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HBQFTNCER SIGNED

Holomorphic Blocks in Quantum Field Theory: New Constructions of Exact Results

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Project "HBQFTNCER" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITA' DEGLI STUDI DI MILANO-BICOCCA 

Organization address
address: PIAZZA DELL'ATENEO NUOVO 1
city: MILANO
postcode: 20126
website: www.unimib.it

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Total cost 1˙287˙088 €
 EC max contribution 1˙287˙088 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-09-01   to  2020-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA' DEGLI STUDI DI MILANO-BICOCCA IT (MILANO) coordinator 1˙253˙334.00
2    UNIVERSITY OF SURREY UK (GUILDFORD) participant 33˙753.00

Map

 Project objective

A central challenge in theoretical physics is to develop non-perturbative or exact methods to describe quantitatively the dynamics of strongly coupled quantum fields. This proposal aims to establish new exact methods for the study of supersymmetric quantum field theories thereby unveiling new integrable structures and fostering new correspondences and dualities. We will develop a new cut-and-sew formalism to compute partition functions and expectation values of observables of supersymmetric gauge theories on compact manifolds through the gluing of a fundamental set of building blocks, the holomorphic blocks. The decomposition of partition functions into holomorphic blocks corresponds to the geometric decomposition of compact manifolds into standard simpler pieces. Similarly the gluing rules for the holomorphic blocks correspond to the geometric gluing rules. The key insight required to exploit the holomorphic block formalism is the deep connection between supersymmetric gauge theories and low dimensional exactly solvable systems such as 2d CFTs, TQFTs and spin chains. Two and four dimensional holomorphic blocks can be reinterpreted as conformal blocks in Liouville theory through an established correspondence between supersymmetric gauge theories and Liouville theory. We will provide a similar realisation of three and five dimensional holomorphic blocks in a new theory, a q-deformed version of Liouville theory where the Virasoro algebra is replaced by the q-deformed Virasoro algebra. We will develop this theory classifying the symmetries of correlation functions. These symmetries will be realised as gauge theory dualities, while the language of the q-deformed Liouville theory will become a new powerful tool to investigate supersymmetric gauge theories.

 Publications

year authors and title journal last update
List of publications.
2018 Francesco Aprile, James Drummond, Paul Heslop, Hynek Paul
Double-trace spectrum of N = 4 supersymmetric Yang-Mills theory at strong coupling
published pages: , ISSN: 2470-0010, DOI: 10.1103/physrevd.98.126008
Physical Review D 98/12 2019-10-15
2018 Benjamin Assel, Alessandro Tomasiello
Holographic duals of 3d S-fold CFTs
published pages: https://link.spr, ISSN: 1029-8479, DOI: 10.1007/jhep06(2018)019
Journal of High Energy Physics 2018/6 2019-10-15
2019 Vladimir Bashmakov, Francesco Benini, Sergio Benvenuti, Matteo Bertolini
Living on the walls of super-QCD
published pages: , ISSN: 2542-4653, DOI: 10.21468/scipostphys.6.4.044
SciPost Physics 6/4 2019-10-15
2018 Seyed Morteza Hosseini, Kiril Hristov, Achilleas Passias, Alberto Zaffaroni
6D attractors and black hole microstates
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep12(2018)001
Journal of High Energy Physics 2018/12 2019-10-15
2018 Bernard de Wit, Sameer Murthy, Valentin Reys
BRST quantization and equivariant cohomology: localization with asymptotic boundaries
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP09(2018)084
Journal of High Energy Physics 2018/9 2019-10-15
2019 Daniël Prins
Supersymmeric Gauge Theory on Curved 7‐Branes
published pages: 1900009, ISSN: 0015-8208, DOI: 10.1002/prop.201900009
Fortschritte der Physik 67/5 2019-10-15
2019 Seyed Morteza Hosseini, Alberto Zaffaroni
Proving the equivalence of c-extremization and its gravitational dual for all toric quivers
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep03(2019)108
Journal of High Energy Physics 2019/3 2019-10-15
2019 Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Kazuma Suetake, Yegor Zenkevich
The MacMahon R-matrix
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep04(2019)097
Journal of High Energy Physics 2019/4 2019-10-15
2018 Seyed Morteza Hosseini, Itamar Yaakov, Alberto Zaffaroni
Topologically twisted indices in five dimensions and holography
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep11(2018)119
Journal of High Energy Physics 2018/11 2019-10-15
2018 F. Aprile, J. M. Drummond, P. Heslop, H. Paul
Loop corrections for Kaluza-Klein AdS amplitudes
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep05(2018)056
Journal of High Energy Physics 2018/5 2019-10-15
2017 Ibrahima Bah, Achilleas Passias, Alessandro Tomasiello
AdS5 compactifications with punctures in massive IIA supergravity
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP11(2017)050
Journal of High Energy Physics 2017/11 2019-10-15
2017 Sara Pasquetti
Holomorphic blocks and the 5d AGT correspondence
published pages: 443016, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa60fe
Journal of Physics A: Mathematical and Theoretical 50/44 2019-10-15
2017 Yegor Zenkevich
Refined toric branes, surface operators and factorization of generalized Macdonald polynomials
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP09(2017)070
Journal of High Energy Physics 2017/9 2019-10-15
2017 Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo, Yegor Zenkevich
Generalized Knizhnik-Zamolodchikov equation for Ding-Iohara-Miki algebra
published pages: , ISSN: 2470-0010, DOI: 10.1103/PhysRevD.96.026021
Physical Review D 96/2 2019-10-15
2018 Francesco Azzurli, Nikolay Bobev, P. Marcos Crichigno, Vincent S. Min, Alberto Zaffaroni
A universal counting of black hole microstates in AdS4
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP02(2018)054
Journal of High Energy Physics 2018/2 2019-10-15
2017 Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo, Yegor Zenkevich
Anomaly in RTT relation for DIM algebra and network matrix models
published pages: 358-385, ISSN: 0550-3213, DOI: 10.1016/j.nuclphysb.2017.03.003
Nuclear Physics B 918 2019-10-15
2017 Cyril Closset, Noppadol Mekareeya, Daniel S. Park
A-twisted correlators and Hori dualities
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP08(2017)101
Journal of High Energy Physics 2017/8 2019-10-15
2017 Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni
An extremization principle for the entropy of rotating BPS black holes in AdS5
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP07(2017)106
Journal of High Energy Physics 2017/7 2019-10-15
2017 Noppadol Mekareeya, Kantaro Ohmori, Yuji Tachikawa, Gabi Zafrir
E 8 instantons on type-A ALE spaces and supersymmetric field theories
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP09(2017)144
Journal of High Energy Physics 2017/9 2019-10-15
2017 Bernard de Wit, Valentin Reys
Euclidean supergravity
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP12(2017)011
Journal of High Energy Physics 2017/12 2019-10-15
2017 Noppadol Mekareeya, Tom Rudelius, Alessandro Tomasiello
T-branes, anomalies and moduli spaces in 6D SCFTs
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP10(2017)158
Journal of High Energy Physics 2017/10 2019-10-15
2017 Anindya Dey, Amihay Hanany, Peter Koroteev, Noppadol Mekareeya
On three-dimensional quiver gauge theories of type B
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP09(2017)067
Journal of High Energy Physics 2017/9 2019-10-15
2019 Francesco Aprile, Sara Pasquetti, Yegor Zenkevich
Flipping the head of T [SU(N)]: mirror symmetry, spectral duality and monopoles
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep04(2019)138
Journal of High Energy Physics 2019/4 2019-10-15
2019 Anton Nedelin, Sara Pasquetti, Yegor Zenkevich
T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep02(2019)176
Journal of High Energy Physics 2019/2 2019-10-15
2017 Francesca Ferrari, Valentin Reys
Mixed Rademacher and BPS black holes
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP07(2017)094
Journal of High Energy Physics 2017/7 2019-10-15
2017 Noppadol Mekareeya, Kantaro Ohmori, Hiroyuki Shimizu, Alessandro Tomasiello
Small instanton transitions for M5 fractions
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP10(2017)055
Journal of High Energy Physics 2017/10 2019-10-15
2016 Sergio Benvenuti, Sara Pasquetti
3d N $$ mathcal{N} $$ = 2 mirror symmetry, pq-webs and monopole superpotentials
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP08(2016)136
Journal of High Energy Physics 2016/8 2019-10-15
2017 Francesco Benini, Sergio Benvenuti, Sara Pasquetti
SUSY monopole potentials in 2+1 dimensions
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP08(2017)086
Journal of High Energy Physics 2017/8 2019-10-15

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