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 |
|---|---|---|---|---|---|---|---|---|---|
| 2384 | 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ | 0.7139 | 0.8819 | 0.8095 | [X:[], M:[0.8374, 1.0495, 1.0636, 0.9646, 0.9364, 1.0354, 0.8655, 0.9364], q:[0.6168, 0.5459], qb:[0.4187, 0.5177], phi:[0.4752]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12], [4, 4]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_5$, $ M_8$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_7$, $ \phi_1q_1^2$, $ M_7^2$, $ M_1M_5$, $ M_1M_8$, $ M_1M_4$, $ M_5M_7$, $ M_7M_8$, $ M_4M_7$, $ M_5^2$, $ M_1M_6$, $ M_5M_8$, $ M_8^2$, $ M_1M_2$, $ M_4M_5$, $ M_6M_7$, $ M_4M_8$, $ M_2M_7$, $ M_5M_6$, $ M_6M_8$, $ M_2M_5$, $ M_2M_8$ | . | -3 | t^2.51 + t^2.6 + 2*t^2.81 + t^2.89 + t^3.11 + t^3.15 + t^3.94 + t^4.23 + t^4.32 + 2*t^4.53 + t^4.62 + t^4.7 + t^4.83 + t^4.91 + t^5.02 + t^5.11 + t^5.13 + t^5.19 + 2*t^5.32 + 2*t^5.41 + t^5.49 + 3*t^5.62 + t^5.66 + t^5.7 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. + t^6.04 - t^6.08 + t^6.25 - 2*t^6.3 - t^6.38 + t^6.45 + t^6.53 - t^6.59 + 3*t^6.75 + 2*t^6.83 + t^6.92 + 4*t^7.04 + 3*t^7.13 + 2*t^7.21 + t^7.3 + 4*t^7.34 + 2*t^7.43 + 2*t^7.51 + t^7.54 + t^7.59 + t^7.62 + 3*t^7.64 + t^7.71 + t^7.79 + 2*t^7.83 + t^7.88 + 2*t^7.92 + 2*t^7.94 + 2*t^8. - t^8.02 + t^8.09 - t^8.1 + 3*t^8.13 + 2*t^8.17 + t^8.21 + t^8.23 + 2*t^8.26 + t^8.3 - t^8.32 + t^8.34 + 3*t^8.43 + 4*t^8.47 - 4*t^8.51 + 3*t^8.55 - 4*t^8.6 + 2*t^8.64 - t^8.68 + t^8.72 + 5*t^8.77 - 9*t^8.81 + 3*t^8.85 - 6*t^8.89 + t^8.94 + t^8.96 - 2*t^8.98 - t^4.43/y - t^6.94/y - t^7.02/y - t^7.23/y + t^7.62/y + t^7.83/y + t^7.91/y + t^8.11/y + (2*t^8.32)/y + (3*t^8.41)/y + t^8.49/y + (2*t^8.62)/y + t^8.66/y + (3*t^8.7)/y + t^8.75/y + (2*t^8.92)/y + (2*t^8.96)/y - t^4.43*y - t^6.94*y - t^7.02*y - t^7.23*y + t^7.62*y + t^7.83*y + t^7.91*y + t^8.11*y + 2*t^8.32*y + 3*t^8.41*y + t^8.49*y + 2*t^8.62*y + t^8.66*y + 3*t^8.7*y + t^8.75*y + 2*t^8.92*y + 2*t^8.96*y | g1^8*t^2.51 + (g1^4*t^2.6)/g2^12 + 2*g1^4*g2^4*t^2.81 + t^2.89/g2^8 + g2^8*t^3.11 + (g2^2*t^3.15)/g1^2 + (g1^9*t^3.94)/g2 + g1^5*g2^3*t^4.23 + (g1*t^4.32)/g2^9 + 2*g1*g2^7*t^4.53 + t^4.62/(g1^3*g2^5) + t^4.7/(g1^7*g2^17) + (g2^11*t^4.83)/g1^3 + t^4.91/(g1^7*g2) + g1^16*t^5.02 + (g1^12*t^5.11)/g2^12 + (g2^15*t^5.13)/g1^7 + (g1^8*t^5.19)/g2^24 + 2*g1^12*g2^4*t^5.32 + (2*g1^8*t^5.41)/g2^8 + (g1^4*t^5.49)/g2^20 + 3*g1^8*g2^8*t^5.62 + g1^6*g2^2*t^5.66 + (g1^4*t^5.7)/g2^4 + (g1^2*t^5.75)/g2^10 + g1^4*g2^12*t^5.92 + 2*g1^2*g2^6*t^5.96 - 3*t^6. + t^6.04/(g1^2*g2^6) - t^6.08/(g1^4*g2^12) + (g2^10*t^6.25)/g1^2 - (2*g2^4*t^6.3)/g1^4 - t^6.38/(g1^8*g2^8) + (g1^17*t^6.45)/g2 + (g1^13*t^6.53)/g2^13 - (g2^8*t^6.59)/g1^8 + 3*g1^13*g2^3*t^6.75 + (2*g1^9*t^6.83)/g2^9 + (g1^5*t^6.92)/g2^21 + 4*g1^9*g2^7*t^7.04 + (3*g1^5*t^7.13)/g2^5 + (2*g1*t^7.21)/g2^17 + t^7.3/(g1^3*g2^29) + 4*g1^5*g2^11*t^7.34 + (2*g1*t^7.43)/g2 + (2*t^7.51)/(g1^3*g2^13) + g1^24*t^7.54 + t^7.59/(g1^7*g2^25) + (g1^20*t^7.62)/g2^12 + 3*g1*g2^15*t^7.64 + (g1^16*t^7.71)/g2^24 + (g1^12*t^7.79)/g2^36 + 2*g1^20*g2^4*t^7.83 + (g1^18*t^7.88)/g2^2 + (2*g1^16*t^7.92)/g2^8 + (2*g2^19*t^7.94)/g1^3 + (2*g1^12*t^8.)/g2^20 - (g2^7*t^8.02)/g1^7 + (g1^8*t^8.09)/g2^32 - t^8.1/(g1^11*g2^5) + 3*g1^16*g2^8*t^8.13 + 2*g1^14*g2^2*t^8.17 + (g1^12*t^8.21)/g2^4 + (g2^23*t^8.23)/g1^7 + (2*g1^10*t^8.26)/g2^10 + (g1^8*t^8.3)/g2^16 - (g2^11*t^8.32)/g1^11 + (g1^6*t^8.34)/g2^22 + 3*g1^12*g2^12*t^8.43 + 4*g1^10*g2^6*t^8.47 - 4*g1^8*t^8.51 + (3*g1^6*t^8.55)/g2^6 - (4*g1^4*t^8.6)/g2^12 + (2*g1^2*t^8.64)/g2^18 - t^8.68/g2^24 + g1^8*g2^16*t^8.72 + 5*g1^6*g2^10*t^8.77 - 9*g1^4*g2^4*t^8.81 + (3*g1^2*t^8.85)/g2^2 - (6*t^8.89)/g2^8 + t^8.94/(g1^2*g2^14) + (g1^25*t^8.96)/g2 - (2*t^8.98)/(g1^4*g2^20) - (g1*t^4.43)/(g2*y) - (g1^9*t^6.94)/(g2*y) - (g1^5*t^7.02)/(g2^13*y) - (g1^5*g2^3*t^7.23)/y + t^7.62/(g1^3*g2^5*y) + (g2^11*t^7.83)/(g1^3*y) + t^7.91/(g1^7*g2*y) + (g1^12*t^8.11)/(g2^12*y) + (2*g1^12*g2^4*t^8.32)/y + (3*g1^8*t^8.41)/(g2^8*y) + (g1^4*t^8.49)/(g2^20*y) + (2*g1^8*g2^8*t^8.62)/y + (g1^6*g2^2*t^8.66)/y + (3*g1^4*t^8.7)/(g2^4*y) + (g1^2*t^8.75)/(g2^10*y) + (2*g1^4*g2^12*t^8.92)/y + (2*g1^2*g2^6*t^8.96)/y - (g1*t^4.43*y)/g2 - (g1^9*t^6.94*y)/g2 - (g1^5*t^7.02*y)/g2^13 - g1^5*g2^3*t^7.23*y + (t^7.62*y)/(g1^3*g2^5) + (g2^11*t^7.83*y)/g1^3 + (t^7.91*y)/(g1^7*g2) + (g1^12*t^8.11*y)/g2^12 + 2*g1^12*g2^4*t^8.32*y + (3*g1^8*t^8.41*y)/g2^8 + (g1^4*t^8.49*y)/g2^20 + 2*g1^8*g2^8*t^8.62*y + g1^6*g2^2*t^8.66*y + (3*g1^4*t^8.7*y)/g2^4 + (g1^2*t^8.75*y)/g2^10 + 2*g1^4*g2^12*t^8.92*y + 2*g1^2*g2^6*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 4395 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7346 | 0.9221 | 0.7967 | [X:[], M:[0.843, 1.0481, 1.0609, 0.9647, 0.9391, 1.0353, 0.8686, 0.9391, 0.6811], q:[0.6138, 0.5432], qb:[0.4215, 0.5176], phi:[0.476]] | t^2.04 + t^2.53 + t^2.61 + 2*t^2.82 + t^2.89 + t^3.11 + t^3.14 + t^4.09 + t^4.25 + t^4.32 + 2*t^4.53 + t^4.57 + t^4.61 + t^4.65 + t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + t^4.94 + t^5.06 + t^5.11 + t^5.13 + t^5.15 + t^5.19 + t^5.21 + 2*t^5.35 + 2*t^5.42 + t^5.5 + 3*t^5.63 + t^5.67 + t^5.71 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1333 | 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_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ | 0.709 | 0.8723 | 0.8128 | [X:[], M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]] | t^2.59 + t^2.6 + t^2.86 + t^2.87 + t^3.13 + 2*t^3.14 + t^4.03 + t^4.29 + t^4.3 + t^4.54 + t^4.56 + 2*t^4.58 + t^4.83 + t^4.85 + t^5.12 + t^5.17 + t^5.19 + t^5.2 + t^5.44 + t^5.46 + t^5.47 + t^5.71 + t^5.72 + t^5.73 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.43/y - t^4.43*y | detail |