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 |
|---|---|---|---|---|---|---|---|---|---|
| 356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ | 0.5868 | 0.7598 | 0.7723 | [X:[], M:[0.9236, 1.2293, 0.7707], q:[0.7309, 0.3455], qb:[0.3455, 0.4252], phi:[0.5382]] | [X:[], M:[[4], [-12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1^3$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | t^2.07 + 2*t^2.31 + t^2.77 + 2*t^3.23 + t^3.47 + 3*t^3.69 + 2*t^3.93 + t^4.15 + t^4.17 + 2*t^4.39 + 3*t^4.62 + t^4.84 + 2*t^5.08 + 2*t^5.3 + 5*t^5.54 + t^5.76 + 2*t^5.78 + 3*t^6. + t^6.22 + 3*t^6.24 + 3*t^6.46 + 2*t^6.48 + 4*t^6.7 + 4*t^6.92 + 5*t^6.94 + 3*t^7.16 + 5*t^7.38 + 5*t^7.4 + 3*t^7.61 + t^7.63 + t^7.83 + 8*t^7.85 - t^8.07 + 5*t^8.09 + t^8.29 + 2*t^8.31 + t^8.33 + t^8.53 + 4*t^8.55 + t^8.77 + 3*t^8.79 + t^8.99 - t^4.61/y + (2*t^7.39)/y + t^7.62/y + t^7.84/y + (2*t^8.08)/y + (2*t^8.3)/y + (5*t^8.54)/y + (3*t^8.76)/y + (2*t^8.78)/y - t^4.61*y + 2*t^7.39*y + t^7.62*y + t^7.84*y + 2*t^8.08*y + 2*t^8.3*y + 5*t^8.54*y + 3*t^8.76*y + 2*t^8.78*y | t^2.07/g1^10 + 2*g1^12*t^2.31 + g1^4*t^2.77 + (2*t^3.23)/g1^4 + g1^18*t^3.47 + (3*t^3.69)/g1^12 + 2*g1^10*t^3.93 + t^4.15/g1^20 + g1^32*t^4.17 + 2*g1^2*t^4.39 + 3*g1^24*t^4.62 + t^4.84/g1^6 + 2*g1^16*t^5.08 + (2*t^5.3)/g1^14 + 5*g1^8*t^5.54 + t^5.76/g1^22 + 2*g1^30*t^5.78 + 3*t^6. + t^6.22/g1^30 + 3*g1^22*t^6.24 + (3*t^6.46)/g1^8 + 2*g1^44*t^6.48 + 4*g1^14*t^6.7 + (4*t^6.92)/g1^16 + 5*g1^36*t^6.94 + 3*g1^6*t^7.16 + (5*t^7.38)/g1^24 + 5*g1^28*t^7.4 + (3*t^7.61)/g1^2 + g1^50*t^7.63 + t^7.83/g1^32 + 8*g1^20*t^7.85 - t^8.07/g1^10 + 5*g1^42*t^8.09 + t^8.29/g1^40 + 2*g1^12*t^8.31 + g1^64*t^8.33 + t^8.53/g1^18 + 4*g1^34*t^8.55 + g1^4*t^8.77 + 3*g1^56*t^8.79 + t^8.99/g1^26 - t^4.61/(g1^2*y) + (2*g1^2*t^7.39)/y + (g1^24*t^7.62)/y + t^7.84/(g1^6*y) + (2*g1^16*t^8.08)/y + (2*t^8.3)/(g1^14*y) + (5*g1^8*t^8.54)/y + (3*t^8.76)/(g1^22*y) + (2*g1^30*t^8.78)/y - (t^4.61*y)/g1^2 + 2*g1^2*t^7.39*y + g1^24*t^7.62*y + (t^7.84*y)/g1^6 + 2*g1^16*t^8.08*y + (2*t^8.3*y)/g1^14 + 5*g1^8*t^8.54*y + (3*t^8.76*y)/g1^22 + 2*g1^30*t^8.78*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 565 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6075 | 0.7997 | 0.7596 | [X:[], M:[0.9243, 1.2271, 0.7729, 0.6893], q:[0.7311, 0.3446], qb:[0.3446, 0.4283], phi:[0.5379]] | 2*t^2.07 + 2*t^2.32 + t^2.77 + 2*t^3.23 + t^3.48 + 3*t^3.68 + t^3.93 + 3*t^4.14 + t^4.18 + 4*t^4.39 + 3*t^4.64 + 2*t^4.84 + 2*t^5.09 + 4*t^5.29 + 6*t^5.55 + 4*t^5.75 + 2*t^5.8 + 3*t^6. - t^4.61/y - t^4.61*y | detail | |
| 1790 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ | 0.6015 | 0.7847 | 0.7666 | [X:[], M:[0.9305, 1.2086, 0.7914, 0.8129], q:[0.7326, 0.3369], qb:[0.3369, 0.4545], phi:[0.5348]] | t^2.02 + 2*t^2.37 + t^2.44 + t^2.79 + 2*t^3.21 + 3*t^3.63 + 2*t^3.98 + t^4.04 + t^4.33 + 2*t^4.4 + t^4.46 + 3*t^4.75 + 3*t^4.81 + t^4.88 + 2*t^5.17 + 3*t^5.23 + 4*t^5.58 + 3*t^5.65 + 3*t^6. - t^4.6/y - t^4.6*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 |
|---|---|---|---|---|---|---|---|---|---|
| 223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6081 | 0.7817 | 0.778 | [X:[], M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.2 + t^2.26 + t^2.93 + t^3.07 + 2*t^3.2 + t^3.6 + t^3.66 + t^3.74 + t^4.28 + t^4.33 + t^4.39 + 3*t^4.41 + 2*t^4.47 + t^4.52 + 2*t^5.14 + t^5.2 + 2*t^5.27 + t^5.33 + 3*t^5.41 + t^5.46 + 2*t^5.81 + 3*t^5.87 + t^5.92 + t^5.94 - 2*t^6. - t^4.53/y - t^4.53*y | detail |