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 |
|---|---|---|---|---|---|---|---|---|---|
| 2994 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.5968 | 0.7591 | 0.7862 | [X:[], M:[1.0223, 0.6793, 0.9777, 0.7238, 1.2762, 0.8508], q:[0.6381, 0.3396], qb:[0.3842, 0.9365], phi:[0.4254]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-4]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_5$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$ | . | -1 | t^2.04 + t^2.17 + 2*t^2.55 + t^2.93 + t^3.07 + t^3.31 + t^3.58 + t^3.83 + t^4.08 + t^4.21 + t^4.34 + 2*t^4.59 + 3*t^4.72 + t^4.97 + 5*t^5.1 + t^5.24 + t^5.35 + 2*t^5.49 + 2*t^5.62 + t^5.75 + 3*t^5.87 - t^6. + t^6.11 + 2*t^6.13 + 2*t^6.25 + 2*t^6.38 + 3*t^6.63 + t^6.65 + 2*t^6.76 + t^6.9 + t^7.01 - t^7.03 + 5*t^7.14 + t^7.16 + 4*t^7.28 + t^7.39 + 2*t^7.52 + 8*t^7.66 + t^7.79 + 3*t^7.9 + t^7.92 + 2*t^8.04 + t^8.15 + 2*t^8.29 + 2*t^8.31 + 5*t^8.42 - 4*t^8.55 + 3*t^8.67 + 2*t^8.69 + 4*t^8.8 + t^8.82 - t^8.93 - t^4.28/y - t^6.31/y - (2*t^6.83)/y + t^7.21/y + (2*t^7.59)/y + (4*t^7.72)/y + t^7.97/y + (3*t^8.1)/y + (2*t^8.24)/y + (3*t^8.49)/y + (3*t^8.62)/y + t^8.75/y + t^8.87/y - t^4.28*y - t^6.31*y - 2*t^6.83*y + t^7.21*y + 2*t^7.59*y + 4*t^7.72*y + t^7.97*y + 3*t^8.1*y + 2*t^8.24*y + 3*t^8.49*y + 3*t^8.62*y + t^8.75*y + t^8.87*y | t^2.04/g1^22 + g1^6*t^2.17 + (2*t^2.55)/g1^4 + t^2.93/g1^14 + g1^14*t^3.07 + t^3.31/g1^24 + g1^32*t^3.58 + t^3.83/g1^6 + t^4.08/g1^44 + t^4.21/g1^16 + g1^12*t^4.34 + (2*t^4.59)/g1^26 + 3*g1^2*t^4.72 + t^4.97/g1^36 + (5*t^5.1)/g1^8 + g1^20*t^5.24 + t^5.35/g1^46 + (2*t^5.49)/g1^18 + 2*g1^10*t^5.62 + g1^38*t^5.75 + (3*t^5.87)/g1^28 - t^6. + t^6.11/g1^66 + 2*g1^28*t^6.13 + (2*t^6.25)/g1^38 + (2*t^6.38)/g1^10 + (3*t^6.63)/g1^48 + g1^46*t^6.65 + (2*t^6.76)/g1^20 + g1^8*t^6.9 + t^7.01/g1^58 - g1^36*t^7.03 + (5*t^7.14)/g1^30 + g1^64*t^7.16 + (4*t^7.28)/g1^2 + t^7.39/g1^68 + (2*t^7.52)/g1^40 + (8*t^7.66)/g1^12 + g1^16*t^7.79 + (3*t^7.9)/g1^50 + g1^44*t^7.92 + (2*t^8.04)/g1^22 + t^8.15/g1^88 + (2*t^8.29)/g1^60 + 2*g1^34*t^8.31 + (5*t^8.42)/g1^32 - (4*t^8.55)/g1^4 + (3*t^8.67)/g1^70 + 2*g1^24*t^8.69 + (4*t^8.8)/g1^42 + g1^52*t^8.82 - t^8.93/g1^14 - t^4.28/(g1^2*y) - t^6.31/(g1^24*y) - (2*t^6.83)/(g1^6*y) + t^7.21/(g1^16*y) + (2*t^7.59)/(g1^26*y) + (4*g1^2*t^7.72)/y + t^7.97/(g1^36*y) + (3*t^8.1)/(g1^8*y) + (2*g1^20*t^8.24)/y + (3*t^8.49)/(g1^18*y) + (3*g1^10*t^8.62)/y + (g1^38*t^8.75)/y + t^8.87/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.31*y)/g1^24 - (2*t^6.83*y)/g1^6 + (t^7.21*y)/g1^16 + (2*t^7.59*y)/g1^26 + 4*g1^2*t^7.72*y + (t^7.97*y)/g1^36 + (3*t^8.1*y)/g1^8 + 2*g1^20*t^8.24*y + (3*t^8.49*y)/g1^18 + 3*g1^10*t^8.62*y + g1^38*t^8.75*y + (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3618 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6079 | 0.7775 | 0.7818 | [X:[], M:[1.0001, 0.7142, 0.9999, 0.7143, 1.2857, 0.8571, 0.8573], q:[0.6428, 0.3571], qb:[0.3572, 0.9286], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + 7*t^4.71 + 10*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1949 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1q_1\tilde{q}_2$ | 0.5838 | 0.7365 | 0.7926 | [X:[], M:[1.0186, 0.685, 0.9814, 0.7223, 1.2777], q:[0.6389, 0.3425], qb:[0.3798, 0.9352], phi:[0.4259]] | t^2.05 + t^2.17 + t^2.56 + t^2.94 + t^3.06 + t^3.33 + t^3.44 + t^3.56 + t^3.83 + t^4.11 + t^4.22 + t^4.33 + t^4.61 + 2*t^4.72 + t^5. + 3*t^5.11 + t^5.22 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 + 2*t^5.89 - t^4.28/y - t^4.28*y | detail |