Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | [X:[[12]], M:[[-12], [4], [6], [-24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. + 2*t^6.09 + t^6.18 + 2*t^6.36 + t^6.54 + t^6.77 + t^6.86 + 3*t^7.04 + t^7.13 + 4*t^7.31 + t^7.4 + t^7.49 + 2*t^7.58 + t^7.67 + 2*t^7.85 + t^7.99 + t^8.08 + t^8.17 + 2*t^8.26 - t^8.35 + t^8.53 - t^8.62 + 2*t^8.8 + t^8.98 - t^4.22/y - t^6.56/y - t^6.83/y + t^7.6/y + t^7.78/y + t^7.87/y + t^7.96/y + t^8.05/y + t^8.73/y + (2*t^8.82)/y + t^8.91/y - t^4.22*y - t^6.56*y - t^6.83*y + t^7.6*y + t^7.78*y + t^7.87*y + t^7.96*y + t^8.05*y + t^8.73*y + 2*t^8.82*y + t^8.91*y | g1^6*t^2.35 + t^2.44/g1^4 + t^2.62/g1^24 + g1^24*t^3.38 + g1^14*t^3.47 + g1^4*t^3.56 + t^3.65/g1^6 + t^3.74/g1^16 + t^3.92/g1^36 + g1^22*t^4.6 + 2*g1^12*t^4.69 + (2*t^4.87)/g1^8 + t^4.96/g1^18 + t^5.23/g1^48 + 3*g1^20*t^5.82 + g1^10*t^5.91 - t^6. + (2*t^6.09)/g1^10 + t^6.18/g1^20 + (2*t^6.36)/g1^40 + t^6.54/g1^60 + g1^48*t^6.77 + g1^38*t^6.86 + 3*g1^18*t^7.04 + g1^8*t^7.13 + (4*t^7.31)/g1^12 + t^7.4/g1^22 + t^7.49/g1^32 + (2*t^7.58)/g1^42 + t^7.67/g1^52 + (2*t^7.85)/g1^72 + g1^46*t^7.99 + g1^36*t^8.08 + g1^26*t^8.17 + 2*g1^16*t^8.26 - g1^6*t^8.35 + t^8.53/g1^14 - t^8.62/g1^24 + (2*t^8.8)/g1^44 + t^8.98/g1^64 - t^4.22/(g1^2*y) - (g1^4*t^6.56)/y - t^6.83/(g1^26*y) + (g1^22*t^7.6)/y + (g1^2*t^7.78)/y + t^7.87/(g1^8*y) + t^7.96/(g1^18*y) + t^8.05/(g1^28*y) + (g1^30*t^8.73)/y + (2*g1^20*t^8.82)/y + (g1^10*t^8.91)/y - (t^4.22*y)/g1^2 - g1^4*t^6.56*y - (t^6.83*y)/g1^26 + g1^22*t^7.6*y + g1^2*t^7.78*y + (t^7.87*y)/g1^8 + (t^7.96*y)/g1^18 + (t^8.05*y)/g1^28 + g1^30*t^8.73*y + 2*g1^20*t^8.82*y + g1^10*t^8.91*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 861 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_3$ | 0.6135 | 0.751 | 0.8169 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.8], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, X1: 8/5, M1: 2/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 862 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | t^2.35 + 2*t^2.43 + t^2.6 + t^3.4 + t^3.48 + t^3.65 + t^3.73 + t^3.9 + t^4.62 + 2*t^4.7 + t^4.78 + 4*t^4.87 + t^4.95 + t^5.03 + t^5.2 + 4*t^5.83 + t^5.92 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 863 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.76 + t^3.95 + t^4.58 + 4*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.98 + t^5.27 + t^5.71 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 864 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | t^2.05 + t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.66 + t^3.76 + t^4.09 + t^4.39 + t^4.49 + t^4.58 + 3*t^4.68 + 2*t^4.88 + t^4.98 + t^5.27 + t^5.41 + t^5.51 + t^5.61 + t^5.71 + 4*t^5.8 + t^5.9 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1916 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_1$ | 0.6379 | 0.7905 | 0.8069 | [X:[1.5576], M:[0.4424, 1.1859, 0.7788, 0.8848, 0.7434], q:[0.7965, 0.7611], qb:[0.4601, 0.354], phi:[0.4071]] | t^2.23 + t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.56 + t^3.66 + t^3.98 + t^4.46 + 2*t^4.57 + 3*t^4.67 + 3*t^4.88 + t^4.99 + t^5.31 + t^5.58 + t^5.68 + 4*t^5.79 + 2*t^5.89 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1915 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | t^2.36 + t^2.43 + t^2.49 + t^2.55 + t^3.45 + t^3.57 + t^3.64 + t^3.7 + t^3.83 + t^4.66 + 2*t^4.72 + 3*t^4.85 + 2*t^4.92 + t^4.98 + t^5.05 + t^5.11 + 2*t^5.87 + t^5.94 - t^6. - t^4.21/y - t^4.21*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 348 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |