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 |
|---|---|---|---|---|---|---|---|---|---|
| 46192 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ | 0.6432 | 0.8469 | 0.7595 | [X:[], M:[0.7588, 0.7412, 0.7412], q:[0.75, 0.4912], qb:[0.25, 0.5088], phi:[0.5]] | [X:[], M:[[1], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1^2q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1^3$, $ \phi_1^2\tilde{q}_1^4$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | 5 | 3*t^2.22 + 2*t^2.28 + 4*t^3. + t^3.72 + 7*t^4.45 + 7*t^4.5 + 4*t^4.55 + 11*t^5.22 + 7*t^5.28 + 2*t^5.95 + 5*t^6. - t^6.05 + 13*t^6.67 + 14*t^6.72 + 7*t^6.78 + 6*t^6.83 + 22*t^7.45 + 15*t^7.5 + 10*t^7.55 + 4*t^8.17 + 6*t^8.22 - t^8.28 - 2*t^8.33 + 22*t^8.89 + 22*t^8.95 - t^4.5/y - (2*t^6.72)/y - t^6.78/y + (3*t^7.45)/y + (6*t^7.5)/y + t^7.55/y + (13*t^8.22)/y + (10*t^8.28)/y - t^4.5*y - 2*t^6.72*y - t^6.78*y + 3*t^7.45*y + 6*t^7.5*y + t^7.55*y + 13*t^8.22*y + 10*t^8.28*y | (3*t^2.22)/g1 + 2*g1*t^2.28 + 4*t^3. + t^3.72/g1 + (7*t^4.45)/g1^2 + 7*t^4.5 + 4*g1^2*t^4.55 + (11*t^5.22)/g1 + 7*g1*t^5.28 + (2*t^5.95)/g1^2 + 5*t^6. - g1^2*t^6.05 + (13*t^6.67)/g1^3 + (14*t^6.72)/g1 + 7*g1*t^6.78 + 6*g1^3*t^6.83 + (22*t^7.45)/g1^2 + 15*t^7.5 + 10*g1^2*t^7.55 + (4*t^8.17)/g1^3 + (6*t^8.22)/g1 - g1*t^8.28 - 2*g1^3*t^8.33 + (22*t^8.89)/g1^4 + (22*t^8.95)/g1^2 - t^4.5/y - (2*t^6.72)/(g1*y) - (g1*t^6.78)/y + (3*t^7.45)/(g1^2*y) + (6*t^7.5)/y + (g1^2*t^7.55)/y + (13*t^8.22)/(g1*y) + (10*g1*t^8.28)/y - t^4.5*y - (2*t^6.72*y)/g1 - g1*t^6.78*y + (3*t^7.45*y)/g1^2 + 6*t^7.5*y + g1^2*t^7.55*y + (13*t^8.22*y)/g1 + 10*g1*t^8.28*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 |
|---|---|---|---|---|---|---|---|---|
| 46604 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6621 | 0.8809 | 0.7517 | [X:[], M:[0.75, 0.75, 0.75, 0.75], q:[0.75, 0.5], qb:[0.25, 0.5], phi:[0.5]] | 6*t^2.25 + 4*t^3. + 24*t^4.5 + 22*t^5.25 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 339/512, c: 451/512, M1: 3/4, M2: 3/4, M3: 3/4, M4: 3/4, q1: 3/4, q2: 1/2, qb1: 1/4, qb2: 1/2, 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45954 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2q_2\tilde{q}_2$ | 0.624 | 0.8115 | 0.769 | [X:[], M:[0.75, 0.75], q:[0.75, 0.5], qb:[0.25, 0.5], phi:[0.5]] | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 639/1024, c: 831/1024, M1: 3/4, M2: 3/4, q1: 3/4, q2: 1/2, qb1: 1/4, qb2: 1/2, phi1: 1/2} |