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 |
|---|---|---|---|---|---|---|---|---|---|
| 46560 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.6698 | 0.8297 | 0.8073 | [X:[], M:[1.1533, 0.9823, 0.8467, 0.7363, 0.8719], q:[0.3682, 0.4785], qb:[0.6495, 0.7852], phi:[0.4297]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_4\phi_1q_1^2$, $ M_2^2$ | . | -2 | t^2.21 + t^2.54 + t^2.58 + t^2.62 + t^2.95 + t^3.46 + t^3.5 + t^3.83 + t^4.16 + t^4.3 + t^4.34 + t^4.42 + t^4.67 + t^4.75 + t^4.79 + t^4.82 + t^5.08 + t^5.12 + 2*t^5.16 + 2*t^5.19 + t^5.23 + t^5.52 + t^5.56 + t^5.71 + t^5.89 - 2*t^6. + 2*t^6.04 + 2*t^6.08 + t^6.11 - t^6.33 + t^6.37 + t^6.41 + t^6.44 + t^6.55 + t^6.63 + t^6.7 + t^6.74 + t^6.78 - t^6.84 + t^6.88 + t^6.92 + 2*t^6.96 + 2*t^7. + t^7.03 + t^7.11 + t^7.29 + 2*t^7.33 + 2*t^7.36 + 2*t^7.4 + t^7.44 - t^7.58 + t^7.62 + 2*t^7.66 + t^7.7 + 2*t^7.73 + t^7.76 + 2*t^7.77 + t^7.8 + t^7.81 + t^7.84 + t^7.85 + t^7.92 + t^7.99 + t^8.1 + t^8.14 + t^8.18 - 3*t^8.21 + t^8.25 + t^8.28 + 2*t^8.32 + t^8.47 + t^8.51 - 3*t^8.54 - t^8.58 - t^8.62 + 3*t^8.65 + t^8.68 + 2*t^8.69 + t^8.73 + t^8.76 + t^8.83 + 2*t^8.84 - t^8.87 - 2*t^8.95 + t^8.98 - t^4.29/y - t^6.5/y - t^6.87/y - t^6.9/y - t^7.24/y + t^7.34/y + t^7.67/y + t^7.71/y + t^7.75/y + t^7.79/y + t^7.82/y + t^8.08/y + t^8.12/y + (2*t^8.16)/y + t^8.19/y + t^8.49/y + t^8.52/y + t^8.56/y + t^8.67/y - t^4.29*y - t^6.5*y - t^6.87*y - t^6.9*y - t^7.24*y + t^7.34*y + t^7.67*y + t^7.71*y + t^7.75*y + t^7.79*y + t^7.82*y + t^8.08*y + t^8.12*y + 2*t^8.16*y + t^8.19*y + t^8.49*y + t^8.52*y + t^8.56*y + t^8.67*y | (g1^2*t^2.21)/g2^16 + (g2^7*t^2.54)/g1 + t^2.58/g2^4 + (g1*t^2.62)/g2^15 + (g2^8*t^2.95)/g1^2 + (g1*t^3.46)/g2^7 + (g1^2*t^3.5)/g2^18 + (g2^5*t^3.83)/g1 + (g2^28*t^4.16)/g1^4 + g1*g2*t^4.3 + (g1^2*t^4.34)/g2^10 + (g1^4*t^4.42)/g2^32 + (g2^13*t^4.67)/g1 + (g1*t^4.75)/g2^9 + (g1^2*t^4.79)/g2^20 + (g1^3*t^4.82)/g2^31 + (g2^14*t^5.08)/g1^2 + (g2^3*t^5.12)/g1 + (2*t^5.16)/g2^8 + (g1*t^5.19)/g2^19 + (g1^2*t^5.19)/g2^2 + (g1^2*t^5.23)/g2^30 + (g2^4*t^5.52)/g1^2 + t^5.56/(g1*g2^7) + (g1^4*t^5.71)/g2^34 + (g2^16*t^5.89)/g1^4 - 2*t^6. + (2*g1*t^6.04)/g2^11 + (2*g1^2*t^6.08)/g2^22 + (g1^3*t^6.11)/g2^33 - (g2^23*t^6.33)/g1^3 + (g2^12*t^6.37)/g1^2 + (g2*t^6.41)/g1 + t^6.44/g2^10 + (g1^4*t^6.55)/g2^26 + (g1^6*t^6.63)/g2^48 + (g2^35*t^6.7)/g1^5 + (g2^24*t^6.74)/g1^4 + (g2^13*t^6.78)/g1^3 - g2^8*t^6.84 + (g1*t^6.88)/g2^3 + (g1^2*t^6.92)/g2^14 + (2*g1^3*t^6.96)/g2^25 + (2*g1^4*t^7.)