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 |
|---|---|---|---|---|---|---|---|---|---|
| 1190 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6793 | 0.8531 | 0.7963 | [X:[], M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.8049, 0.5128], qb:[0.3657, 0.7558], phi:[0.3902]] | [X:[], M:[[16], [14], [-16], [-16], [-6], [14]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_5M_6$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_6$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_2$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_2^2$ | . | -2 | 2*t^2.19 + t^2.34 + t^2.49 + 2*t^2.64 + t^3.36 + t^3.95 + t^4.25 + 3*t^4.39 + 3*t^4.54 + 4*t^4.68 + 4*t^4.83 + 4*t^4.98 + 2*t^5.12 + 2*t^5.27 + t^5.56 + 2*t^5.71 - 2*t^6. + t^6.15 + t^6.44 + 4*t^6.58 + 3*t^6.59 + 4*t^6.73 + t^6.74 + 9*t^6.88 + 7*t^7.02 + 7*t^7.17 + 7*t^7.32 + 6*t^7.46 + 4*t^7.61 + t^7.75 + t^7.76 + 3*t^7.9 + 2*t^7.91 + t^8.05 - 6*t^8.19 + t^8.2 - 2*t^8.34 - 5*t^8.49 + t^8.5 - 4*t^8.64 + 6*t^8.78 + 5*t^8.92 + 3*t^8.93 - t^4.17/y - (2*t^6.36)/y - t^6.51/y - t^6.66/y - t^6.81/y + t^7.39/y + (3*t^7.54)/y + (3*t^7.68)/y + (6*t^7.83)/y + (4*t^7.98)/y + (2*t^8.12)/y + t^8.27/y - t^8.56/y - t^8.71/y - (2*t^8.85)/y - t^4.17*y - 2*t^6.36*y - t^6.51*y - t^6.66*y - t^6.81*y + t^7.39*y + 3*t^7.54*y + 3*t^7.68*y + 6*t^7.83*y + 4*t^7.98*y + 2*t^8.12*y + t^8.27*y - t^8.56*y - t^8.71*y - 2*t^8.85*y | 2*g1^14*t^2.19 + g1^4*t^2.34 + t^2.49/g1^6 + (2*t^2.64)/g1^16 + g1^16*t^3.36 + t^3.95/g1^24 + t^4.25/g1^44 + 3*g1^28*t^4.39 + 3*g1^18*t^4.54 + 4*g1^8*t^4.68 + (4*t^4.83)/g1^2 + (4*t^4.98)/g1^12 + (2*t^5.12)/g1^22 + (2*t^5.27)/g1^32 + g1^30*t^5.56 + 2*g1^20*t^5.71 - 2*t^6. + t^6.15/g1^10 + t^6.44/g1^30 + 4*g1^42*t^6.58 + (3*t^6.59)/g1^40 + 4*g1^32*t^6.73 + t^6.74/g1^50 + (2*t^6.88)/g1^60 + 7*g1^22*t^6.88 + 7*g1^12*t^7.02 + 7*g1^2*t^7.17 + (7*t^7.32)/g1^8 + (6*t^7.46)/g1^18 + (4*t^7.61)/g1^28 + g1^44*t^7.75 + t^7.76/g1^38 + 3*g1^34*t^7.9 + (2*t^7.91)/g1^48 + g1^24*t^8.05 - 6*g1^14*t^8.19 + t^8.2/g1^68 - 2*g1^4*t^8.34 - (5*t^8.49)/g1^6 + t^8.5/g1^88 - (4*t^8.64)/g1^16 + t^8.78/g1^26 + 5*g1^56*t^8.78 + 5*g1^46*t^8.92 + (3*t^8.93)/g1^36 - (g1^2*t^4.17)/y - (2*g1^16*t^6.36)/y - (g1^6*t^6.51)/y - t^6.66/(g1^4*y) - t^6.81/(g1^14*y) + (g1^28*t^7.39)/y + (3*g1^18*t^7.54)/y + (3*g1^8*t^7.68)/y + (6*t^7.83)/(g1^2*y) + (4*t^7.98)/(g1^12*y) + (2*t^8.12)/(g1^22*y) + t^8.27/(g1^32*y) - (g1^30*t^8.56)/y - (g1^20*t^8.71)/y - (2*g1^10*t^8.85)/y - g1^2*t^4.17*y - 2*g1^16*t^6.36*y - g1^6*t^6.51*y - (t^6.66*y)/g1^4 - (t^6.81*y)/g1^14 + g1^28*t^7.39*y + 3*g1^18*t^7.54*y + 3*g1^8*t^7.68*y + (6*t^7.83*y)/g1^2 + (4*t^7.98*y)/g1^12 + (2*t^8.12*y)/g1^22 + (t^8.27*y)/g1^32 - g1^30*t^8.56*y - g1^20*t^8.71*y - 2*g1^10*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 2215 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_7$ | 0.6691 | 0.8361 | 0.8003 | [X:[], M:[1.1045, 0.7165, 0.8955, 0.8955, 0.8358, 0.7165, 1.1045], q:[0.806, 0.5372], qb:[0.3582, 0.7463], phi:[0.3881]] | 2*t^2.15 + t^2.33 + t^2.51 + t^2.69 + 2*t^3.31 + t^4.03 + 3*t^4.3 + t^4.39 + 3*t^4.48 + 4*t^4.66 + 2*t^4.84 + 3*t^5.01 + t^5.19 + 3*t^5.46 + 3*t^5.64 + t^5.82 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 724 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6596 | 0.817 | 0.8073 | [X:[], M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], phi:[0.3909]] | t^2.21 + t^2.35 + t^2.48 + 2*t^2.62 + t^3.38 + t^3.79 + t^3.93 + t^4.2 + t^4.42 + 2*t^4.56 + 3*t^4.69 + 2*t^4.83 + 4*t^4.96 + 2*t^5.1 + 2*t^5.23 + 2*t^5.73 - t^6. - t^4.17/y - t^4.17*y | detail |