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SUSY and Goliath

Marcus T. Grisaru, Robert C. Myers, Oyvind Tafjord

TL;DR

The paper demonstrates that giant gravitons, whether expanding into the S^n sphere or into AdS space, are BPS configurations preserving the same supersymmetries as point-like gravitons. It identifies a dual class of giants expanding into AdS and analyzes explicit instanton transitions between these states, offering a potential mechanism for the stringy exclusion principle within this expanded spectrum. Across AdS_m × S^n backgrounds (M-theory and Type IIb), the authors show that all graviton-like configurations share identical energy/momentum relations and SUSY projections, supporting a unified graviton picture. The discussion then explores how a limited angular-momentum regime might enforce SUSY breaking or state mixing, potentially realizing the exclusion principle through nonperturbative effects. Overall, the work extends the giant graviton framework and probes its implications for holography and the structure of graviton states in AdS/CFT.

Abstract

We investigate the `giant gravitons' of McGreevy, Susskind and Toumbas [hep-th/0003075]. We demonstrate that these are BPS configurations which preserve precisely the same supersymmetries as a `point-like' graviton. We also show that there exist `dual' giant gravitons consisting of spherical branes expanding into the AdS component of the spacetime. Finally, we discuss the realization of the stringy exclusion principle within this expanded framework.

SUSY and Goliath

TL;DR

The paper demonstrates that giant gravitons, whether expanding into the S^n sphere or into AdS space, are BPS configurations preserving the same supersymmetries as point-like gravitons. It identifies a dual class of giants expanding into AdS and analyzes explicit instanton transitions between these states, offering a potential mechanism for the stringy exclusion principle within this expanded spectrum. Across AdS_m × S^n backgrounds (M-theory and Type IIb), the authors show that all graviton-like configurations share identical energy/momentum relations and SUSY projections, supporting a unified graviton picture. The discussion then explores how a limited angular-momentum regime might enforce SUSY breaking or state mixing, potentially realizing the exclusion principle through nonperturbative effects. Overall, the work extends the giant graviton framework and probes its implications for holography and the structure of graviton states in AdS/CFT.

Abstract

We investigate the `giant gravitons' of McGreevy, Susskind and Toumbas [hep-th/0003075]. We demonstrate that these are BPS configurations which preserve precisely the same supersymmetries as a `point-like' graviton. We also show that there exist `dual' giant gravitons consisting of spherical branes expanding into the AdS component of the spacetime. Finally, we discuss the realization of the stringy exclusion principle within this expanded framework.

Paper Structure

This paper contains 15 sections, 87 equations, 6 figures.

Table of Contents

  1. Introduction
  2. Expanding Branes
  3. Giant Gravitons Revisited
  4. Giant Gravitons in AdS
  5. Instanton Transitions
  6. SUSY versus Goliath
  7. Supersymmetry for Giants
  8. Supersymmetry for 'Dual' Giants
  9. Gravitons on ${\rm AdS}_4\times{\rm S}^7$
  10. Giant Gravitons in ${\rm S}^7$
  11. Giant Gravitons in ${\rm AdS}_4$
  12. Gravitons on ${\rm AdS}_5\times {\rm S}^5$
  13. Giant gravitons in ${\rm S}^5$
  14. Giant gravitons in ${\rm AdS}_5$
  15. Discussion

Figures (6)

  • Figure 1: Energy of expanded $(n{-}2)$-brane, $n$ even, as a function of its radius. For $p=P_\phi/N\le 1$ (left figure) there are two degenerate minima. For $p>1$ the second minimum acquires higher energy and eventually disappears completely.
  • Figure 2: Energy of expanded $(n{-}2)$-brane, $n$ odd, as a function of its radius. Same behavior as for $n$ even, except that the potential is symmetrical.
  • Figure 3: Energy of an $(m{-}2)$-brane expanding into AdS$_m$ as a function of its radius.
  • Figure 4: Instanton transition from the expanded $(n{-}2)$-brane on ${\rm S}^n$ to the collapsed one (plot made for $m=4$).
  • Figure 5: Instanton transition from the expanded $(m{-}2)$-brane on AdS$_m$ to the collapsed one (plot made for $m=7,\ {\tilde{p}}=1$).
  • ...and 1 more figures