Conformal anomaly of submanifold observables in AdS/CFT correspondence

C. Robin Graham; Edward Witten

doi:10.1016/s0550-3213(99)00055-3

Conformal anomaly of submanifold observables in AdS/CFT correspondence

C. Robin Graham, Edward Witten

Research output: Contribution to journal › Article › peer-review

242 Scopus citations

Abstract

We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting observables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for k = 2.

Original language	English (US)
Pages (from-to)	52-64
Number of pages	13
Journal	Nuclear Physics B
Volume	546
Issue number	1-2
DOIs	https://doi.org/10.1016/s0550-3213(99)00055-3
State	Published - Apr 26 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/s0550-3213(99)00055-3

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title = "Conformal anomaly of submanifold observables in AdS/CFT correspondence",

abstract = "We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting observables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for k = 2.",

author = "Graham, \{C. Robin\} and Edward Witten",

note = "Funding Information: * This research was partially supported by NSF Grant PHY-9513835. I E-mail: [email protected] 2 E-mail: [email protected] 0550-3213/99/\$ - see frontmatter (\textasciitilde{}) 1999 Elsevier Science B.V. All rights reserved. PH S0550-3213(99)00055-3",

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T1 - Conformal anomaly of submanifold observables in AdS/CFT correspondence

AU - Graham, C. Robin

AU - Witten, Edward

N1 - Funding Information: * This research was partially supported by NSF Grant PHY-9513835. I E-mail: [email protected] 2 E-mail: [email protected] 0550-3213/99/$ - see frontmatter (~) 1999 Elsevier Science B.V. All rights reserved. PH S0550-3213(99)00055-3

PY - 1999/4/26

Y1 - 1999/4/26

N2 - We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting observables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for k = 2.

AB - We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting observables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for k = 2.

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U2 - 10.1016/s0550-3213(99)00055-3

DO - 10.1016/s0550-3213(99)00055-3

M3 - Article

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VL - 546

SP - 52

EP - 64

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Conformal anomaly of submanifold observables in AdS/CFT correspondence

Abstract

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