Michael Gary
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Previous Organizations / Institutes
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Michael Gary has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Steven B. Giddings
Department of Physics University of California 93106 Santa Barbara CA USA
3 shared publications - João Penedones
Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL)
1 shared publication - Matthew M. Roberts
Department of Physics, University of California, Santa Barbara, U.S.A.
1 shared publication - Richard Eager
University of California
1 shared publication
Latest Publications
- Open Access
Can you hear the shape of dual geometries?
We compute the sub-leading terms in the Tian-Yau-Zelditch asymptotic expansion of the partition function for dual giant gravitons on AdS5 $\times$ L5 and provide a bulk interpretation in terms of curvature invariants. We accomplish this by relating the partition function of dual giant gravitons to the Hilbert series for mesonic operators in the CFT. The coefficients of the subleading terms encode integrated curvature invariants of L5. In the same spirit of Martelli, Sparks and Yau, we are able to compute these integrated curvature invariants without explicit knowledge of the Sasaki-Einstein metric on L5. These curvature invariants contribute to the 1/N^2 corrections of the difference of the 4D anomaly coefficients a and c recently found by Liu and Minasian, which we now have a purely field theoretic method of calculating.Open AccessCan you hear the shape of dual geometries?
We compute the sub-leading terms in the Tian-Yau-Zelditch asymptotic expansion of the partition function for dual giant gravitons on AdS5 $\times$ L5 and provide a bulk interpretation in terms of curvature invariants. We accomplish this by relating the partition function of dual giant gravitons to the Hilbert series for mesonic operators in the CFT. The coefficients of the subleading terms encode integrated curvature invariants of L5. In the same spirit of Martelli, Sparks and Yau, we are able to compute these integrated curvature invariants without explicit knowledge of the Sasaki-Einstein metric on L5. These curvature invariants contribute to the 1/N^2 corrections of the difference of the 4D anomaly coefficients a and c recently found by Liu and Minasian, which we now have a purely field theoretic method of calculating. - 2 October 2009
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (8) , 085005
Local bulk-matrix elements and conformal field theory singularitiesWe give a procedure for deriving certain bulk -matrix elements from corresponding boundary correlators. These are computed in the plane-wave limit, via an explicit construction of certain boundary sources that give bulk wave packets. A critical role is played by a specific singular behavior of the Lorentzian boundary correlators. It is shown in examples how correlators derived from the bulk supergravity exhibit the appropriate singular structure, and reproduce the corresponding -matrix elements. This construction thus provides a nontrivial test for whether a given boundary conformal field theory can reproduce bulk physics, and where it does, supplies a prescription to extract bulk -matrix elements in the plane-wave limit.- 2 October 2009
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (8) , 085005
Local bulk-matrix elements and conformal field theory singularitiesWe give a procedure for deriving certain bulk -matrix elements from corresponding boundary correlators. These are computed in the plane-wave limit, via an explicit construction of certain boundary sources that give bulk wave packets. A critical role is played by a specific singular behavior of the Lorentzian boundary correlators. It is shown in examples how correlators derived from the bulk supergravity exhibit the appropriate singular structure, and reproduce the corresponding -matrix elements. This construction thus provides a nontrivial test for whether a given boundary conformal field theory can reproduce bulk physics, and where it does, supplies a prescription to extract bulk -matrix elements in the plane-wave limit.- 31 August 2009
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (4) , 046008
Flat spacematrix from the AdS/CFT correspondence?We investigate recovery of the bulk matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general matrix elements. Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wave packets and on their localization properties. In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space. When their scattering is compared to that of “sharper” wave packets typically used in scattering theory, one finds apparently significant differences, suggesting a possible lack of resolution via these wave packets. We also give arguments that construction of the sharper wave packets may require nonperturbative control of the boundary theory, and particularly of the matrix degrees of freedom. These observations thus raise interesting questions about what principle would guarantee the appropriate control, and about how a boundary CFT can accurately approximate the flat space matrix.- 31 August 2009
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (4) , 046008
Flat spacematrix from the AdS/CFT correspondence?We investigate recovery of the bulk matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general matrix elements. Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wave packets and on their localization properties. In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space. When their scattering is compared to that of “sharper” wave packets typically used in scattering theory, one finds apparently significant differences, suggesting a possible lack of resolution via these wave packets. We also give arguments that construction of the sharper wave packets may require nonperturbative control of the boundary theory, and particularly of the matrix degrees of freedom. These observations thus raise interesting questions about what principle would guarantee the appropriate control, and about how a boundary CFT can accurately approximate the flat space matrix.- Open Access
The flat space S-matrix from the AdS/CFT correspondence?
We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general S-matrix elements. Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wavepackets and on their localization properties. In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space. When their scattering is compared to that of "sharper" wavepackets typically used in scattering theory, one finds apparently significant differences, suggesting a possible lack of resolution via these wavepackets. We also give arguments that construction of the sharper wavepackets may require non-perturbative control of the boundary theory, and particular of the N^2 matrix degrees of freedom. These observations thus raise interesting questions about what principle would guarantee the appropriate control, and about how a boundary CFT can accurately approximate the flat space S-matrix.
Open AccessThe flat space S-matrix from the AdS/CFT correspondence?
We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general S-matrix elements. Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wavepackets and on their localization properties. In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space. When their scattering is compared to that of "sharper" wavepackets typically used in scattering theory, one finds apparently significant differences, suggesting a possible lack of resolution via these wavepackets. We also give arguments that construction of the sharper wavepackets may require non-perturbative control of the boundary theory, and particular of the N^2 matrix degrees of freedom. These observations thus raise interesting questions about what principle would guarantee the appropriate control, and about how a boundary CFT can accurately approximate the flat space S-matrix.