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 |
|---|---|---|---|---|---|---|---|---|---|
| 139 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7953 | 0.8152 | [X:[], M:[0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | [X:[], M:[[-4], [-4]], q:[[1], [1]], qb:[[3], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ M_1q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | 6 | 3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. + 10*t^6.32 + 5*t^6.73 + t^7.05 + 10*t^7.78 + 4*t^8.11 + 15*t^8.43 + t^8.52 + 3*t^8.84 - t^4.05/y - (3*t^6.16)/y + (3*t^7.22)/y + (6*t^7.95)/y - (6*t^8.27)/y - t^4.05*y - 3*t^6.16*y + 3*t^7.22*y + 6*t^7.95*y - 6*t^8.27*y | (3*t^2.11)/g1^4 + g1^6*t^2.84 + 5*g1^4*t^3.89 + (6*t^4.22)/g1^8 + 4*g1^2*t^4.95 + g1^12*t^5.68 + 6*t^6. + (10*t^6.32)/g1^12 + 5*g1^10*t^6.73 + t^7.05/g1^2 + 10*g1^8*t^7.78 + (4*t^8.11)/g1^4 + (15*t^8.43)/g1^16 + g1^18*t^8.52 + 3*g1^6*t^8.84 - t^4.05/(g1^2*y) - (3*t^6.16)/(g1^6*y) + (3*t^7.22)/(g1^8*y) + (6*g1^2*t^7.95)/y - (6*t^8.27)/(g1^10*y) - (t^4.05*y)/g1^2 - (3*t^6.16*y)/g1^6 + (3*t^7.22*y)/g1^8 + 6*g1^2*t^7.95*y - (6*t^8.27*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 231 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6689 | 0.8346 | 0.8015 | [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 85 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*y | detail |