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 |
|---|---|---|---|---|---|---|---|---|---|
| 55667 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211, 1.1789], qb:[0.8211, 0.4632, 0.4632], phi:[0.3578]] | [X:[], M:[], q:[[-1, 1, 1], [1, 0, 0], [-1, 0, 0]], qb:[[1, 0, 0], [0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_2^2\tilde{q}_3^2$ | $\phi_1\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_3$, $ \phi_1^3\tilde{q}_2\tilde{q}_3$, $ \phi_1^3\tilde{q}_3^2$ | -2 | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. + t^6.44 + 7*t^6.63 - 6*t^7.07 + 21*t^7.71 - t^8.15 + t^8.34 + t^8.59 - 3*t^8.78 - t^4.07/y - t^6.22/y + (2*t^7.93)/y - t^8.37/y - t^4.07*y - t^6.22*y + 2*t^7.93*y - t^8.37*y | t^2.15/(g2^2*g3^2) + g2^3*g3^3*t^2.78 + g1*g2^3*t^3.85 + (g2^5*t^3.85)/g3 + (g2^4*g3*t^3.85)/g1 + g2^2*g3^2*t^3.85 + g1*g3^3*t^3.85 + (g2*g3^4*t^3.85)/g1 + (g3^5*t^3.85)/g2 + t^4.29/(g2^4*g3^4) + 2*g2*g3*t^4.93 + g2^6*g3^6*t^5.56 - 2*t^6. + t^6.44/(g2^6*g3^6) + g2^8*g3^2*t^6.63 + g1*g2^6*g3^3*t^6.63 + (g2^7*g3^4*t^6.63)/g1 + g2^5*g3^5*t^6.63 + g1*g2^3*g3^6*t^6.63 + (g2^4*g3^7*t^6.63)/g1 + g2^2*g3^8*t^6.63 - (g1*t^7.07)/g2^3 - (g2^2*t^7.07)/g3^4 - (g1*t^7.07)/g3^3 - (g2*t^7.07)/(g1*g3^2) - (g3*t^7.07)/(g1*g2^2) - (g3^2*t^7.07)/g2^4 + g1^2*g2^6*t^7.71 + (g2^9*t^7.71)/g1 + (g2^10*t^7.71)/g3^2 + (g1*g2^8*t^7.71)/g3 + g2^7*g3*t^7.71 + g1*g2^5*g3^2*t^7.71 + (g2^8*g3^2*t^7.71)/g1^2 + g1^2*g2^3*g3^3*t^7.71 + (g2^6*g3^3*t^7.71)/g1 + 3*g2^4*g3^4*t^7.71 + g1*g2^2*g3^5*t^7.71 + (g2^5*g3^5*t^7.71)/g1^2 + g1^2*g3^6*t^7.71 + (g2^3*g3^6*t^7.71)/g1 + g2*g3^7*t^7.71 + (g1*g3^8*t^7.71)/g2 + (g2^2*g3^8*t^7.71)/g1^2 + (g3^9*t^7.71)/g1 + (g3^10*t^7.71)/g2^2 - t^8.15/(g2^2*g3^2) + g2^9*g3^9*t^8.34 + t^8.59/(g2^8*g3^8) - 3*g2^3*g3^3*t^8.78 - t^4.07/(g2*g3*y) - t^6.22/(g2^3*g3^3*y) + (2*g2*g3*t^7.93)/y - t^8.37/(g2^5*g3^5*y) - (t^4.07*y)/(g2*g3) - (t^6.22*y)/(g2^3*g3^3) + 2*g2*g3*t^7.93*y - (t^8.37*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 |
|---|---|---|---|---|---|---|---|---|
| 55723 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.81, 0.8347, 1.1653], qb:[0.8347, 0.4712, 0.463], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail | |
| 55736 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.8333, 0.8333, 1.1667], qb:[0.8333, 0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, q3: 7/6, qb1: 5/6, qb2: 1/2, qb3: 1/2, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55448 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ | 0.7103 | 0.8462 | 0.8394 | [X:[], M:[], q:[0.5651, 1.0, 1.0], qb:[0.5651, 0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. - t^4.3/y - t^4.3*y | detail |