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 |
|---|---|---|---|---|---|---|---|---|---|
| 50 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6279 | 0.7568 | 0.8297 | [X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | [X:[], M:[[0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_1q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | 3 | 2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. + 4*t^6.37 + 6*t^6.69 - 3*t^7.06 + 15*t^7.75 + t^8.12 + t^8.44 + 5*t^8.5 + t^8.81 - t^4.06/y - (2*t^6.19)/y + t^7.25/y + (4*t^7.94)/y - (3*t^8.31)/y - t^4.06*y - 2*t^6.19*y + t^7.25*y + 4*t^7.94*y - 3*t^8.31*y | (2*t^2.12)/(g2^2*g3^2) + g2^3*g3^3*t^2.81 + g1*g2^3*t^3.88 + (g2^5*t^3.88)/g3 + (g2^4*g3*t^3.88)/g1 + g1*g3^3*t^3.88 + (g2*g3^4*t^3.88)/g1 + (g3^5*t^3.88)/g2 + (3*t^4.25)/(g2^4*g3^4) + 3*g2*g3*t^4.94 + g2^6*g3^6*t^5.63 - 3*t^6. + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (4*t^6.37)/(g2^6*g3^6) + g2^8*g3^2*t^6.69 + g1*g2^6*g3^3*t^6.69 + (g2^7*g3^4*t^6.69)/g1 + g1*g2^3*g3^6*t^6.69 + (g2^4*g3^7*t^6.69)/g1 + g2^2*g3^8*t^6.69 - (g1*t^7.06)/g2^3 - (g2^2*t^7.06)/g3^4 - (g1*t^7.06)/g3^3 - (g2*t^7.06)/(g1*g3^2) + (3*t^7.06)/(g2*g3) - (g3*t^7.06)/(g1*g2^2) - (g3^2*t^7.06)/g2^4 + g1^2*g2^6*t^7.75 + (g2^9*t^7.75)/g1 + (g2^10*t^7.75)/g3^2 + (g1*g2^8*t^7.75)/g3 + (g2^8*g3^2*t^7.75)/g1^2 + g1^2*g2^3*g3^3*t^7.75 + 3*g2^4*g3^4*t^7.75 + (g2^5*g3^5*t^7.75)/g1^2 + g1^2*g3^6*t^7.75 + (g1*g3^8*t^7.75)/g2 + (g2^2*g3^8*t^7.75)/g1^2 + (g3^9*t^7.75)/g1 + (g3^10*t^7.75)/g2^2 + t^8.12/(g1*g2^3) + (g2*t^8.12)/g3^5 + (g1*t^8.12)/(g2*g3^4) + t^8.12/(g1*g3^3) - (5*t^8.12)/(g2^2*g3^2) + (g1*t^8.12)/(g2^4*g3) + (g3*t^8.12)/g2^5 + g2^9*g3^9*t^8.44 + (5*t^8.5)/(g2^8*g3^8) + g2^6*t^8.81 + g1*g2^4*g3*t^8.81 + (g2^5*g3^2*t^8.81)/g1 - 5*g2^3*g3^3*t^8.81 + g1*g2*g3^4*t^8.81 + (g2^2*g3^5*t^8.81)/g1 + g3^6*t^8.81 - t^4.06/(g2*g3*y) - (2*t^6.19)/(g2^3*g3^3*y) + t^7.25/(g2^4*g3^4*y) + (4*g2*g3*t^7.94)/y - (3*t^8.31)/(g2^5*g3^5*y) - (t^4.06*y)/(g2*g3) - (2*t^6.19*y)/(g2^3*g3^3) + (t^7.25*y)/(g2^4*g3^4) + 4*g2*g3*t^7.94*y - (3*t^8.31*y)/(g2^5*g3^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45852 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*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 |
|---|---|---|---|---|---|---|---|---|---|
| 39 | SU2adj1nf2 | $\phi_1q_1q_2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |