082002

Authors:

MG Aartsen, M Ackermann, J Adams, JA Aguilar, M Ahlers, M Ahrens, C Alispach, K Andeen, T Anderson, I Ansseau, G Anton, C Arguelles, J Auffenberg, S Axani, P Backes, H Bagherpour, X Bai, A Barbano, SW Barwick, V Baum, S Baur, R Bay, JJ Beatty, K-H Becker, J Becker Tjus, S BenZvi, D Berley, E Bernardini, DZ Besson, G Binder, D Bindig, E Blaufuss, S Blot, C Bohm, M Boerner, S Boeser, O Botner, J Boettcher, E Bourbeau, J Bourbeau, F Bradascio, J Braun, H-P Bretz, S Bron, J Brostean-Kaiser, A Burgman, J Buscher, RS Busse, T Carver, C Chen, E Cheung, D Chirkin, K Clark, L Classen, GH Collin, JM Conrad, P Coppin, P Correa, DF Cowen, R Cross, P Dave, JPAM de Andre, C De Clercq, JJ DeLaunay, H Dembinski, K Deoskar, S De Ridder, P Desiati, KD de Vries, G de Wasseige, M de With, T DeYoung, A Diaz, JC Diaz-Velez, H Dujmovic, M Dunkman, E Dvorak, B Eberhardt, T Ehrhardt, P Eller, PA Evenson, S Fahey, AR Fazely, J Felde, T Feusels, K Filimonov, C Finley, A Franckowiak, E Friedman, A Fritz, TK Gaisser, J Gallagher, E Ganster, S Garrappa, L Gerhardt, K Ghorbani, T Glauch, T Gluesenkamp, A Goldschmidt, JG Gonzalez, D Grant, Z Griffith, M Guender, M Guenduez, C Haack, A Hallgren, L Halve, F Halzen, K Hanson, D Hebecker, D Heereman, P Heix, K Helbing, R Hellauer, F Henningsen, S Hickford, J Hignight, GC Hill, KD Hoffman, R Hoffmann, T Hoinka, B Hokanson-Fasig, K Hoshina, F Huang, M Huber, K Hultqvist, M Huennefeld, R Hussain, S In, N Iovine, A Ishihara, E Jacobi, GS Japaridze, M Jeong, K Jero, BJP Jones, F Jonske, R Joppe, W Kang, A Kappes, D Kappesser, T Karg, M Karl, A Karle, U Katz, M Kauer, JL Kelley, A Kheirandish, J Kim, T Kintscher, J Kiryluk, T Kittler, SR Klein, R Koirala, H Kolanoski, L Koepke, C Kopper, S Kopper, DJ Koskinen, M Kowalski, K Krings, G Krueckl, N Kulacz, S Kunwar, N Kurahashi, A Kyriacou, M Labare, JL Lanfranchi, MJ Larson, F Lauber, JP Lazar, K Leonard, M Leuermann, QR Liu, E Lohfink, CJ Lozano Mariscal, L Lu, F Lucarelli, J Lunemann, W Luszczak, J Madsen, G Maggi, KBM Mahn, Y Makino, P Mallik, K Mallot, S Mancina, IC Mari, R Maruyama, K Mase, R Maunu, K Meagher, M Medici, A Medina, M Meier, S Meighen-Berger, T Menne, G Merino, T Meures, S Miarecki, J Micallef, G Momente, T Montaruli, RW Moore, R Morse, M Moulai, P Muth, R Nagai, R Nahnhauer, P Nakarmi, U Naumann, G Neer, H Niederhausen, SC Nowicki, DR Nygren, A Obertacke Pollmann, A Olivas, A O'Murchadha, E O'Sullivan, T Palczewski, H Pandya, DV Pankova, N Park, P Peiffer, C Perez de los Heros, S Philippen, D Pieloth, E Pinat, A Pizzuto, M Plum, A Porcelli, PB Price, GT Przybylski, C Raab, A Raissi, M Rameez, L Rauch, K Rawlins, IC Rea, R Reimann, B Relethford, G Renzi, E Resconi, W Rhode, M Richman, S Robertson, M Rongen, C Rott, T Ruhe, D Ryckbosch, D Rysewyk, I Safa, SE Sanchez Herrera, A Sandrock, J Sandroos, M Santander, S Sarkar, K Satalecka, M Schaufel, P Schlunder, T Schmidt, A Schneider, J Schneider, L Schumacher, S Sclafani, D Seckel, S Seunarine, S Shefali, M Silva, R Snihur, J Soedingrekso, D Soldin, M Song, GM Spiczak, C Spiering, J Stachurska, M Stamatikos, T Stanev, A Stasik, R Stein, J Stettner, A Steuer, T Stezelberger, RG Stokstad, A Stossl, NL Strotjohann, T Stuerwald, T Stuttard, GW Sullivan, M Sutherland, I Taboada, F Tenholt, S Ter-Antonyan, A Terliuk, S Tilav, L Tomankova, C Tonnis, S Toscano, D Tosi, M Tselengidou, CF Tung, A Turcati, R Turcotte, CF Turley, B Ty, E Unger, MA Unland Elorrieta, M Usner, J Vandenbroucke, W Van Driessche, D van Eijk, N van Eijndhoven, S Vanheule, J van Santen, M Vraeghe, C Walck, A Wallace, M Wallraff, N Wandkowsky, TB Watson, C Weaver, MJ Weiss, J Weldert, C Wendt, J Werthebach, S Westerhoff, BJ Whelan, N Whitehorn, K Wiebe, CH Wiebusch, L Wille, DR Williams, L Wills, M Wolf, J Wood, TR Wood, K Woschnagg, G Wrede, DL Xu, XW Xu, Y Xu, JP Yanez, G Yodh, S Yoshida, T Yuan, M Zoecklein, IceCube Collaboration

OpenLoops 2

European Physical Journal C SpringerOpen 79 (2019) 866

Authors:

Federico Buccioni, J-N Lang, JM Lindert, P Maierhöfer, S Pozzorini, H Zhang, MF Zoller