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 |
|---|---|---|---|---|---|---|---|---|---|
| 203 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | [X:[], M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ q_2\tilde{q}_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_3M_4$, $ M_1M_4$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | -4 | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. + 9*t^7.14 + 15*t^7.22 + 10*t^7.3 + 15*t^8.35 - 14*t^8.43 - t^4.22/y - (3*t^6.65)/y + (3*t^7.78)/y + (3*t^7.86)/y - t^4.22*y - 3*t^6.65*y + 3*t^7.78*y + 3*t^7.86*y | t^2.43/(g1*g3^2) + (g1*t^2.43)/(g2^4*g3^2) + t^2.43/(g2^2*g3^2) + g1*g2^2*t^3.57 + 2*g2^2*g3^2*t^3.57 + (g2^2*g3^4*t^3.57)/g1 + (g1^2*t^4.78)/(g2*g3) + (g1*g2*t^4.78)/g3 + (g2^3*t^4.78)/g3 + (g1*g3*t^4.78)/g2 + 2*g2*g3*t^4.78 + (g2^3*g3*t^4.78)/g1 + (g3^3*t^4.78)/g2 + (g2*g3^3*t^4.78)/g1 + (g2^3*g3^3*t^4.78)/g1^2 + t^4.86/(g1^2*g3^4) + (g1^2*t^4.86)/(g2^8*g3^4) + (g1*t^4.86)/(g2^6*g3^4) + (2*t^4.86)/(g2^4*g3^4) + t^4.86/(g1*g2^2*g3^4) - 2*t^6. - (g1*t^6.)/g3^2 - (g3^2*t^6.)/g1 + g1^2*g2^4*t^7.14 + 2*g1*g2^4*g3^2*t^7.14 + 3*g2^4*g3^4*t^7.14 + (2*g2^4*g3^6*t^7.14)/g1 + (g2^4*g3^8*t^7.14)/g1^2 + (g1^3*t^7.22)/(g2^5*g3^3) + (g1^2*t^7.22)/(g2^3*g3^3) + (g1*t^7.22)/(g2*g3^3) + (g2*t^7.22)/g3^3 + (g2^3*t^7.22)/(g1*g3^3) + (g1^2*t^7.22)/(g2^5*g3) + (g1*t^7.22)/(g2^3*g3) + t^7.22/(g2*g3) + (g2*t^7.22)/(g1*g3) + (g2^3*t^7.22)/(g1^2*g3) + (g1*g3*t^7.22)/g2^5 + (g3*t^7.22)/g2^3 + (g3*t^7.22)/(g1*g2) + (g2*g3*t^7.22)/g1^2 + (g2^3*g3*t^7.22)/g1^3 + t^7.3/(g1^3*g3^6) + (g1^3*t^7.3)/(g2^12*g3^6) + (g1^2*t^7.3)/(g2^10*g3^6) + (2*g1*t^7.3)/(g2^8*g3^6) + (2*t^7.3)/(g2^6*g3^6) + (2*t^7.3)/(g1*g2^4*g3^6) + t^7.3/(g1^2*g2^2*g3^6) + (g1^3*g2*t^8.35)/g3 + (g1^2*g2^3*t^8.35)/g3 + (g1*g2^5*t^8.35)/g3 + g1^2*g2*g3*t^8.35 + g1*g2^3*g3*t^8.35 + g2^5*g3*t^8.35 + g1*g2*g3^3*t^8.35 + g2^3*g3^3*t^8.35 + (g2^5*g3^3*t^8.35)/g1 + g2*g3^5*t^8.35 + (g2^3*g3^5*t^8.35)/g1 + (g2^5*g3^5*t^8.35)/g1^2 + (g2*g3^7*t^8.35)/g1 + (g2^3*g3^7*t^8.35)/g1^2 + (g2^5*g3^7*t^8.35)/g1^3 - t^8.43/g1^2 - t^8.43/g2^4 - t^8.43/(g1*g2^2) - t^8.43/g3^4 - (g1^2*t^8.43)/(g2^4*g3^4) - (g1*t^8.43)/(g2^2*g3^4) - (3*t^8.43)/(g1*g3^2) - (3*g1*t^8.43)/(g2^4*g3^2) - (2*t^8.43)/(g2^2*g3^2) - t^4.22/(g2*g3*y) - (g1*t^6.65)/(g2^5*g3^3*y) - t^6.65/(g2^3*g3^3*y) - t^6.65/(g1*g2*g3^3*y) + (g1*g3*t^7.78)/(g2*y) + (g2*g3*t^7.78)/y + (g2^3*g3*t^7.78)/(g1*y) + (g1*t^7.86)/(g2^6*g3^4*y) + t^7.86/(g2^4*g3^4*y) + t^7.86/(g1*g2^2*g3^4*y) - (t^4.22*y)/(g2*g3) - (g1*t^6.65*y)/(g2^5*g3^3) - (t^6.65*y)/(g2^3*g3^3) - (t^6.65*y)/(g1*g2*g3^3) + (g1*g3*t^7.78*y)/g2 + g2*g3*t^7.78*y + (g2^3*g3*t^7.78*y)/g1 + (g1*t^7.86*y)/(g2^6*g3^4) + (t^7.86*y)/(g2^4*g3^4) + (t^7.86*y)/(g1*g2^2*g3^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 319 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ | 0.7036 | 0.8583 | 0.8198 | [X:[], M:[0.9501, 1.0499, 0.8504, 1.0499], q:[0.5748, 0.4751], qb:[0.5748, 0.4751], phi:[0.4751]] | t^2.55 + t^2.85 + 5*t^3.15 + 3*t^4.28 + 4*t^4.57 + 3*t^4.87 + t^5.1 + t^5.4 + 2*t^5.7 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 318 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ | 0.7184 | 0.8712 | 0.8246 | [X:[], M:[0.891, 1.109, 1.0, 0.7821], q:[0.5, 0.609], qb:[0.5, 0.609], phi:[0.4455]] | t^2.35 + t^2.67 + t^3. + 4*t^3.33 + 3*t^4.34 + 4*t^4.66 + t^4.69 + 3*t^4.99 + t^5.02 + 2*t^5.35 + t^5.67 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 320 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55781 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_3$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 1.0, 1.0], qb:[0.5946, 0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 124 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.8416, 1.1584, 0.7995], q:[0.6003, 0.5581], qb:[0.6003, 0.5581], phi:[0.4208]] | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y | detail |