4d $ \mathcal{N}=1/2d $ Yang-Mills duality in holography

Fluder, Martin

doi:10.1007/jhep08(2018)038

4d $$ \mathcal{N}=1/2d $$ Yang-Mills duality in holography

Journal Article · Thu Aug 09 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2018)038· OSTI ID:1501464

Fluder, Martin ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; California Inst. of Technology, Pasadena, CA (United States)

We study the supergravity dual of four-dimensional N = 1 superconformal field theories arising from wrapping M5-branes on a Kähler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living on the cobordism between the infrared and ultraviolet Riemann surfaces, describing the renormalization group flows between AdS₇ and AdS₅ as well as between different AdS₅ fixed points. Here the realization of this system as an effective theory is convenient to make connections to known theories, and we show that upon imposing (physical) infrared boundary conditions, the effective three-dimensional theory further reduces to two-dimensional SU(2) Yang-Mills theory on the Riemann surface.

View Accepted Manuscript (DOE)

Research Organization:: California Inst. of Technology, Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011632

OSTI ID:: 1501464

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (23)

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points Beem, Christopher; Gadde, Abhijit Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/jhep04(2014)036	journal	April 2014
Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles Caporaso, Nicola; Cirafici, Michele; Griguolo, Luca Advances in Theoretical and Mathematical Physics, Vol. 12, Issue 5 https://doi.org/10.4310/atmp.2008.v12.n5.a2	journal	January 2008
Embedding AdS Black Holes in Ten and Eleven Dimensions Cvetic, M.; Duff, M. J.; Hoxha, P. arXiv https://doi.org/10.48550/arxiv.hep-th/9903214	text	January 1999
Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities Benini, Francesco; Tachikawa, Yuji; Wecht, Brian Journal of High Energy Physics, Vol. 2010, Issue 1 https://doi.org/10.1007/JHEP01(2010)088	journal	January 2010
The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points Beem, Christopher; Gadde, Abhijit Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)036	journal	April 2014
Four-dimensional SCFTs from M5-branes Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)005	journal	June 2012
New $ \mathcal{N}=1 $ superconformal field theories in four dimensions Bah, Ibrahima; Wecht, Brian Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)107	journal	July 2013
Punctures from probe M5-branes and N $$ \mathcal{N} $$ = 1 superconformal field theories Bah, Ibrahima; Gabella, Maxime; Halmagyi, Nick Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)131	journal	July 2014
N = 2 dualities Gaiotto, Davide Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)034	journal	August 2012
AdS5 solutions from M5-branes on Riemann surface and D6-branes sources Bah, Ibrahima Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)163	journal	September 2015
The gravity duals of $ \mathcal{N}=2 $ superconformal field theories Gaiotto, Davide; Maldacena, Juan Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)189	journal	October 2012
Holographic Uniformization Anderson, Michael T.; Beem, Christopher; Bobev, Nikolay Communications in Mathematical Physics, Vol. 318, Issue 2 https://doi.org/10.1007/s00220-013-1675-4	journal	February 2013
Liouville Correlation Functions from Four-Dimensional Gauge Theories Alday, Luis F.; Gaiotto, Davide; Tachikawa, Yuji Letters in Mathematical Physics, Vol. 91, Issue 2 https://doi.org/10.1007/s11005-010-0369-5	journal	January 2010
Gauged maximally extended supergravity in seven dimensions Pernici, M.; Pilch, K.; van Nieuwenhuizen, P. Physics Letters B, Vol. 143, Issue 1-3 https://doi.org/10.1016/0370-2693(84)90813-X	journal	August 1984
Black holes and membranes in AdS7 Liu, James T.; Minasian, Ruben Physics Letters B, Vol. 457, Issue 1-3 https://doi.org/10.1016/S0370-2693(99)00500-6	journal	June 1999
Consistent nonlinear KK reduction of 11d supergravity on AdS7×S4 and self-duality in odd dimensions Nastase, Horatiu; Vaman, Diana; Nieuwenhuizen, Peter van Physics Letters B, Vol. 469, Issue 1-4 https://doi.org/10.1016/S0370-2693(99)01266-6	journal	December 1999
Consistency of the AdS7×S4 reduction and the origin of self-duality in odd dimensions Nastase, Horatiu; Vaman, Diana; van Nieuwenhuizen, Peter Nuclear Physics B, Vol. 581, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00193-0	journal	August 2000
Embedding AdS black holes in ten and eleven dimensions Cveticˇ, M.; Duff, M. J.; Hoxha, P. Nuclear Physics B, Vol. 558, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00419-8	journal	October 1999
Five-dimensional supergravity dual of a-maximization Tachikawa, Yuji Nuclear Physics B, Vol. 733, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.11.010	journal	January 2006
Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Physical Review Letters, Vol. 106, Issue 24 https://doi.org/10.1103/PhysRevLett.106.241602	journal	June 2011
Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem Maldacena, Juan; NuÑEz, Carlos International Journal of Modern Physics A, Vol. 16, Issue 05 https://doi.org/10.1142/S0217751X01003937	journal	February 2001
Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles Caporaso, Nicola; Cirafici, Michele; Griguolo, Luca Advances in Theoretical and Mathematical Physics, Vol. 12, Issue 5 https://doi.org/10.4310/ATMP.2008.v12.n5.a2	journal	January 2008
Non-Abelian localization for Chern-Simons theory Beasley, Chris; Witten, Edward Journal of Differential Geometry, Vol. 70, Issue 2 https://doi.org/10.4310/jdg/1143642932	journal	June 2005

Similar Records

Kähler uniformization from holographic renormalization group flows of M5-branes

Journal Article · Thu Aug 09 20:00:00 EDT 2018 · Journal of High Energy Physics (Online) · OSTI ID:1501465

Inverting geometric transitions: Explicit Calabi-Yau metrics for the Maldacena-Nunez solutions

Journal Article · Wed Nov 14 23:00:00 EST 2007 · Physical Review. D, Particles Fields · OSTI ID:21027920

Wrapped M5-branes leading to five dimensional 2-branes

Journal Article · Thu Dec 14 23:00:00 EST 2006 · Physical Review. D, Particles Fields · OSTI ID:20871501

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AdS-CFT Correspondence
M-Theory
Renormalization Group
Supergravity Models

4d $$ \mathcal{N}=1/2d $$ Yang-Mills duality in holography

Citation Formats

References (23)

Similar Records

Related Subjects