Code subspaces for LLM geometries

Berenstein, David; Miller, Alexandra

doi:10.1088/1361-6382/aaa623

Title: Code subspaces for LLM geometries

Abstract

We consider here effective field theory around classical background geometries with a gauge theory dual, in the class of LLM geometries. These are dual to half-BPS states of N= 4 SYM. We find that the language of code subspaces is natural for discussing the set of nearby states, which are built by acting with effective fields on these backgrounds. Our work extends our previous work by going beyond the strict infinite N limit. We further discuss how one can extract the topology of the state beyond N→∞ and find that uncertainty and entanglement entropy calculations still provide a useful tool to do so. Finally, we discuss obstructions to writing down a globally defined metric operator. We find that the answer depends on the choice of reference state that one starts with. Thus there is ambiguity in trying to write an operator that describes the metric globally.

Authors:

^[1];

^[1]

Univ. of California, Santa Barbara, CA (United States)

Publication Date:: Thu Mar 22 00:00:00 EDT 2018

Research Org.:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1602766

Grant/Contract Number:: SC0011702

Resource Type:: Accepted Manuscript

Journal Name:: Classical and Quantum Gravity

Additional Journal Information:: Journal Volume: 35; Journal Issue: 6; Journal ID: ISSN 0264-9381

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; half BPS solutions; minisuperspace quantization; LLM geometries; effective quantum gravity; code subspaces

Citation Formats


                    Berenstein, David, and Miller, Alexandra. Code subspaces for LLM geometries.  United States: N. p., 2018. 
Web.  doi:10.1088/1361-6382/aaa623.

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                    Berenstein, David, & Miller, Alexandra. Code subspaces for LLM geometries.  United States.  https://doi.org/10.1088/1361-6382/aaa623

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                    Berenstein, David, and Miller, Alexandra. Thu .  
"Code subspaces for LLM geometries".  United States.  https://doi.org/10.1088/1361-6382/aaa623.  https://www.osti.gov/servlets/purl/1602766.

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@article{osti_1602766,

  title        = {Code subspaces for LLM geometries},

  author       = {Berenstein, David and Miller, Alexandra},

  abstractNote = {We consider here effective field theory around classical background geometries with a gauge theory dual, in the class of LLM geometries. These are dual to half-BPS states of N= 4 SYM. We find that the language of code subspaces is natural for discussing the set of nearby states, which are built by acting with effective fields on these backgrounds. Our work extends our previous work by going beyond the strict infinite N limit. We further discuss how one can extract the topology of the state beyond N→∞ and find that uncertainty and entanglement entropy calculations still provide a useful tool to do so. Finally, we discuss obstructions to writing down a globally defined metric operator. We find that the answer depends on the choice of reference state that one starts with. Thus there is ambiguity in trying to write an operator that describes the metric globally.},

  doi          = {10.1088/1361-6382/aaa623},

  journal      = {Classical and Quantum Gravity},

  number       = 6,

  volume       = 35,

  place        = {United States},

  year         = {Thu Mar 22 00:00:00 EDT 2018},

  month        = {Thu Mar 22 00:00:00 EDT 2018}

}

Copy to clipboard

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Works referencing / citing this record:

Exciting LLM geometries
journal, July 2018

de Mello Koch, Robert; Huang, Jia-Hui; Tribelhorn, Laila
Journal of High Energy Physics, Vol. 2018, Issue 7
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Emergent classical spacetime from microstates of an incipient black hole
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Exciting LLM Geometries
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Balasubramanian, Vijay; Berenstein, David; Lewkowycz, Aitor
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Title: Code subspaces for LLM geometries

Abstract

Citation Formats

Exact correlators of giant gravitons from dual $N = 4$ SYM theory journal, January 2001

On classification of the bubbling geometries journal, April 2006

Invasion of the giant gravitons from anti-de Sitter space journal, May 2000

The equivalence between the Mandelstam and the Cayley–Hamilton identities journal, April 1994

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Gauge theory correlators from non-critical string theory journal, May 1998

Schwarzschild Black Holes from Matrix Theory journal, January 1998

State-dependent bulk-boundary maps and black hole complementarity journal, April 2014

From gravitons to giants journal, March 2006

A toy model for the AdS/CFT correspondence journal, July 2004

Bubbling AdS space and 1/2 BPS geometries journal, October 2004

Geometry quantization from supergravity: the case of ``bubbling AdS'' journal, August 2005

Superposition induced topology changes in quantum gravity journal, November 2017

An infalling observer in AdS/CFT journal, October 2013

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

Bulk locality and quantum error correction in AdS/CFT journal, April 2015

Remarks on the necessity and implications of state-dependence in the black hole interior journal, April 2016

Anti de Sitter space and holography journal, January 1998

Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality journal, April 2006

Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Corrections journal, October 2015

Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence journal, June 2015

The large N limit of superconformal field theories and supergravity conference, January 1999

AdS 3 black holes and a stringy exclusion principle journal, December 1998

Entanglement shadows in LLM geometries journal, November 2017

Giant gravitons: A collective coordinate approach journal, June 2013

An Infalling Observer in AdS/CFT text, January 2012

Superposition induced topology changes in quantum gravity text, January 2017

Geometry Quantization from Supergravity: the case of "Bubbling AdS" text, January 2005

Schwarzschild Black Holes from Matrix Theory text, January 1997

The Large N Limit of Superconformal Field Theories and Supergravity text, January 1997

Gauge Theory Correlators from Non-Critical String Theory text, January 1998

Anti De Sitter Space And Holography text, January 1998

AdS3 Black Holes and a Stringy Exclusion Principle text, January 1998

Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity? journal, June 2017

An Infalling Observer in AdS/CFT text, January 2012

Detecting topology change via correlations and entanglement from gauge/gravity correspondence text, January 2017

A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings text, January 2002

Exciting LLM geometries journal, July 2018

Emergent classical spacetime from microstates of an incipient black hole journal, January 2019

Exciting LLM Geometries text, January 2018

Emergent classical spacetime from microstates of an incipient black hole text, January 2018

Exact correlators of giant gravitons from dual $N = 4$ SYM theory
journal, January 2001

On classification of the bubbling geometries
journal, April 2006

Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000

The equivalence between the Mandelstam and the Cayley–Hamilton identities
journal, April 1994

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Gauge theory correlators from non-critical string theory
journal, May 1998

Schwarzschild Black Holes from Matrix Theory
journal, January 1998

State-dependent bulk-boundary maps and black hole complementarity
journal, April 2014

From gravitons to giants
journal, March 2006

A toy model for the AdS/CFT correspondence
journal, July 2004

Bubbling AdS space and 1/2 BPS geometries
journal, October 2004

Geometry quantization from supergravity: the case of ``bubbling AdS''
journal, August 2005

Superposition induced topology changes in quantum gravity
journal, November 2017

An infalling observer in AdS/CFT
journal, October 2013

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

Remarks on the necessity and implications of state-dependence in the black hole interior
journal, April 2016

Anti de Sitter space and holography
journal, January 1998

Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality
journal, April 2006

Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Corrections
journal, October 2015

Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
journal, June 2015

The large N limit of superconformal field theories and supergravity
conference, January 1999

AdS ₃ black holes and a stringy exclusion principle
journal, December 1998

Entanglement shadows in LLM geometries
journal, November 2017

Giant gravitons: A collective coordinate approach
journal, June 2013

An Infalling Observer in AdS/CFT
text, January 2012

Superposition induced topology changes in quantum gravity
text, January 2017

Geometry Quantization from Supergravity: the case of "Bubbling AdS"
text, January 2005

Schwarzschild Black Holes from Matrix Theory
text, January 1997

The Large N Limit of Superconformal Field Theories and Supergravity
text, January 1997

Gauge Theory Correlators from Non-Critical String Theory
text, January 1998

Anti De Sitter Space And Holography
text, January 1998

AdS3 Black Holes and a Stringy Exclusion Principle
text, January 1998

Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?
journal, June 2017

An Infalling Observer in AdS/CFT
text, January 2012

Detecting topology change via correlations and entanglement from gauge/gravity correspondence
text, January 2017

A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
text, January 2002

Exciting LLM geometries
journal, July 2018

Emergent classical spacetime from microstates of an incipient black hole
journal, January 2019

Exciting LLM Geometries
text, January 2018

Emergent classical spacetime from microstates of an incipient black hole
text, January 2018