Schur polynomials and giant graviton
We use the duality between Schur polynomials and half BPS operators in order to diagonalize the one loop dilatation operator studied in [1] and [2]. This problem has been studied for operators with R-charge of O(1) and O(√N), corresponding to Kaluza-Klein gravitons and strings respectively. Due...
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2010
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| Online Access: | http://hdl.handle.net/10539/8626 |
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ndltd-netd.ac.za-oai-union.ndltd.org-wits-oai-wiredspace.wits.ac.za-10539-86262019-05-11T03:42:07Z Schur polynomials and giant graviton Park, Nicholas Joseph We use the duality between Schur polynomials and half BPS operators in order to diagonalize the one loop dilatation operator studied in [1] and [2]. This problem has been studied for operators with R-charge of O(1) and O(√N), corresponding to Kaluza-Klein gravitons and strings respectively. Due to the complexity of the problem, there has been no prior attempt to study the problem with R-charge of O(N) corresponding to D-branes solutions. In this work we study a large N limit where a particular sector decouples. This sector corresponds to two nearly maximal spherical giant gravitons. 2010-09-08T06:10:01Z 2010-09-08T06:10:01Z 2010-09-08 Thesis http://hdl.handle.net/10539/8626 en application/pdf |
| collection |
NDLTD |
| language |
en |
| format |
Others
|
| sources |
NDLTD |
| description |
We use the duality between Schur polynomials and half BPS operators in
order to diagonalize the one loop dilatation operator studied in [1] and [2].
This problem has been studied for operators with R-charge of O(1) and
O(√N), corresponding to Kaluza-Klein gravitons and strings respectively.
Due to the complexity of the problem, there has been no prior attempt
to study the problem with R-charge of O(N) corresponding to D-branes
solutions. In this work we study a large N limit where a particular sector
decouples. This sector corresponds to two nearly maximal spherical giant
gravitons. |
| author |
Park, Nicholas Joseph |
| spellingShingle |
Park, Nicholas Joseph Schur polynomials and giant graviton |
| author_facet |
Park, Nicholas Joseph |
| author_sort |
Park, Nicholas Joseph |
| title |
Schur polynomials and giant graviton |
| title_short |
Schur polynomials and giant graviton |
| title_full |
Schur polynomials and giant graviton |
| title_fullStr |
Schur polynomials and giant graviton |
| title_full_unstemmed |
Schur polynomials and giant graviton |
| title_sort |
schur polynomials and giant graviton |
| publishDate |
2010 |
| url |
http://hdl.handle.net/10539/8626 |
| work_keys_str_mv |
AT parknicholasjoseph schurpolynomialsandgiantgraviton |
| _version_ |
1719085252904747008 |