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 |
|---|---|---|---|---|---|---|---|---|---|
| 7 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | [X:[[0, 2]], M:[[2, -7], [-2, 1]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ X_1$, $ M_1q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$ | . | -2 | 2*t^2.14+t^3.15+t^3.86+3*t^4.27+t^4.58+2*t^5.29-2*t^6.+t^6.3+4*t^6.41-t^6.71+t^7.02+3*t^7.42+t^7.73-4*t^8.14+5*t^8.54-4*t^8.85-(2*t^8.85)/y^2-t^3.71/y-(2*t^5.85)/y+t^7.27/y+(2*t^7.58)/y-(3*t^7.98)/y+(2*t^8.29)/y-t^3.71*y-2*t^5.85*y+t^7.27*y+2*t^7.58*y-3*t^7.98*y+2*t^8.29*y-2*t^8.85*y^2 | (g1^2*t^2.14)/g2^7+(g2*t^2.14)/g1^2+g2^4*t^3.15+g2^3*t^3.86+(g1^4*t^4.27)/g2^14+t^4.27/g2^6+(g2^2*t^4.27)/g1^4+g2^2*t^4.58+(g1^2*t^5.29)/g2^3+(g2^5*t^5.29)/g1^2-2*t^6.+g2^8*t^6.3+(g1^6*t^6.41)/g2^21+(g1^2*t^6.41)/g2^13+t^6.41/(g1^2*g2^5)+(g2^3*t^6.41)/g1^6-t^6.71/g2+g2^7*t^7.02+(g1^4*t^7.42)/g2^10+t^7.42/g2^2+(g2^6*t^7.42)/g1^4+g2^6*t^7.73-(2*g1^2*t^8.14)/g2^7-(2*g2*t^8.14)/g1^2+(g1^8*t^8.54)/g2^28+(g1^4*t^8.54)/g2^20+t^8.54/g2^12+t^8.54/(g1^4*g2^4)+(g2^4*t^8.54)/g1^8-(2*t^8.85)/g1^2-(2*g1^2*t^8.85)/g2^8-t^8.85/(g1^2*y^2)-(g1^2*t^8.85)/(g2^8*y^2)-t^3.71/(g2*y)-t^5.85/(g1^2*y)-(g1^2*t^5.85)/(g2^8*y)+t^7.27/(g2^6*y)+(g1^2*t^7.58)/(g2^2*y)+(g2^6*t^7.58)/(g1^2*y)-(g1^4*t^7.98)/(g2^15*y)-t^7.98/(g2^7*y)-(g2*t^7.98)/(g1^4*y)+(g1^2*t^8.29)/(g2^3*y)+(g2^5*t^8.29)/(g1^2*y)-(t^3.71*y)/g2-(t^5.85*y)/g1^2-(g1^2*t^5.85*y)/g2^8+(t^7.27*y)/g2^6+(g1^2*t^7.58*y)/g2^2+(g2^6*t^7.58*y)/g1^2-(g1^4*t^7.98*y)/g2^15-(t^7.98*y)/g2^7-(g2*t^7.98*y)/g1^4+(g1^2*t^8.29*y)/g2^3+(g2^5*t^8.29*y)/g1^2-(t^8.85*y^2)/g1^2-(g1^2*t^8.85*y^2)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 17 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | 3*t^2.11+t^3.18+6*t^4.22+t^4.59+3*t^5.3-4*t^6.-t^3.7/y-(3*t^5.82)/y-t^3.7*y-3*t^5.82*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 |
|---|---|---|---|---|---|---|---|---|---|
| 104 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]] | 2*t^2.14+t^3.15+t^3.86+3*t^4.27+t^4.58+2*t^5.29-2*t^6.-t^3.71/y-(2*t^5.85)/y-t^3.71*y-2*t^5.85*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12+t^3.08+t^3.74+t^3.81+t^4.23+t^4.54+t^5.2+t^5.85-2*t^6.-t^3.73/y-t^5.85/y-t^3.73*y-t^5.85*y | detail |