/g2^36 + (g1^5*t^7.03)/g2^47 + (g2^36*t^7.11)/g1^6 + t^7.29/g2^2 + (2*g1*t^7.33)/g2^13 + (2*g1^2*t^7.36)/g2^24 + (g1^3*t^7.4)/g2^35 + (g1^4*t^7.4)/g2^18 + (g1^4*t^7.44)/g2^46 - (g2^32*t^7.58)/g1^4 + (g2^21*t^7.62)/g1^3 + (2*g2^10*t^7.66)/g1^2 + t^7.7/(g1*g2) + (2*t^7.73)/g2^12 + (g1^2*t^7.76)/g2^6 + (2*g1*t^7.77)/g2^23 + (g1^3*t^7.8)/g2^17 + (g1^2*t^7.81)/g2^34 + (g1^4*t^7.84)/g2^28 + (g1^3*t^7.85)/g2^45 + (g1^6*t^7.92)/g2^50 + (g2^33*t^7.99)/g1^5 + (2*t^8.1)/g1^2 - (g2^17*t^8.1)/g1 + t^8.14/(g1*g2^11) + t^8.18/g2^22 - (3*g1^2*t^8.21)/g2^16 + (g1^3*t^8.25)/g2^27 + (g1^4*t^8.28)/g2^38 + (g1^5*t^8.32)/g2^49 + (g2^56*t^8.32)/g1^8 + (g2^12*t^8.47)/g1^4 + (g2*t^8.51)/g1^3 - (3*g2^7*t^8.54)/g1 - t^8.58/g2^4 - (g1*t^8.62)/g2^15 + (2*g1^2*t^8.65)/g2^26 + (g1^3*t^8.65)/g2^9 + (g1^4*t^8.68)/g2^20 + (2*g1^3*t^8.69)/g2^37 + (g1^4*t^8.73)/g2^48 + (g1^6*t^8.76)/g2^42 + (g2^41*t^8.83)/g1^5 + (g1^8*t^8.84)/g2^64 + (g2^24*t^8.84)/g1^6 - (g2^30*t^8.87)/g1^4 - (2*g2^8*t^8.95)/g1^2 + t^8.98/(g1*g2^3) - t^4.29/(g2^2*y) - (g1^2*t^6.5)/(g2^18*y) - t^6.87/(g2^6*y) - (g1*t^6.9)/(g2^17*y) - (g2^6*t^7.24)/(g1^2*y) + (g1^2*t^7.34)/(g2^10*y) + (g2^13*t^7.67)/(g1*y) + (g2^2*t^7.71)/y + (g1*t^7.75)/(g2^9*y) + (g1^2*t^7.79)/(g2^20*y) + (g1^3*t^7.82)/(g2^31*y) + (g2^14*t^8.08)/(g1^2*y) + (g2^3*t^8.12)/(g1*y) + (2*t^8.16)/(g2^8*y) + (g1*t^8.19)/(g2^19*y) + (g2^15*t^8.49)/(g1^3*y) + (g2^4*t^8.52)/(g1^2*y) + t^8.56/(g1*g2^7*y) + (g1^3*t^8.67)/(g2^23*y) - (t^4.29*y)/g2^2 - (g1^2*t^6.5*y)/g2^18 - (t^6.87*y)/g2^6 - (g1*t^6.9*y)/g2^17 - (g2^6*t^7.24*y)/g1^2 + (g1^2*t^7.34*y)/g2^10 + (g2^13*t^7.67*y)/g1 + g2^2*t^7.71*y + (g1*t^7.75*y)/g2^9 + (g1^2*t^7.79*y)/g2^20 + (g1^3*t^7.82*y)/g2^31 + (g2^14*t^8.08*y)/g1^2 + (g2^3*t^8.12*y)/g1 + (2*t^8.16*y)/g2^8 + (g1*t^8.19*y)/g2^19 + (g2^15*t^8.49*y)/g1^3 + (g2^4*t^8.52*y)/g1^2 + (t^8.56*y)/(g1*g2^7) + (g1^3*t^8.67*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46843 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ | 0.6651 | 0.8215 | 0.8096 | [X:[], M:[1.1482, 1.0528, 0.8518, 0.7461, 0.9472], q:[0.3731, 0.4788], qb:[0.5741, 0.7751], phi:[0.4497]] | t^2.24 + t^2.56 + t^2.7 + t^2.84 + t^3.16 + t^3.44 + t^3.59 + t^3.9 + t^4.05 + t^4.19 + t^4.22 + t^4.48 + t^4.51 + 2*t^4.79 + t^4.94 + t^5.08 + t^5.11 + t^5.25 + 2*t^5.4 + t^5.54 + t^5.68 + t^5.83 + t^5.86 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 46948 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6669 | 0.8242 | 0.8092 | [X:[], M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | t^2.34 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.27 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.11 + t^5.16 + 2*t^5.25 + t^5.39 + 2*t^5.53 + t^5.67 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | |
| 47271 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_5^2$ | 0.6596 | 0.8132 | 0.8111 | [X:[], M:[1.1671, 1.0406, 0.8329, 0.7923, 1.0], q:[0.3962, 0.4368], qb:[0.5632, 0.7709], phi:[0.4582]] | t^2.38 + t^2.5 + t^2.75 + t^3. + t^3.12 + t^3.5 + t^3.75 + t^3.87 + 2*t^4. + t^4.25 + t^4.37 + 2*t^4.75 + t^4.88 + t^5. + t^5.13 + t^5.25 + t^5.38 + 2*t^5.5 + t^5.75 + t^5.87 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 46820 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |