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 |
|---|---|---|---|---|---|---|---|---|---|
| 1773 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ | 0.6384 | 0.7923 | 0.8057 | [X:[], M:[0.7685, 0.8473, 0.6897, 1.1527], q:[0.7685, 0.463], qb:[0.3842, 0.8473], phi:[0.3842]] | [X:[], M:[[-2], [3], [-7], [-3]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.07 + 2*t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.69 + t^3.93 + t^4.14 + 2*t^4.37 + 4*t^4.61 + 3*t^4.85 + t^5.08 + 2*t^5.53 + 4*t^5.76 + 2*t^6. + t^6.21 + 2*t^6.24 + 2*t^6.44 + t^6.47 + 4*t^6.68 + 8*t^6.92 + 4*t^7.15 + t^7.39 + 2*t^7.6 + t^7.63 + 4*t^7.83 + t^7.86 + 4*t^8.07 + t^8.28 + t^8.31 + 2*t^8.51 - t^8.54 + 4*t^8.75 + t^8.78 + 8*t^8.99 - t^4.15/y - t^6.22/y - (2*t^6.46)/y + (2*t^7.37)/y + (2*t^7.61)/y + (4*t^7.85)/y + t^8.08/y - t^8.29/y + (3*t^8.76)/y - t^4.15*y - t^6.22*y - 2*t^6.46*y + 2*t^7.37*y + 2*t^7.61*y + 4*t^7.85*y + t^8.08*y - t^8.29*y + 3*t^8.76*y | t^2.07/g1^7 + (2*t^2.31)/g1^2 + g1^3*t^2.54 + (2*t^3.46)/g1^3 + 2*g1^2*t^3.69 + g1^7*t^3.93 + t^4.14/g1^14 + (2*t^4.37)/g1^9 + (4*t^4.61)/g1^4 + 3*g1*t^4.85 + g1^6*t^5.08 + (2*t^5.53)/g1^10 + (4*t^5.76)/g1^5 + 2*t^6. + t^6.21/g1^21 + 2*g1^5*t^6.24 + (2*t^6.44)/g1^16 + g1^10*t^6.47 + (4*t^6.68)/g1^11 + (8*t^6.92)/g1^6 + (4*t^7.15)/g1 + g1^4*t^7.39 + (2*t^7.6)/g1^17 + g1^9*t^7.63 + (4*t^7.83)/g1^12 + g1^14*t^7.86 + (4*t^8.07)/g1^7 + t^8.28/g1^28 + t^8.31/g1^2 + (2*t^8.51)/g1^23 - g1^3*t^8.54 + (4*t^8.75)/g1^18 + g1^8*t^8.78 + (8*t^8.99)/g1^13 - t^4.15/(g1*y) - t^6.22/(g1^8*y) - (2*t^6.46)/(g1^3*y) + (2*t^7.37)/(g1^9*y) + (2*t^7.61)/(g1^4*y) + (4*g1*t^7.85)/y + (g1^6*t^8.08)/y - t^8.29/(g1^15*y) + (3*t^8.76)/(g1^5*y) - (t^4.15*y)/g1 - (t^6.22*y)/g1^8 - (2*t^6.46*y)/g1^3 + (2*t^7.37*y)/g1^9 + (2*t^7.61*y)/g1^4 + 4*g1*t^7.85*y + g1^6*t^8.08*y - (t^8.29*y)/g1^15 + (3*t^8.76*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2774 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6591 | 0.8331 | 0.7912 | [X:[], M:[0.7667, 0.85, 0.6833, 1.15, 0.6833], q:[0.7667, 0.4667], qb:[0.3833, 0.85], phi:[0.3833]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |