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 |
|---|---|---|---|---|---|---|---|---|---|
| 47033 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | [X:[], M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, 2], [0, 2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$ | $M_3^2$, $ M_4^2$ | -3 | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*t^6. + 2*t^6.2 - 4*t^6.37 + 6*t^6.57 - 2*t^6.75 + 4*t^6.76 + 12*t^6.94 + 9*t^7.14 + 13*t^7.31 + 16*t^7.51 + 6*t^7.69 + 13*t^7.88 - 3*t^8.06 - 4*t^8.25 - 4*t^8.43 + 3*t^8.45 - 16*t^8.63 - 2*t^8.8 + 10*t^8.82 - t^4.31/y - (2*t^6.57)/y - (3*t^6.94)/y + t^7.51/y + (3*t^7.69)/y + (6*t^7.88)/y + (2*t^8.06)/y + (7*t^8.25)/y + (6*t^8.63)/y - (3*t^8.82)/y - t^4.31*y - 2*t^6.57*y - 3*t^6.94*y + t^7.51*y + 3*t^7.69*y + 6*t^7.88*y + 2*t^8.06*y + 7*t^8.25*y + 6*t^8.63*y - 3*t^8.82*y | (g2^3*t^2.25)/g1 + g1*g2^5*t^2.25 + 3*g2^2*t^2.63 + t^3./(g1*g2) + g1*g2*t^3. + g2^3*t^3.94 + t^4.31/g1 + g1*g2^2*t^4.31 + (g2^6*t^4.51)/g1^2 + g2^8*t^4.51 + g1^2*g2^10*t^4.51 + t^4.69/(g1^2*g2^3) + (2*t^4.69)/g2 + g1^2*g2*t^4.69 + (3*g2^5*t^4.88)/g1 + 3*g1*g2^7*t^4.88 + t^5.06/(g1*g2^4) + (g1*t^5.06)/g2^2 + (g2^2*t^5.25)/g1^2 + 7*g2^4*t^5.25 + g1^2*g2^6*t^5.25 + t^5.43/g2^5 + (g2*t^5.63)/g1 + g1*g2^3*t^5.63 - 3*t^6. + (g2^6*t^6.2)/g1 + g1*g2^8*t^6.2 - (2*t^6.37)/(g1*g2^3) - (2*g1*t^6.37)/g2 + (g2^3*t^6.57)/g1^2 + 4*g2^5*t^6.57 + g1^2*g2^7*t^6.57 - (2*t^6.75)/g2^4 + (g2^9*t^6.76)/g1^3 + (g2^11*t^6.76)/g1 + g1*g2^13*t^6.76 + g1^3*g2^15*t^6.76 + t^6.94/g1^3 + (5*g2^2*t^6.94)/g1 + 5*g1*g2^4*t^6.94 + g1^3*g2^6*t^6.94 + (3*g2^8*t^7.14)/g1^2 + 3*g2^10*t^7.14 + 3*g1^2*g2^12*t^7.14 + (4*t^7.31)/(g1^2*g2) + 5*g2*t^7.31 + 4*g1^2*g2^3*t^7.31 + (g2^5*t^7.51)/g1^3 + (7*g2^7*t^7.51)/g1 + 7*g1*g2^9*t^7.51 + g1^3*g2^11*t^7.51 + 2*g1*t^7.69 + t^7.69/(g1^3*g2^4) + (2*t^7.69)/(g1*g2^2) + g1^3*g2^2*t^7.69 + (g2^4*t^7.88)/g1^2 + 11*g2^6*t^7.88 + g1^2*g2^8*t^7.88 - t^8.06/(g1^2*g2^5) - t^8.06/g2^3 - (g1^2*t^8.06)/g2 - (2*g2^3*t^8.25)/g1 - 2*g1*g2^5*t^8.25 - (2*t^8.43)/(g1*g2^6) - (2*g1*t^8.43)/g2^4 + (g2^9*t^8.45)/g1^2 + g2^11*t^8.45 + g1^2*g2^13*t^8.45 - (2*t^8.63)/g1^2 - 12*g2^2*t^8.63 - 2*g1^2*g2^4*t^8.63 - (2*t^8.8)/g2^7 + (g2^6*t^8.82)/g1^3 + (4*g2^8*t^8.82)/g1 + 4*g1*g2^10*t^8.82 + g1^3*g2^12*t^8.82 - (g2*t^4.31)/y - (g2^4*t^6.57)/(g1*y) - (g1*g2^6*t^6.57)/y - (3*g2^3*t^6.94)/y + (g2^8*t^7.51)/y + (3*t^7.69)/(g2*y) + (3*g2^5*t^7.88)/(g1*y) + (3*g1*g2^7*t^7.88)/y + t^8.06/(g1*g2^4*y) + (g1*t^8.06)/(g2^2*y) + (g2^2*t^8.25)/(g1^2*y) + (5*g2^4*t^8.25)/y + (g1^2*g2^6*t^8.25)/y + (3*g2*t^8.63)/(g1*y) + (3*g1*g2^3*t^8.63)/y - (g2^7*t^8.82)/(g1^2*y) - (g2^9*t^8.82)/y - (g1^2*g2^11*t^8.82)/y - g2*t^4.31*y - (g2^4*t^6.57*y)/g1 - g1*g2^6*t^6.57*y - 3*g2^3*t^6.94*y + g2^8*t^7.51*y + (3*t^7.69*y)/g2 + (3*g2^5*t^7.88*y)/g1 + 3*g1*g2^7*t^7.88*y + (t^8.06*y)/(g1*g2^4) + (g1*t^8.06*y)/g2^2 + (g2^2*t^8.25*y)/g1^2 + 5*g2^4*t^8.25*y + g1^2*g2^6*t^8.25*y + (3*g2*t^8.63*y)/g1 + 3*g1*g2^3*t^8.63*y - (g2^7*t^8.82*y)/g1^2 - g2^9*t^8.82*y - g1^2*g2^11*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 50829 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_2^2$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.8326, 1.0, 1.0837, 0.9163, 0.9582, 0.9582], q:[0.5628, 0.6046], qb:[0.4372, 0.4791], phi:[0.4791]] | t^2.5 + t^2.75 + 3*t^2.87 + t^3. + t^3.25 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5. + t^5.06 + t^5.25 + 3*t^5.37 + t^5.5 + t^5.62 + 7*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 55308 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7683 | 0.9711 | 0.7912 | [X:[], M:[0.7551, 0.7551, 1.0, 1.0, 0.8775, 0.8775, 0.6837], q:[0.6837, 0.5612], qb:[0.5612, 0.4388], phi:[0.4388]] | t^2.05 + 2*t^2.27 + 3*t^2.63 + 2*t^3. + t^4.1 + 4*t^4.32 + 3*t^4.53 + 7*t^4.68 + 6*t^4.9 + 4*t^5.05 + 9*t^5.27 + t^5.42 + 2*t^5.63 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46521 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^3.99 + 2*t^4.33 + 3*t^4.63 + 4*t^4.67 + 4*t^4.98 + 2*t^5.01 + 6*t^5.32 + t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail |