skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Giant gravitons and the emergence of geometric limits in β-deformations of $$ \mathcal{N}=4 $$ SYM

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1]
  1. Univ. of California, Santa Barbara, CA (United States). Dept. of Physics

We study a one parameter family of supersymmetric marginal deformations of N = 4 SYM with U(1)3 symmetry, known as β-deformations, to understand their dual AdS × X geometry, where X is a large classical geometry in the g YM 2 N → ∞ limit. We argue that we can determine whether or not X is geometric by studying the spectrum of open strings between giant gravitons states, as represented by operators in the field theory, as we take N → ∞ in certain double scaling limits. We study the conditions under which these open strings can give rise to a large number of states with energy far below the string scale. The number-theoretic properties of β are very important. When exp(iβ) is a root of unity, the space X is an orbifold. When exp(iβ) close to a root of unity in a double scaling limit sense, X corresponds to a finite deformation of the orbifold. Lastly, if β is irrational, sporadic light states can be present.

Research Organization:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011702; AC05-06OR23100
OSTI ID:
1455052
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 1; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (46)

Exact correlators of giant gravitons from dual $N = 4$ SYM theory journal January 2001
Deformations of SYM and integrable spin chain models journal December 2004
Dressing the giant magnon journal October 2006
Representation theory of three-dimensional Sklyanin algebras journal July 2012
The su(2|2) Dynamic S-Matrix journal January 2008
Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge journal October 2002
Beauty and the twist: the Bethe ansatz for twisted Script N = 4 SYM journal August 2005
Melvin Models and Diophantine Approximation journal March 2005
The Bethe ansatz for Bbb Z S orbifolds of Script N = 4 super Yang-Mills theory journal November 2005
Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory journal July 1995
Invasion of the giant gravitons from anti-de Sitter space journal May 2000
Giant magnons in TsT-transformed AdS 5 × S 5 journal July 2008
The complete one-loop dilatation operator of planar real β-deformed N $$ \mathcal{N} $$ = 4 SYM theory journal July 2014
Giants and loops in β-deformed theories journal March 2007
Strings in flat space and pp waves from Script N = 4 Super Yang Mills journal April 2002
The Large-N Limit of Superconformal Field Theories and Supergravity journal January 1999
Giant Gravitons in Conformal Field Theory journal April 2002
Non-commutative moduli spaces, dielectric tori and T-duality journal November 2000
New Connections Between String Theories journal October 1989
Open spin chains for giant gravitons and relativity journal August 2013
Reverse geometric engineering of singularities journal April 2002
A toy model for the AdS/CFT correspondence journal July 2004
S-duality and the giant magnon dispersion relation journal June 2014
Lax pair for strings in Lunin-Maldacena background journal May 2005
The Bethe-ansatz for Script N = 4 super Yang-Mills journal March 2003
Review of AdS/CFT Integrability: An Overview journal October 2011
Bubbling AdS space and 1/2 BPS geometries journal October 2004
All loop BMN state energies from matrices journal February 2006
Marginal and relevant deformations of field theories and non-commutative moduli spaces of vacua journal November 2000
Giant gravitons - with strings attached (III) journal February 2008
Shape and holography: studies of dual operators to giant gravitons journal December 2003
Real versus complex β-deformation of the 𝒩 = 4 planar super Yang-Mills theory journal October 2007
Gauge-string duality for superconformal deformations of N = 4 Super Yang-Mills theory journal July 2005
Quantizing Open Spin Chains with Variable Length and Giant Gravitons in the Anti–de Sitter-Space/Conformal Field-Theory Correspondence journal November 2005
A double coset ansatz for integrability in AdS/CFT journal June 2012
Dibaryons, branes, and strings in AdS orbifold models journal December 1998
Dressing the giant magnon II journal March 2007
Deforming field theories with U(1) × U(1) global symmetry and their gravity duals journal May 2005
Twisted magnons journal April 2012
Examples of emergent type IIB backgrounds from matrices journal July 2013
Holography from conformal field theory journal October 2009
Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries journal July 2011
Giants on deformed backgrounds journal December 2006
S-duality of the Leigh-Strassler Deformation via Matrix Models journal December 2002
Discrete torsion, AdS/CFT and duality journal January 2000
The dilatation operator of conformal super-Yang–Mills theory journal August 2003

Cited By (1)

Intersecting branes, Higgs sector, and chirality from N $$ \mathcal{N} $$ = 4 SYM with soft SUSY breaking journal April 2018

Similar Records

Open giant magnons suspended between dual giant gravitons in $$ \mathcal{N} $$ = 4 SYM
Journal Article · Wed Sep 02 00:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1455052

Excited states of open strings from $ \mathcal{N}=4 $ SYM
Journal Article · Wed Dec 09 00:00:00 EST 2015 · Journal of High Energy Physics (Online) · OSTI ID:1455052

Open spin chains for giant gravitons and relativity
Journal Article · Fri Aug 09 00:00:00 EDT 2013 · Journal of High Energy Physics (Online) · OSTI ID:1455052