论文标题
't Hooft扩展$（n）$和$ sp（n）$ $ \ Mathcal {n} = 4 $ SYMSIDE
't Hooft expansion of $SO(N)$ and $Sp(N)$ $\mathcal{N}=4$ SYM revisited
论文作者
论文摘要
我们研究了$ d = 4 $ $ $ \ mathcal {n} = 4 $ supersymmetric yang-mills（sym）理论的't Hooft扩展，并使用量规组$ so（n）$或$ sp（n）$。我们考虑$ 1/n_5 $扩展使用固定的$ g_sn_5 $，其中$ g_s $表示在$ ads_5 \ times \ times \ times \ times \ times \ mathbb {rp}^5 $和$ n_5 $ n_5 $ rr 5-fiff rr 5-fiff rr 5 fift y Mathbbbb {rp}^5 $ rp}^5 $}^5 $}^5 $}^5 $}^5 $ a rr 5 $ cod}^5 $}^5 $}^5 $}^5 $中表示批量IIB类型IIB字符串理论的字符串耦合。 $ n_5 $与$ n $不同，因为从RR收取O3平面的转移。例如，我们考虑$ 1/n_5 $的$ \ MATHCAL {n} = 4 $ SYMS $ S^4 $和$ 1/2 $ bps圆形的Wilson Loops的$ 1/n_5 $扩展。我们发现，$ 1/n_5 $扩展比普通的$ 1/n $扩展更“封闭的字符串”。
We study the 't Hooft expansion of $d=4$ $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory with the gauge group $SO(N)$ or $Sp(N)$. We consider the $1/N_5$ expansion with fixed $g_sN_5$, where $g_s$ denotes the string coupling of bulk type IIB string theory on $AdS_5\times\mathbb{RP}^5$ and $N_5$ refers to the RR 5-form flux through $\mathbb{RP}^5$. $N_5$ differs from $N$ due to a shift coming from the RR charge of O3-plane. As an example, we consider the $1/N_5$ expansion of the free energy of $\mathcal{N}=4$ SYM on $S^4$ and the $1/2$ BPS circular Wilson loops in the fundamental representation of $SO(N)$ or $Sp(N)$. We find that the $1/N_5$ expansion is more "closed string like" than the ordinary $1/N$ expansion.
