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 |
|---|---|---|---|---|---|---|---|---|---|
| 55696 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ \phi_1^4$ | 0.6914 | 0.8477 | 0.8157 | [X:[], M:[], q:[0.5, 1.0, 1.0], qb:[0.5, 0.5, 0.5], phi:[0.5]] | [X:[], M:[], q:[[-1, -1, -1], [1, 1, 1], [-1, -1, -1]], qb:[[1, 0, 0], [0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 | {a: 177/256, c: 217/256, q1: 1/2, q2: 1, q3: 1, qb1: 1/2, qb2: 1/2, qb3: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_3\tilde{q}_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1q_3$, $ \phi_1\tilde{q}_2\tilde{q}_3$ | $\phi_1q_3\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1q_3\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1^2\tilde{q}_1\tilde{q}_3$, $ q_1^2\tilde{q}_1\tilde{q}_3$, $ q_1\tilde{q}_1^2\tilde{q}_3$, $ \phi_1^2\tilde{q}_2\tilde{q}_3$, $ q_1^2\tilde{q}_2\tilde{q}_3$, $ 2q_1\tilde{q}_1\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1^2\tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_2^2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2^2\tilde{q}_3$, $ q_1^2\tilde{q}_3^2$, $ q_1\tilde{q}_1\tilde{q}_3^2$, $ \tilde{q}_1^2\tilde{q}_3^2$, $ q_1\tilde{q}_2\tilde{q}_3^2$, $ \tilde{q}_1\tilde{q}_2\tilde{q}_3^2$, $ \tilde{q}_2^2\tilde{q}_3^2$ | 11 | 7*t^3. + 10*t^4.5 + 11*t^6. + 30*t^7.5 - t^4.5/y - t^4.5*y | t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^3./(g1*g3) + t^3./(g2*g3) + g1*g3*t^3. + g2*g3*t^3. + g1^2*t^4.5 + t^4.5/(g1*g2) + g1*g2*t^4.5 + g2^2*t^4.5 + t^4.5/(g1^2*g2^2*g3^2) + t^4.5/(g1*g3) + t^4.5/(g2*g3) + g1*g3*t^4.5 + g2*g3*t^4.5 + g3^2*t^4.5 - t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1^2*g3^2) + t^6./(g2^2*g3^2) + t^6./(g1*g3) + t^6./(g2*g3) + g1*g3*t^6. + g2*g3*t^6. + g1^2*g3^2*t^6. + g2^2*g3^2*t^6. + t^7.5/(g1^2*g2^2) + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + g1^3*g2*t^7.5 + g1^2*g2^2*t^7.5 + g1*g2^3*t^7.5 + t^7.5/(g1^2*g2^3*g3^3) + t^7.5/(g1^3*g2^2*g3^3) + t^7.5/(g1^2*g3^2) + t^7.5/(g1^3*g2^3*g3^2) + t^7.5/(g2^2*g3^2) + t^7.5/(g1*g2*g3^2) + (g1*t^7.5)/g3 + t^7.5/(g1*g2^2*g3) + t^7.5/(g1^2*g2*g3) + (g1^2*t^7.5)/(g2*g3) + (g2*t^7.5)/g3 + (g2^2*t^7.5)/(g1*g3) + (g3*t^7.5)/g1 + g1^3*g3*t^7.5 + (g3*t^7.5)/g2 + g1^2*g2*g3*t^7.5 + g1*g2^2*g3*t^7.5 + g2^3*g3*t^7.5 + g1^2*g3^2*t^7.5 + (g3^2*t^7.5)/(g1*g2) + g1*g2*g3^2*t^7.5 + g2^2*g3^2*t^7.5 + g1*g3^3*t^7.5 + g2*g3^3*t^7.5 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|
| 55820 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ \phi_1^4$ + $ q_1q_3$ | 0.6289 | 0.7852 | 0.801 | [X:[], M:[], q:[0.75, 0.75, 1.25], qb:[0.4167, 0.4167, 0.4167], phi:[0.5]] | 3*t^2.5 + t^3. + 3*t^3.5 + 6*t^4. + 6*t^5. + 3*t^5.5 - t^4.5/y - t^4.5*y | detail | {a: 161/256, c: 201/256, q1: 3/4, q2: 3/4, q3: 5/4, qb1: 5/12, qb2: 5/12, qb3: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 38 | SU2adj1nf2 | $\phi_1^4$ | 0.6914 | 0.8477 | 0.8157 | [X:[], M:[], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
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 |