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 |
|---|---|---|---|---|---|---|---|---|---|
| 46844 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.6649 | 0.8602 | 0.7729 | [X:[], M:[1.125, 0.75, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10893/16384, c: 14093/16384, M1: 9/8, M2: 3/4, M3: 3/4, M4: 3/4, 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 |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_1M_4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 2 | 4*t^2.25 + t^2.62 + t^3. + 3*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 4*t^4.88 + 5*t^5.25 + 11*t^5.62 + 2*t^6. + 6*t^6.38 + 27*t^6.75 + 8*t^7.12 + 12*t^7.5 + 24*t^7.88 + t^8.25 + 10*t^8.62 - t^4.5/y - (3*t^6.75)/y + t^7.12/y + (6*t^7.5)/y + (3*t^7.88)/y + (7*t^8.25)/y + (13*t^8.62)/y - t^4.5*y - 3*t^6.75*y + t^7.12*y + 6*t^7.5*y + 3*t^7.88*y + 7*t^8.25*y + 13*t^8.62*y | 4*t^2.25 + t^2.62 + t^3. + 3*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 4*t^4.88 + 5*t^5.25 + 11*t^5.62 + 2*t^6. + 6*t^6.38 + 27*t^6.75 + 8*t^7.12 + 12*t^7.5 + 24*t^7.88 + t^8.25 + 10*t^8.62 - t^4.5/y - (3*t^6.75)/y + t^7.12/y + (6*t^7.5)/y + (3*t^7.88)/y + (7*t^8.25)/y + (13*t^8.62)/y - t^4.5*y - 3*t^6.75*y + t^7.12*y + 6*t^7.5*y + 3*t^7.88*y + 7*t^8.25*y + 13*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 |
|---|---|---|---|---|---|---|---|---|
| 55329 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6839 | 0.8948 | 0.7643 | [X:[], M:[1.125, 0.75, 0.75, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 5*t^2.25 + t^2.62 + t^3. + 3*t^3.38 + 2*t^4.12 + 16*t^4.5 + 5*t^4.88 + 6*t^5.25 + 14*t^5.62 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 11205/16384, c: 14661/16384, M1: 9/8, M2: 3/4, M3: 3/4, M4: 3/4, M5: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46658 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_4\phi_1q_2^2$ | 0.6772 | 0.8843 | 0.7658 | [X:[], M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4128, 0.4244], phi:[0.5]] | 3*t^2.02 + t^2.48 + t^2.51 + t^3. + 3*t^3.49 + t^3.52 + 2*t^4.01 + 7*t^4.05 + 3*t^4.5 + 3*t^4.53 + t^4.95 + t^4.99 + 4*t^5.02 + t^5.48 + 10*t^5.51 + 3*t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail |