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 |
|---|---|---|---|---|---|---|---|---|---|
| 46620 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3X_1$ | 0.6491 | 0.8288 | 0.7832 | [X:[1.375], M:[0.875, 0.75, 0.625], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10635/16384, c: 13579/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_2\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 4 | 2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 6*t^4.88 + 8*t^5.25 + 3*t^5.62 + 4*t^6. + 8*t^6.38 + 10*t^6.75 + 9*t^7.12 + 14*t^7.5 + 14*t^7.88 + 7*t^8.25 + 5*t^8.62 - t^4.5/y - t^6.75/y - t^7.12/y + t^7.5/y + (7*t^7.88)/y + (6*t^8.25)/y + (5*t^8.62)/y - t^4.5*y - t^6.75*y - t^7.12*y + t^7.5*y + 7*t^7.88*y + 6*t^8.25*y + 5*t^8.62*y | 2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 6*t^4.88 + 8*t^5.25 + 3*t^5.62 + 4*t^6. + 8*t^6.38 + 10*t^6.75 + 9*t^7.12 + 14*t^7.5 + 14*t^7.88 + 7*t^8.25 + 5*t^8.62 - t^4.5/y - t^6.75/y - t^7.12/y + t^7.5/y + (7*t^7.88)/y + (6*t^8.25)/y + (5*t^8.62)/y - t^4.5*y - t^6.75*y - t^7.12*y + t^7.5*y + 7*t^7.88*y + 6*t^8.25*y + 5*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 47048 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3X_1$ + $ M_4q_1\tilde{q}_2$ | 0.6682 | 0.8635 | 0.7738 | [X:[1.375], M:[0.875, 0.75, 0.625, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 3*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 9*t^4.88 + 9*t^5.25 + 4*t^5.62 + 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10947/16384, c: 14147/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, M4: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46319 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ | 0.6763 | 0.877 | 0.7712 | [X:[], M:[0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + 2*t^2.37 + 2*t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + 2*t^4.42 + 2*t^4.5 + 4*t^4.73 + 4*t^4.82 + 3*t^4.9 + 3*t^5.05 + 2*t^5.13 + 4*t^5.37 + 2*t^5.45 + 3*t^5.68 + t^5.77 - t^4.5/y - t^4.5*y | detail |