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 |
|---|---|---|---|---|---|---|---|---|---|
| 4393 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.5841 | 0.7387 | 0.7908 | [X:[], M:[0.7467, 1.137, 0.9794, 0.7055, 1.0206, 1.2945, 0.9794, 0.8218], q:[0.9212, 0.3321], qb:[0.3733, 0.6473], phi:[0.4315]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-14], [-24]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_8$, $ M_3$, $ M_7$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_8$, $ M_1M_8$, $ q_1\tilde{q}_2$, $ M_8^2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ M_7M_8$, $ M_4\phi_1q_2^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_8\phi_1q_2^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.12 + t^2.24 + t^2.47 + 2*t^2.94 + t^3.29 + 2*t^3.41 + t^3.88 + t^4.23 + t^4.36 + t^4.48 + t^4.58 + 2*t^4.71 + t^4.93 + 2*t^5.05 + 2*t^5.18 + 3*t^5.4 + 2*t^5.53 + t^5.65 + t^5.75 + 4*t^5.88 - 2*t^6. + 2*t^6.23 + 4*t^6.35 - t^6.47 + t^6.57 + t^6.6 + 2*t^6.7 + t^6.72 + 3*t^6.82 + t^7.05 + 3*t^7.17 + t^7.29 + t^7.4 + t^7.42 + 3*t^7.52 + 4*t^7.64 + 3*t^7.87 + t^7.89 + 4*t^7.99 + t^8.12 + t^8.22 - 4*t^8.24 + 6*t^8.34 + 3*t^8.69 - t^8.71 + 7*t^8.81 + t^8.84 - 5*t^8.94 + t^8.96 - t^4.29/y - t^6.53/y - t^6.76/y - t^7.23/y + (2*t^7.36)/y + t^7.58/y + t^7.71/y + t^7.83/y + (3*t^8.05)/y + (2*t^8.18)/y + (3*t^8.4)/y + (3*t^8.53)/y + (2*t^8.65)/y + t^8.75/y - t^8.77/y + (3*t^8.88)/y - t^4.29*y - t^6.53*y - t^6.76*y - t^7.23*y + 2*t^7.36*y + t^7.58*y + t^7.71*y + t^7.83*y + 3*t^8.05*y + 2*t^8.18*y + 3*t^8.4*y + 3*t^8.53*y + 2*t^8.65*y + t^8.75*y - t^8.77*y + 3*t^8.88*y | t^2.12/g1^6 + g1^22*t^2.24 + t^2.47/g1^24 + (2*t^2.94)/g1^14 + t^3.29/g1^32 + (2*t^3.41)/g1^4 + g1^6*t^3.88 + t^4.23/g1^12 + g1^16*t^4.36 + g1^44*t^4.48 + t^4.58/g1^30 + (2*t^4.71)/g1^2 + t^4.93/g1^48 + (2*t^5.05)/g1^20 + 2*g1^8*t^5.18 + (3*t^5.4)/g1^38 + (2*t^5.53)/g1^10 + g1^18*t^5.65 + t^5.75/g1^56 + (4*t^5.88)/g1^28 - 2*t^6. + (2*t^6.23)/g1^46 + (4*t^6.35)/g1^18 - g1^10*t^6.47 + t^6.57/g1^64 + g1^38*t^6.6 + (2*t^6.7)/g1^36 + g1^66*t^6.72 + (3*t^6.82)/g1^8 + t^7.05/g1^54 + (3*t^7.17)/g1^26 + g1^2*t^7.29 + t^7.4/g1^72 + g1^30*t^7.42 + (3*t^7.52)/g1^44 + (4*t^7.64)/g1^16 + (3*t^7.87)/g1^62 + g1^40*t^7.89 + (4*t^7.99)/g1^34 + t^8.12/g1^6 + t^8.22/g1^80 - 4*g1^22*t^8.24 + (6*t^8.34)/g1^52 + (3*t^8.69)/g1^70 - g1^32*t^8.71 + (7*t^8.81)/g1^42 + g1^60*t^8.84 - (5*t^8.94)/g1^14 + g1^88*t^8.96 - (g1^2*t^4.29)/y - (g1^24*t^6.53)/y - t^6.76/(g1^22*y) - t^7.23/(g1^12*y) + (2*g1^16*t^7.36)/y + t^7.58/(g1^30*y) + t^7.71/(g1^2*y) + (g1^26*t^7.83)/y + (3*t^8.05)/(g1^20*y) + (2*g1^8*t^8.18)/y + (3*t^8.4)/(g1^38*y) + (3*t^8.53)/(g1^10*y) + (2*g1^18*t^8.65)/y + t^8.75/(g1^56*y) - (g1^46*t^8.77)/y + (3*t^8.88)/(g1^28*y) - g1^2*t^4.29*y - g1^24*t^6.53*y - (t^6.76*y)/g1^22 - (t^7.23*y)/g1^12 + 2*g1^16*t^7.36*y + (t^7.58*y)/g1^30 + (t^7.71*y)/g1^2 + g1^26*t^7.83*y + (3*t^8.05*y)/g1^20 + 2*g1^8*t^8.18*y + (3*t^8.4*y)/g1^38 + (3*t^8.53*y)/g1^10 + 2*g1^18*t^8.65*y + (t^8.75*y)/g1^56 - g1^46*t^8.77*y + (3*t^8.88*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5883 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_9$ | 0.6046 | 0.7777 | 0.7774 | [X:[], M:[0.7487, 1.1366, 0.9781, 0.7049, 1.0219, 1.2951, 0.9781, 0.8196, 0.7049], q:[0.9208, 0.3306], qb:[0.3743, 0.6475], phi:[0.4317]] | 2*t^2.11 + t^2.25 + t^2.46 + 2*t^2.93 + t^3.28 + 2*t^3.41 + 3*t^4.23 + 2*t^4.36 + t^4.49 + 2*t^4.57 + 2*t^4.7 + t^4.92 + 4*t^5.05 + 2*t^5.18 + 4*t^5.39 + 4*t^5.52 + t^5.66 + t^5.74 + 4*t^5.87 - 3*t^6. - t^4.3/y - t^4.3*y | detail | |
| 5880 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.5954 | 0.7561 | 0.7874 | [X:[], M:[0.7067, 1.1442, 1.0048, 0.7164, 0.9952, 1.2836, 1.0048, 0.8654, 0.8461], q:[0.9303, 0.363], qb:[0.3533, 0.6418], phi:[0.4279]] | t^2.12 + t^2.15 + t^2.54 + t^2.6 + 2*t^3.01 + 2*t^3.43 + t^3.85 + t^4.24 + t^4.27 + t^4.3 + t^4.66 + t^4.69 + 2*t^4.72 + t^4.75 + t^5.08 + 3*t^5.13 + 2*t^5.16 + t^5.19 + 3*t^5.55 + t^5.58 + 2*t^5.61 + 2*t^5.97 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2380 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.14 + t^2.15 + 2*t^3. + t^3.42 + 3*t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + t^4.71 + 4*t^5.14 + t^5.56 + 2*t^5.57 + 3*t^5.58 + 2*t^5.99 - 2*t^6. - t^4.29/y - t^4.29*y | detail |