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 |
|---|---|---|---|---|---|---|---|---|---|
| 1314 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7332 | 0.912 | 0.804 | [X:[], M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_1$, $ M_3$, $ M_4$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_1M_7$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6M_7$, $ M_3M_7$, $ M_4M_7$, $ M_1M_5$, $ M_5^2$, $ M_1^2$, $ M_2M_7$, $ M_7q_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_3M_5$, $ M_1M_4$, $ M_2M_5$, $ M_1M_2$ | $M_3^2$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$ | -2 | t^2.02 + 2*t^2.58 + 3*t^3. + t^3.21 + t^3.42 + t^4.05 + 3*t^4.4 + 2*t^4.6 + 6*t^4.81 + 3*t^5.02 + 3*t^5.16 + t^5.23 + t^5.44 + 3*t^5.58 + 2*t^5.79 - 2*t^6. + t^6.07 + 3*t^6.21 + 3*t^6.42 + 3*t^6.63 + 7*t^6.84 + 3*t^6.98 + 3*t^7.05 + 2*t^7.19 + t^7.26 + 9*t^7.4 + t^7.47 + 3*t^7.6 + 4*t^7.74 + 11*t^7.81 - 2*t^8.02 + t^8.1 + 3*t^8.16 + 6*t^8.23 + 3*t^8.37 + 3*t^8.44 - 8*t^8.58 + 3*t^8.65 + 3*t^8.79 + 7*t^8.86 - t^4.4/y - t^6.42/y - (2*t^6.98)/y + (2*t^7.6)/y + (2*t^7.81)/y + (3*t^8.02)/y + t^8.16/y + t^8.23/y + t^8.37/y + (6*t^8.58)/y + (2*t^8.79)/y - t^4.4*y - t^6.42*y - 2*t^6.98*y + 2*t^7.6*y + 2*t^7.81*y + 3*t^8.02*y + t^8.16*y + t^8.23*y + t^8.37*y + 6*t^8.58*y + 2*t^8.79*y | t^2.02/g1^5 + (g1^2*t^2.58)/g2 + g1^6*g2*t^2.58 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.21/g1^2 + t^3.42/g1^4 + t^4.05/g1^10 + g1*t^4.4 + t^4.4/(g1*g2) + g1^3*g2*t^4.4 + t^4.6/(g1^3*g2) + g1*g2*t^4.6 + (2*t^4.81)/g1^3 + t^4.81/(g1^7*g2^2) + t^4.81/(g1^5*g2) + (g2*t^4.81)/g1 + g1*g2^2*t^4.81 + t^5.02/g1^5 + t^5.02/(g1^7*g2) + (g2*t^5.02)/g1^3 + g1^8*t^5.16 + (g1^4*t^5.16)/g2^2 + g1^12*g2^2*t^5.16 + t^5.23/g1^7 + t^5.44/g1^9 + g1^4*t^5.58 + t^5.58/g2^2 + g1^8*g2^2*t^5.58 + t^5.79/g2 + g1^4*g2*t^5.79 - 2*t^6. + t^6.07/g1^15 + t^6.21/g1^2 + t^6.21/(g1^4*g2) + g2*t^6.21 + t^6.42/g1^4 + t^6.42/(g1^6*g2) + (g2*t^6.42)/g1^2 + t^6.63/g1^6 + t^6.63/(g1^8*g2) + (g2*t^6.63)/g1^4 + (3*t^6.84)/g1^8 + t^6.84/(g1^12*g2^2) + t^6.84/(g1^10*g2) + (g2*t^6.84)/g1^6 + (g2^2*t^6.84)/g1^4 + g1^5*t^6.98 + (g1*t^6.98)/g2^2 + g1^9*g2^2*t^6.98 + t^7.05/g1^10 + t^7.05/(g1^12*g2) + (g2*t^7.05)/g1^8 + t^7.19/(g1*g2^2) + g1^7*g2^2*t^7.19 + t^7.26/g1^12 + g1*t^7.4 + t^7.4/(g1^5*g2^3) + t^7.4/(g1^3*g2^2) + (2*t^7.4)/(g1*g2) + 2*g1^3*g2*t^7.4 + g1^5*g2^2*t^7.4 + g1^7*g2^3*t^7.4 + t^7.47/g1^14 + t^7.6/g1 + t^7.6/(g1^5*g2^2) + g1^3*g2^2*t^7.6 + (g1^6*t^7.74)/g2^3 + (g1^10*t^7.74)/g2 + g1^14*g2*t^7.74 + g1^18*g2^3*t^7.74 + t^7.81/g1^3 + t^7.81/(g1^9*g2^3) + t^7.81/(g1^7*g2^2) + (3*t^7.81)/(g1^5*g2) + (3*g2*t^7.81)/g1 + g1*g2^2*t^7.81 + g1^3*g2^3*t^7.81 - (2*t^8.02)/g1^5 + t^8.1/g1^20 - g1^8*t^8.16 + (g1^2*t^8.16)/g2^3 + (g1^6*t^8.16)/g2 + g1^10*g2*t^8.16 + g1^14*g2^3*t^8.16 + (2*t^8.23)/g1^7 + t^8.23/(g1^11*g2^2) + t^8.23/(g1^9*g2) + (g2*t^8.23)/g1^5 + (g2^2*t^8.23)/g1^3 + g1^6*t^8.37 + (g1^2*t^8.37)/g2^2 + g1^10*g2^2*t^8.37 + t^8.44/g1^9 + t^8.44/(g1^11*g2) + (g2*t^8.44)/g1^7 - 2*g1^4*t^8.58 - (3*g1^2*t^8.58)/g2 - 3*g1^6*g2*t^8.58 + t^8.65/g1^11 + t^8.65/(g1^13*g2) + (g2*t^8.65)/g1^9 + g1^2*t^8.79 + t^8.79/(g1^2*g2^2) + g1^6*g2^2*t^8.79 + (3*t^8.86)/g1^13 + t^8.86/(g1^17*g2^2) + t^8.86/(g1^15*g2) + (g2*t^8.86)/g1^11 + (g2^2*t^8.86)/g1^9 - (g1*t^4.4)/y - t^6.42/(g1^4*y) - (g1^3*t^6.98)/(g2*y) - (g1^7*g2*t^6.98)/y + t^7.6/(g1^3*g2*y) + (g1*g2*t^7.6)/y + t^7.81/(g1^5*g2*y) + (g2*t^7.81)/(g1*y) + t^8.02/(g1^5*y) + t^8.02/(g1^7*g2*y) + (g2*t^8.02)/(g1^3*y) + (g1^8*t^8.16)/y + t^8.23/(g1^7*y) + (g1^6*t^8.37)/y + (2*g1^4*t^8.58)/y + t^8.58/(g2^2*y) + (g1^2*t^8.58)/(g2*y) + (g1^6*g2*t^8.58)/y + (g1^8*g2^2*t^8.58)/y + t^8.79/(g2*y) + (g1^4*g2*t^8.79)/y - g1*t^4.4*y - (t^6.42*y)/g1^4 - (g1^3*t^6.98*y)/g2 - g1^7*g2*t^6.98*y + (t^7.6*y)/(g1^3*g2) + g1*g2*t^7.6*y + (t^7.81*y)/(g1^5*g2) + (g2*t^7.81*y)/g1 + (t^8.02*y)/g1^5 + (t^8.02*y)/(g1^7*g2) + (g2*t^8.02*y)/g1^3 + g1^8*t^8.16*y + (t^8.23*y)/g1^7 + g1^6*t^8.37*y + 2*g1^4*t^8.58*y + (t^8.58*y)/g2^2 + (g1^2*t^8.58*y)/g2 + g1^6*g2*t^8.58*y + g1^8*g2^2*t^8.58*y + (t^8.79*y)/g2 + g1^4*g2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 2358 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.7345 | 0.915 | 0.8027 | [X:[], M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 2355 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5744 | 0.7027 | 0.8173 | [X:[1.5892], M:[0.4108, 1.1784, 1.2324, 0.7676, 0.8757, 1.0, 0.9459], q:[0.9108, 0.6784], qb:[0.3216, 0.4459], phi:[0.4108]] | t^2.3 + t^2.63 + t^2.84 + t^3. + 2*t^3.54 + t^3.7 + t^3.91 + t^4.07 + t^4.61 + t^4.77 + t^4.93 + t^5.14 + t^5.25 + t^5.3 + t^5.68 + 2*t^5.84 - t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail |