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 |
|---|---|---|---|---|---|---|---|---|---|
| 227 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] | [X:[], M:[[0, 0, 0], [0, -4, -4], [1, -4, 0], [-1, 0, -4]], q:[[-1, 0, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | $M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - 2*t^6.42 + 3*t^6.45 + t^6.48 + 2*t^6.84 + 9*t^6.87 + 3*t^6.9 + 11*t^7.29 + 7*t^7.32 + 8*t^7.71 + 11*t^7.74 - 4*t^8.16 - t^8.55 - 6*t^8.58 + 3*t^8.61 + t^8.63 - t^4.29/y - t^6.45/y - (3*t^6.87)/y + (3*t^7.71)/y + (3*t^7.74)/y + t^8.13/y + (4*t^8.16)/y + (5*t^8.58)/y - t^8.61/y - t^4.29*y - t^6.45*y - 3*t^6.87*y + 3*t^7.71*y + 3*t^7.74*y + t^8.13*y + 4*t^8.16*y + 5*t^8.58*y - t^8.61*y | t^2.16/(g2^4*g3^4) + (g1*t^2.58)/g2^4 + t^2.58/(g1*g3^4) + t^2.58/(g2^2*g3^2) + t^3. + g1*g2^4*t^3.42 + (g3^4*t^3.42)/g1 + t^4.29/(g2*g3) + t^4.29/(g1^2*g2*g3) + (g1^2*t^4.29)/(g2*g3) + t^4.32/(g2^8*g3^8) + (g2^3*t^4.71)/(g1*g3) + (g1*g2^3*t^4.71)/g3 + (g3^3*t^4.71)/(g1*g2) + (g1*g3^3*t^4.71)/g2 + t^4.74/(g1*g2^4*g3^8) + t^4.74/(g2^6*g3^6) + (g1*t^4.74)/(g2^8*g3^4) + (g2^7*t^5.13)/g3 + g2^3*g3^3*t^5.13 + (g3^7*t^5.13)/g2 + (g1^2*t^5.16)/g2^8 + t^5.16/(g1^2*g3^8) + t^5.16/(g1*g2^2*g3^6) + (3*t^5.16)/(g2^4*g3^4) + (g1*t^5.16)/(g2^6*g3^2) + t^5.58/(g2^2*g3^2) - 3*t^6. + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) - (g2^4*t^6.42)/g1 - g1*g3^4*t^6.42 + t^6.45/(g2^5*g3^5) + t^6.45/(g1^2*g2^5*g3^5) + (g1^2*t^6.45)/(g2^5*g3^5) + t^6.48/(g2^12*g3^12) + g1^2*g2^8*t^6.84 + (g3^8*t^6.84)/g1^2 + t^6.87/(g1^3*g2*g3^5) + t^6.87/(g1*g2*g3^5) + (g1*t^6.87)/(g2*g3^5) + t^6.87/(g2^3*g3^3) + t^6.87/(g1^2*g2^3*g3^3) + (g1^2*t^6.87)/(g2^3*g3^3) + t^6.87/(g1*g2^5*g3) + (g1*t^6.87)/(g2^5*g3) + (g1^3*t^6.87)/(g2^5*g3) + t^6.9/(g1*g2^8*g3^12) + t^6.9/(g2^10*g3^10) + (g1*t^6.9)/(g2^12*g3^8) + (g2^3*t^7.29)/g3^5 + (g2^3*t^7.29)/(g1^2*g3^5) + (g2*t^7.29)/(g1*g3^3) + (g1*g2*t^7.29)/g3^3 + t^7.29/(g2*g3) + t^7.29/(g1^2*g2*g3) + (g1^2*t^7.29)/(g2*g3) + (g3*t^7.29)/(g1*g2^3) + (g1*g3*t^7.29)/g2^3 + (g3^3*t^7.29)/g2^5 + (g1^2*g3^3*t^7.29)/g2^5 + t^7.32/(g1^2*g2^4*g3^12) + t^7.32/(g1*g2^6*g3^10) + (3*t^7.32)/(g2^8*g3^8) + (g1*t^7.32)/(g2^10*g3^6) + (g1^2*t^7.32)/(g2^12*g3^4) + (g2^7*t^7.71)/(g1*g3^5) + (g2^5*t^7.71)/g3^3 + (g2^3*t^7.71)/(g1*g3) + (g1*g2^3*t^7.71)/g3 + (g1^3*g2^3*t^7.71)/g3 - (g2*g3*t^7.71)/g1^2 - g1^2*g2*g3*t^7.71 + (g3^3*t^7.71)/(g1^3*g2) + (g3^3*t^7.71)/(g1*g2) + (g1*g3^3*t^7.71)/g2 + (g3^5*t^7.71)/g2^3 + (g1*g3^7*t^7.71)/g2^5 + (g1^3*t^7.74)/g2^12 + t^7.74/(g1^3*g3^12) + t^7.74/(g1^2*g2^2*g3^10) + (2*t^7.74)/(g1*g2^4*g3^8) + (3*t^7.74)/(g2^6*g3^6) + (2*g1*t^7.74)/(g2^8*g3^4) + (g1^2*t^7.74)/(g2^10*g3^2) + (g2^7*t^8.13)/g3 + (g1^2*g2^7*t^8.13)/g3 - (g2^5*g3*t^8.13)/g1 - g1*g2^5*g3*t^8.13 - (g2*g3^5*t^8.13)/g1 - g1*g2*g3^5*t^8.13 + (g3^7*t^8.13)/g2 + (g3^7*t^8.13)/(g1^2*g2) - (2*t^8.16)/(g2^4*g3^4) - t^8.16/(g1^2*g2^4*g3^4) - (g1^2*t^8.16)/(g2^4*g3^4) + (g1*g2^11*t^8.55)/g3 - g2^9*g3*t^8.55 - g2^5*g3^5*t^8.55 - g2*g3^9*t^8.55 + (g3^11*t^8.55)/(g1*g2) - (4*g1*t^8.58)/g2^4 - (4*t^8.58)/(g1*g3^4) - (2*t^8.58)/(g2^2*g3^2) + t^8.58/(g1^4*g2^2*g3^2) + t^8.58/(g1^2*g2^2*g3^2) + (g1^2*t^8.58)/(g2^2*g3^2) + (g1^4*t^8.58)/(g2^2*g3^2) + t^8.61/(g2^9*g3^9) + t^8.61/(g1^2*g2^9*g3^9) + (g1^2*t^8.61)/(g2^9*g3^9) + t^8.63/(g2^16*g3^16) - t^4.29/(g2*g3*y) - t^6.45/(g2^5*g3^5*y) - t^6.87/(g1*g2*g3^5*y) - t^6.87/(g2^3*g3^3*y) - (g1*t^6.87)/(g2^5*g3*y) + (g2^3*t^7.71)/(g1*g3*y) + (g2*g3*t^7.71)/y + (g1*g3^3*t^7.71)/(g2*y) + t^7.74/(g1*g2^4*g3^8*y) + t^7.74/(g2^6*g3^6*y) + (g1*t^7.74)/(g2^8*g3^4*y) + (g2^3*g3^3*t^8.13)/y + t^8.16/(g1*g2^2*g3^6*y) + (2*t^8.16)/(g2^4*g3^4*y) + (g1*t^8.16)/(g2^6*g3^2*y) + t^8.58/(g1*g2^4*y) + (g1*t^8.58)/(g2^4*y) + t^8.58/(g1*g3^4*y) + (g1*t^8.58)/(g3^4*y) + t^8.58/(g2^2*g3^2*y) - t^8.61/(g2^9*g3^9*y) - (t^4.29*y)/(g2*g3) - (t^6.45*y)/(g2^5*g3^5) - (t^6.87*y)/(g1*g2*g3^5) - (t^6.87*y)/(g2^3*g3^3) - (g1*t^6.87*y)/(g2^5*g3) + (g2^3*t^7.71*y)/(g1*g3) + g2*g3*t^7.71*y + (g1*g3^3*t^7.71*y)/g2 + (t^7.74*y)/(g1*g2^4*g3^8) + (t^7.74*y)/(g2^6*g3^6) + (g1*t^7.74*y)/(g2^8*g3^4) + g2^3*g3^3*t^8.13*y + (t^8.16*y)/(g1*g2^2*g3^6) + (2*t^8.16*y)/(g2^4*g3^4) + (g1*t^8.16*y)/(g2^6*g3^2) + (t^8.58*y)/(g1*g2^4) + (g1*t^8.58*y)/g2^4 + (t^8.58*y)/(g1*g3^4) + (g1*t^8.58*y)/g3^4 + (t^8.58*y)/(g2^2*g3^2) - (t^8.61*y)/(g2^9*g3^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 363 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 362 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 364 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ | 0.7111 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.48 + t^2.65 + t^2.83 + t^3. + t^3.15 + t^3.17 + t^3.19 + t^4.09 + t^4.24 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.74 + t^4.76 + t^4.93 + t^4.96 + t^5.13 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.65 + t^5.83 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 138 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. - t^4.16/y - t^4.16*y | detail |