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 |
|---|---|---|---|---|---|---|---|---|---|
| 724 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6596 | 0.817 | 0.8073 | [X:[], M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], phi:[0.3909]] | [X:[], M:[[16], [14], [-16], [-16], [-6]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_2^2$ | . | -1 | t^2.21 + t^2.35 + t^2.48 + 2*t^2.62 + t^3.38 + t^3.79 + t^3.93 + t^4.2 + t^4.42 + 2*t^4.56 + 3*t^4.69 + 2*t^4.83 + 4*t^4.96 + 2*t^5.1 + 2*t^5.23 + 2*t^5.73 - t^6. + t^6.14 + t^6.27 + 2*t^6.41 + 3*t^6.54 + t^6.63 + t^6.68 + t^6.77 + 2*t^6.81 + 3*t^6.9 + 3*t^7.04 + 4*t^7.17 + 5*t^7.31 + 4*t^7.44 + 5*t^7.58 + 2*t^7.72 + 2*t^7.85 + t^7.94 + t^7.99 + t^8.07 + t^8.12 - 3*t^8.21 - t^8.35 + t^8.4 - 2*t^8.48 - 3*t^8.62 + 2*t^8.75 + t^8.84 + 4*t^8.89 + t^8.98 - t^4.17/y - t^6.38/y - t^6.52/y - t^6.65/y - t^6.79/y + (2*t^7.56)/y + (2*t^7.69)/y + (4*t^7.83)/y + (3*t^7.96)/y + (2*t^8.1)/y + t^8.23/y - t^8.86/y - t^4.17*y - t^6.38*y - t^6.52*y - t^6.65*y - t^6.79*y + 2*t^7.56*y + 2*t^7.69*y + 4*t^7.83*y + 3*t^7.96*y + 2*t^8.1*y + t^8.23*y - t^8.86*y | g1^14*t^2.21 + g1^4*t^2.35 + t^2.48/g1^6 + (2*t^2.62)/g1^16 + g1^16*t^3.38 + t^3.79/g1^14 + t^3.93/g1^24 + t^4.2/g1^44 + g1^28*t^4.42 + 2*g1^18*t^4.56 + 3*g1^8*t^4.69 + (2*t^4.83)/g1^2 + (4*t^4.96)/g1^12 + (2*t^5.1)/g1^22 + (2*t^5.23)/g1^32 + 2*g1^20*t^5.73 - t^6. + t^6.14/g1^10 + t^6.27/g1^20 + (2*t^6.41)/g1^30 + (3*t^6.54)/g1^40 + g1^42*t^6.63 + t^6.68/g1^50 + g1^32*t^6.77 + (2*t^6.81)/g1^60 + 3*g1^22*t^6.9 + 3*g1^12*t^7.04 + 4*g1^2*t^7.17 + (5*t^7.31)/g1^8 + (4*t^7.44)/g1^18 + (5*t^7.58)/g1^28 + (2*t^7.72)/g1^38 + (2*t^7.85)/g1^48 + g1^34*t^7.94 + t^7.99/g1^58 + g1^24*t^8.07 + t^8.12/g1^68 - 3*g1^14*t^8.21 - g1^4*t^8.35 + t^8.4/g1^88 - (2*t^8.48)/g1^6 - (3*t^8.62)/g1^16 + (2*t^8.75)/g1^26 + g1^56*t^8.84 + (4*t^8.89)/g1^36 + g1^46*t^8.98 - (g1^2*t^4.17)/y - (g1^16*t^6.38)/y - (g1^6*t^6.52)/y - t^6.65/(g1^4*y) - t^6.79/(g1^14*y) + (2*g1^18*t^7.56)/y + (2*g1^8*t^7.69)/y + (4*t^7.83)/(g1^2*y) + (3*t^7.96)/(g1^12*y) + (2*t^8.1)/(g1^22*y) + t^8.23/(g1^32*y) - (g1^10*t^8.86)/y - g1^2*t^4.17*y - g1^16*t^6.38*y - g1^6*t^6.52*y - (t^6.65*y)/g1^4 - (t^6.79*y)/g1^14 + 2*g1^18*t^7.56*y + 2*g1^8*t^7.69*y + (4*t^7.83*y)/g1^2 + (3*t^7.96*y)/g1^12 + (2*t^8.1*y)/g1^22 + (t^8.23*y)/g1^32 - g1^10*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 1191 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ | 0.649 | 0.7983 | 0.813 | [X:[], M:[1.1097, 0.721, 0.8903, 0.8903, 0.8339, 1.1097], q:[0.8056, 0.5298], qb:[0.3605, 0.7492], phi:[0.3887]] | t^2.16 + t^2.33 + t^2.5 + t^2.67 + 2*t^3.33 + t^3.84 + t^4.01 + t^4.33 + t^4.34 + 2*t^4.5 + 3*t^4.66 + t^4.83 + 3*t^5. + t^5.17 + t^5.49 + 3*t^5.66 + t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 1190 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6793 | 0.8531 | 0.7963 | [X:[], M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.8049, 0.5128], qb:[0.3657, 0.7558], phi:[0.3902]] | 2*t^2.19 + t^2.34 + t^2.49 + 2*t^2.64 + t^3.36 + t^3.95 + t^4.25 + 3*t^4.39 + 3*t^4.54 + 4*t^4.68 + 4*t^4.83 + 4*t^4.98 + 2*t^5.12 + 2*t^5.27 + t^5.56 + 2*t^5.71 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 1189 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6421 | 0.7861 | 0.8168 | [X:[], M:[1.1304, 0.7391, 0.8696, 0.8696, 0.8261, 1.2174], q:[0.8044, 0.5001], qb:[0.3695, 0.7608], phi:[0.3913]] | t^2.22 + t^2.48 + 2*t^2.61 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.17 + t^4.43 + t^4.57 + 2*t^4.7 + t^4.83 + 2*t^4.96 + 2*t^5.09 + 2*t^5.22 + t^5.74 + t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 1192 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ | 0.6803 | 0.8571 | 0.7938 | [X:[], M:[1.1242, 0.7337, 0.8758, 0.8758, 0.8284, 0.6863], q:[0.8047, 0.509], qb:[0.3668, 0.7574], phi:[0.3905]] | t^2.06 + t^2.2 + t^2.34 + t^2.49 + 2*t^2.63 + t^3.37 + t^3.8 + t^4.12 + t^4.23 + t^4.26 + 2*t^4.4 + 3*t^4.54 + 5*t^4.69 + 2*t^4.83 + 4*t^4.97 + 2*t^5.11 + 2*t^5.25 + t^5.43 + 2*t^5.72 + t^5.86 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 435 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.645 | 0.7913 | 0.8151 | [X:[], M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.2 + t^2.34 + 2*t^2.63 + t^3.37 + t^3.51 + t^3.8 + t^3.95 + t^4.24 + t^4.39 + 2*t^4.54 + 2*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.27 + 3*t^5.71 - t^6. - t^4.17/y - t^4.17*y | detail |