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 |
|---|---|---|---|---|---|---|---|---|---|
| 4044 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_4q_1q_2$ + $ M_3X_1$ + $ M_4M_7$ | 0.5458 | 0.6786 | 0.8043 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 1.125], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 8943/16384, c: 11119/16384, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 9/8, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_7$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_5q_1q_2$ | $M_1q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 3 | 3*t^2.25 + t^3. + 2*t^3.38 + 2*t^3.75 + 5*t^4.5 + t^4.88 + 4*t^5.25 + 2*t^5.62 + 3*t^6. + 2*t^6.38 + 9*t^6.75 + t^7.12 + 5*t^7.5 + 2*t^7.88 + 2*t^8.25 + t^8.62 - t^4.12/y - (2*t^6.38)/y + (3*t^7.5)/y + (2*t^7.88)/y + (3*t^8.25)/y + (3*t^8.62)/y - t^4.12*y - 2*t^6.38*y + 3*t^7.5*y + 2*t^7.88*y + 3*t^8.25*y + 3*t^8.62*y | 3*t^2.25 + t^3. + 2*t^3.38 + 2*t^3.75 + 5*t^4.5 + t^4.88 + 4*t^5.25 + 2*t^5.62 + 3*t^6. + 2*t^6.38 + 9*t^6.75 + t^7.12 + 5*t^7.5 + 2*t^7.88 + 2*t^8.25 + t^8.62 - t^4.12/y - (2*t^6.38)/y + (3*t^7.5)/y + (2*t^7.88)/y + (3*t^8.25)/y + (3*t^8.62)/y - t^4.12*y - 2*t^6.38*y + 3*t^7.5*y + 2*t^7.88*y + 3*t^8.25*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5599 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_4q_1q_2$ + $ M_3X_1$ + $ M_4M_7$ + $ M_1M_8$ | 0.5268 | 0.644 | 0.818 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 1.125, 1.25], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | 2*t^2.25 + t^3. + 2*t^3.38 + 3*t^3.75 + 2*t^4.5 + t^4.88 + 3*t^5.25 + 3*t^6. - t^4.12/y - t^4.12*y | detail | {a: 8631/16384, c: 10551/16384, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 9/8, M8: 5/4, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1649 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_4q_1q_2$ + $ M_3X_1$ | 0.557 | 0.6976 | 0.7984 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | 3*t^2.25 + t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 5*t^4.5 + 4*t^4.88 + 5*t^5.25 + 4*t^6. - t^4.12/y - t^4.12*y | detail | {a: 4563/8192, c: 5715/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |