Hyperbolic string vertices

Costello, Kevin; Zwiebach, Barton

doi:10.1007/jhep02(2022)002

Hyperbolic string vertices

Journal Article · Mon Jan 31 23:00:00 EST 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2022)002· OSTI ID:1976442

Costello, Kevin ^[1]; Zwiebach, Barton ^[2]

Perimeter Institute of Theoretical Physics, Waterloo (Canada); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

The string vertices of closed string field theory are subsets of the moduli spaces of punctured Riemann surfaces that satisfy a geometric version of the Batalin-Vilkovisky master equation. We present a homological proof of existence of string vertices and their uniqueness up to canonical transformations. Using hyperbolic metrics on surfaces with geodesic boundaries we give an exact construction of string vertices as sets of surfaces with systole greater than or equal to L with L ≤ 2 arcsinh 1. Intrinsic hyperbolic collars prevent the appearance of short geodesics upon sewing. The surfaces generated by Feynman diagrams are naturally endowed with Thurston metrics: hyperbolic on the vertices and flat on the propagators. For the classical theory the length L is arbitrary and, as L → ∞hyperbolic vertices become the minimal-area vertices of closed string theory

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Krembil Foundation; Perimeter Institute for Theoretical Physics; Natural Sciences and Engineering Research Council of Canada (NSERC)

Grant/Contract Number:: SC0012567

OSTI ID:: 1976442

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (30)

Developing the Covariant Batalin-Vilkovisky Approach to String Theory Hata, H.; Zwiebach, B. Annals of Physics, Vol. 229, Issue 1 https://doi.org/10.1006/aphy.1994.1006	journal	January 1994
How covariant closed string theory solves a minimal area problem Zwiebach, Barton Communications in Mathematical Physics, Vol. 136, Issue 1 https://doi.org/10.1007/bf02096792	journal	February 1991
Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces Mirzakhani, Maryam Inventiones mathematicae, Vol. 167, Issue 1 https://doi.org/10.1007/s00222-006-0013-2	journal	October 2006
Closed string field theory from polyhedra Saadi, Maha; Zwiebach, Barton Annals of Physics, Vol. 192, Issue 1 https://doi.org/10.1016/0003-4916(89)90126-7	journal	May 1989
Tensor constructions of open string theories (I) foundations Gaberdiel, Matthias R.; Zwiebach, Barton Nuclear Physics B, Vol. 505, Issue 3 https://doi.org/10.1016/s0550-3213(97)00580-4	journal	November 1997
The hyperbolic metric and the geometry of the universal curve Wolpert, Scott A. Journal of Differential Geometry, Vol. 31, Issue 2 https://doi.org/10.4310/jdg/1214444322	journal	January 1990
Super Riemann surfaces: Uniformization and Teichm�ller theory Crane, Louis; Rabin, Jeffrey M. Communications in Mathematical Physics, Vol. 113, Issue 4 https://doi.org/10.1007/BF01223239	journal	December 1988
How covariant closed string theory solves a minimal area problem Zwiebach, Barton Communications in Mathematical Physics, Vol. 136, Issue 1 https://doi.org/10.1007/BF02096792	journal	February 1991
Background independent algebraic structures in closed string field theory Sen, Ashoke; Zwiebach, Barton Communications in Mathematical Physics, Vol. 177, Issue 2 https://doi.org/10.1007/BF02101895	journal	April 1996
Ueber den ersten Eigenwert des Laplace-Operators auf ausgewählten Beispielen kompakter Riemannscher Flächen Jenni, Felix Commentarii Mathematici Helvetici, Vol. 59, Issue 1 https://doi.org/10.1007/BF02566345	journal	December 1984
BV master action for heterotic and type II string field theories Sen, Ashoke Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)087	journal	February 2016
Hyperbolic geometry and closed bosonic string field theory. Part I. The string vertices via hyperbolic Riemann surfaces Moosavian, Seyed Faroogh; Pius, Roji Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)157	journal	August 2019
Hyperbolic geometry and closed bosonic string field theory. Part II. The rules for evaluating the quantum BV master action Moosavian, Seyed Faroogh; Pius, Roji Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)177	journal	August 2019
Grafting hyperbolic metrics and Eisenstein series Obitsu, Kunio; Wolpert, Scott A. Mathematische Annalen, Vol. 341, Issue 3 https://doi.org/10.1007/s00208-008-0210-y	journal	February 2008
Convex Programs for Minimal-Area Problems Headrick, Matthew; Zwiebach, Barton Communications in Mathematical Physics, Vol. 377, Issue 3 https://doi.org/10.1007/s00220-020-03732-1	journal	March 2020
Minimal-Area Metrics on the Swiss Cross and Punctured Torus Headrick, Matthew; Zwiebach, Barton Communications in Mathematical Physics, Vol. 377, Issue 3 https://doi.org/10.1007/s00220-020-03734-z	journal	March 2020
Simple geodesics and a series constant over Teichmuller space McShane, Greg Inventiones Mathematicae, Vol. 132, Issue 3 https://doi.org/10.1007/s002220050235	journal	May 1998
Non-polynomial closed string field theory Kugo, Taichiro; Kunitomo, Hiroshi; Suehiro, Kazuhiko Physics Letters B, Vol. 226, Issue 1-2 https://doi.org/10.1016/0370-2693(89)90287-6	journal	August 1989
Closed string field theory loops with symmetric factorizable quadratic differentials Sonoda, Hidenori; Zwiebach, Barton Nuclear Physics B, Vol. 331, Issue 3 https://doi.org/10.1016/0550-3213(90)90086-S	journal	February 1990
Closed string field theory: Quantum action and the Batalin-Vilkovisky master equation Zwiebach, Barton Nuclear Physics B, Vol. 390, Issue 1 https://doi.org/10.1016/0550-3213(93)90388-6	journal	January 1993
Quantum background independence of closed-string field theory Sen, Ashoke; Zwiebach, Barton Nuclear Physics B, Vol. 423, Issue 2-3 https://doi.org/10.1016/0550-3213(94)90145-7	journal	July 1994
Tensor constructions of open string theories (I) foundations Gaberdiel, Matthias R.; Zwiebach, Barton Nuclear Physics B, Vol. 505, Issue 3 https://doi.org/10.1016/S0550-3213(97)00580-4	journal	November 1997
The grafting map of Teichmüller space Scannell, Kevin; Wolf, Michael Journal of the American Mathematical Society, Vol. 15, Issue 4 https://doi.org/10.1090/S0894-0347-02-00395-8	journal	May 2002
Weil-Petersson volumes and intersection theory on the moduli space of curves Mirzakhani, Maryam Journal of the American Mathematical Society, Vol. 20, Issue 1 https://doi.org/10.1090/S0894-0347-06-00526-1	journal	March 2006
Complex earthquakes and Teichmüller theory McMullen, Curtis Journal of the American Mathematical Society, Vol. 11, Issue 2 https://doi.org/10.1090/S0894-0347-98-00259-8	journal	January 1998
Closed superstring field theory and its applications de Lacroix, Corinne; Erbin, Harold; Kashyap, Sitender Pratap International Journal of Modern Physics A, Vol. 32, Issue 28n29 https://doi.org/10.1142/S0217751X17300216	journal	October 2017
Developments in topological gravity Dijkgraaf, Robbert; Witten, Edward International Journal of Modern Physics A, Vol. 33, Issue 30 https://doi.org/10.1142/S0217751X18300296	journal	October 2018
Projective structures, grafting and measured laminations Dumas, David; Wolf, Michael Geometry & Topology, Vol. 12, Issue 1 https://doi.org/10.2140/gt.2008.12.351	journal	March 2008
Riemann surfaces with boundary and natural triangulations of the Teichmüller space Mondello, Gabriele Journal of the European Mathematical Society https://doi.org/10.4171/JEMS/263	journal	January 2011
Grafting, harmonic maps and projective structures on surfaces Tanigawa, Harumi Journal of Differential Geometry, Vol. 47, Issue 3 https://doi.org/10.4310/jdg/1214460545	journal	January 1997

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