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 |
|---|---|---|---|---|---|---|---|---|---|
| 51105 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_3M_6$ | 0.6337 | 0.7854 | 0.8068 | [X:[], M:[0.8211, 0.7509, 1.1789, 0.7509, 1.214, 0.8211], q:[0.8035, 0.3754], qb:[0.4456, 0.8035], phi:[0.393]] | [X:[], M:[[6], [-14], [-6], [-14], [4], [6]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 | {a: 68629/108300, c: 21266/27075, M1: 78/95, M2: 214/285, M3: 112/95, M4: 214/285, M5: 346/285, M6: 78/95, q1: 229/285, q2: 107/285, qb1: 127/285, qb2: 229/285, phi1: 112/285} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_1M_2$, $ M_1M_4$, $ M_2M_6$, $ M_4M_6$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2M_5$, $ M_4M_5$, $ M_6\phi_1q_2^2$, $ M_2\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$ | $M_6q_2\tilde{q}_2$ | -1 | 2*t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.85 + 3*t^4.51 + 4*t^4.72 + t^4.82 + 3*t^4.93 + 2*t^5.68 + t^5.79 + 4*t^5.89 - t^6. + 4*t^6.11 - t^6.21 + 2*t^6.32 + 4*t^6.76 + t^6.86 + 6*t^6.97 + 2*t^7.07 + 4*t^7.18 + t^7.28 + 2*t^7.39 + t^7.49 + t^7.71 + 3*t^7.94 + t^8.04 + 6*t^8.15 - 4*t^8.25 + 6*t^8.36 - 5*t^8.46 + 4*t^8.57 - 2*t^8.67 + 3*t^8.78 - t^4.18/y - (2*t^6.43)/y - t^6.64/y + t^7.51/y + (5*t^7.72)/y + (3*t^7.93)/y - t^8.68/y + (2*t^8.79)/y + (4*t^8.89)/y - t^4.18*y - 2*t^6.43*y - t^6.64*y + t^7.51*y + 5*t^7.72*y + 3*t^7.93*y - t^8.68*y + 2*t^8.79*y + 4*t^8.89*y | (2*t^2.25)/g1^14 + 2*g1^6*t^2.46 + t^3.43/g1^16 + t^3.54/g1^6 + 2*g1^4*t^3.64 + g1^24*t^3.85 + (3*t^4.51)/g1^28 + (4*t^4.72)/g1^8 + g1^2*t^4.82 + 3*g1^12*t^4.93 + (2*t^5.68)/g1^30 + t^5.79/g1^20 + (4*t^5.89)/g1^10 - t^6. + 4*g1^10*t^6.11 - g1^20*t^6.21 + 2*g1^30*t^6.32 + (4*t^6.76)/g1^42 + t^6.86/g1^32 + (6*t^6.97)/g1^22 + (2*t^7.07)/g1^12 + (4*t^7.18)/g1^2 + g1^8*t^7.28 + 2*g1^18*t^7.39 + g1^28*t^7.49 + g1^48*t^7.71 + (3*t^7.94)/g1^44 + t^8.04/g1^34 + (6*t^8.15)/g1^24 - (4*t^8.25)/g1^14 + (6*t^8.36)/g1^4 - 5*g1^6*t^8.46 + 4*g1^16*t^8.57 - 2*g1^26*t^8.67 + 3*g1^36*t^8.78 - t^4.18/(g1^2*y) - (2*t^6.43)/(g1^16*y) - (g1^4*t^6.64)/y + t^7.51/(g1^28*y) + (5*t^7.72)/(g1^8*y) + (3*g1^12*t^7.93)/y - t^8.68/(g1^30*y) + (2*t^8.79)/(g1^20*y) + (4*t^8.89)/(g1^10*y) - (t^4.18*y)/g1^2 - (2*t^6.43*y)/g1^16 - g1^4*t^6.64*y + (t^7.51*y)/g1^28 + (5*t^7.72*y)/g1^8 + 3*g1^12*t^7.93*y - (t^8.68*y)/g1^30 + (2*t^8.79*y)/g1^20 + (4*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 56244 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6541 | 0.825 | 0.7928 | [X:[], M:[0.8252, 0.7412, 1.1748, 0.7412, 1.2168, 0.8252, 0.6992], q:[0.8042, 0.3706], qb:[0.4546, 0.8042], phi:[0.3916]] | t^2.1 + 2*t^2.22 + 2*t^2.48 + t^3.4 + t^3.52 + 2*t^3.65 + t^4.2 + 2*t^4.32 + 3*t^4.45 + 2*t^4.57 + 4*t^4.7 + t^4.83 + 3*t^4.95 + t^5.5 + 3*t^5.62 + 3*t^5.75 + 4*t^5.87 - t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48134 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6187 | 0.7598 | 0.8142 | [X:[], M:[0.8251, 0.7414, 1.1749, 0.7414, 1.2167], q:[0.8042, 0.3707], qb:[0.4544, 0.8042], phi:[0.3916]] | 2*t^2.22 + t^2.48 + t^3.4 + 2*t^3.52 + 2*t^3.65 + t^3.9 + 3*t^4.45 + 2*t^4.7 + t^4.83 + t^4.95 + 2*t^5.62 + 3*t^5.75 + 3*t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail |