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 |
|---|---|---|---|---|---|---|---|---|---|
| 1128 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.6766 | 0.8365 | 0.8088 | [X:[], M:[1.0931, 1.0931, 0.9878, 0.7206, 0.9069, 0.9069], q:[0.7733, 0.4008], qb:[0.5061, 0.5061], phi:[0.4534]] | [X:[], M:[[4], [4], [-22], [-12], [-4], [-4]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_3^2$, $ M_4\phi_1q_2^2$ | $M_4q_1\tilde{q}_1$ | -4 | t^2.16 + 3*t^2.72 + t^2.96 + t^3.52 + t^3.77 + t^3.84 + 2*t^4.08 + t^4.32 + 3*t^4.4 + 3*t^4.88 + t^5.13 + 6*t^5.44 + 2*t^5.68 + 2*t^5.93 - 4*t^6. + 4*t^6.24 - 2*t^6.32 + 5*t^6.49 + 3*t^6.56 + t^6.73 + 4*t^6.8 + 3*t^7.04 + 6*t^7.12 + 2*t^7.29 - 2*t^7.36 + t^7.53 + 7*t^7.6 - 4*t^7.68 + 4*t^7.85 + t^7.92 + 2*t^8.09 + 8*t^8.16 + t^8.23 + 4*t^8.4 + 6*t^8.65 - 12*t^8.72 + 5*t^8.79 + 2*t^8.89 + 5*t^8.96 - t^4.36/y - t^6.52/y - t^7.08/y - t^7.32/y + t^7.4/y + t^7.64/y + (3*t^7.88)/y + t^8.13/y + t^8.2/y + (3*t^8.44)/y + (3*t^8.68)/y + t^8.93/y - t^4.36*y - t^6.52*y - t^7.08*y - t^7.32*y + t^7.4*y + t^7.64*y + 3*t^7.88*y + t^8.13*y + t^8.2*y + 3*t^8.44*y + 3*t^8.68*y + t^8.93*y | t^2.16/g1^12 + (3*t^2.72)/g1^4 + t^2.96/g1^22 + t^3.52/g1^14 + t^3.77/g1^32 + g1^12*t^3.84 + (2*t^4.08)/g1^6 + t^4.32/g1^24 + 3*g1^20*t^4.4 + (3*t^4.88)/g1^16 + t^5.13/g1^34 + (6*t^5.44)/g1^8 + (2*t^5.68)/g1^26 + (2*t^5.93)/g1^44 - 4*t^6. + (4*t^6.24)/g1^18 - 2*g1^26*t^6.32 + (5*t^6.49)/g1^36 + 3*g1^8*t^6.56 + t^6.73/g1^54 + (4*t^6.8)/g1^10 + (3*t^7.04)/g1^28 + 6*g1^16*t^7.12 + (2*t^7.29)/g1^46 - (2*t^7.36)/g1^2 + t^7.53/g1^64 + (7*t^7.6)/g1^20 - 4*g1^24*t^7.68 + (4*t^7.85)/g1^38 + g1^6*t^7.92 + (2*t^8.09)/g1^56 + (8*t^8.16)/g1^12 + g1^32*t^8.23 + (4*t^8.4)/g1^30 + (6*t^8.65)/g1^48 - (12*t^8.72)/g1^4 + 5*g1^40*t^8.79 + (2*t^8.89)/g1^66 + (5*t^8.96)/g1^22 - t^4.36/(g1^2*y) - t^6.52/(g1^14*y) - t^7.08/(g1^6*y) - t^7.32/(g1^24*y) + (g1^20*t^7.4)/y + (g1^2*t^7.64)/y + (3*t^7.88)/(g1^16*y) + t^8.13/(g1^34*y) + (g1^10*t^8.2)/y + (3*t^8.44)/(g1^8*y) + (3*t^8.68)/(g1^26*y) + t^8.93/(g1^44*y) - (t^4.36*y)/g1^2 - (t^6.52*y)/g1^14 - (t^7.08*y)/g1^6 - (t^7.32*y)/g1^24 + g1^20*t^7.4*y + g1^2*t^7.64*y + (3*t^7.88*y)/g1^16 + (t^8.13*y)/g1^34 + g1^10*t^8.2*y + (3*t^8.44*y)/g1^8 + (3*t^8.68*y)/g1^26 + (t^8.93*y)/g1^44 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2161 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6967 | 0.8748 | 0.7964 | [X:[], M:[1.0944, 1.0944, 0.9806, 0.7167, 0.9056, 0.9056, 0.7167], q:[0.7736, 0.3959], qb:[0.5097, 0.5097], phi:[0.4528]] | 2*t^2.15 + 3*t^2.72 + t^2.94 + t^3.51 + t^3.73 + 2*t^4.08 + 3*t^4.3 + 3*t^4.42 + 6*t^4.87 + 2*t^5.09 + 6*t^5.43 + 3*t^5.66 + 3*t^5.88 - 5*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 699 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ | 0.6682 | 0.8218 | 0.813 | [X:[], M:[1.0917, 1.0917, 0.9959, 0.725, 0.9083], q:[0.7729, 0.4063], qb:[0.502, 0.502], phi:[0.4542]] | t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. - t^4.36/y - t^4.36*y | detail |