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 |
|---|---|---|---|---|---|---|---|---|---|
| 1839 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3q_1q_2$ | 0.6266 | 0.7933 | 0.7899 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1925/3072, c: 2437/3072, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4q_1\tilde{q}_2$ | 1 | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 4*t^5.75 + t^6. + 3*t^6.25 + 5*t^6.5 + 8*t^6.75 + 6*t^7. + 3*t^7.25 + 6*t^7.5 + 6*t^7.75 + 7*t^8. + 2*t^8.25 + 4*t^8.5 + 5*t^8.75 - t^4.5/y - t^6.75/y + t^7.25/y + t^7.5/y + t^7.75/y + (3*t^8.25)/y + (5*t^8.5)/y + (6*t^8.75)/y - t^4.5*y - t^6.75*y + t^7.25*y + t^7.5*y + t^7.75*y + 3*t^8.25*y + 5*t^8.5*y + 6*t^8.75*y | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 4*t^5.75 + t^6. + 3*t^6.25 + 5*t^6.5 + 8*t^6.75 + 6*t^7. + 3*t^7.25 + 6*t^7.5 + 6*t^7.75 + 7*t^8. + 2*t^8.25 + 4*t^8.5 + 5*t^8.75 - t^4.5/y - t^6.75/y + t^7.25/y + t^7.5/y + t^7.75/y + (3*t^8.25)/y + (5*t^8.5)/y + (6*t^8.75)/y - t^4.5*y - t^6.75*y + t^7.25*y + t^7.5*y + t^7.75*y + 3*t^8.25*y + 5*t^8.5*y + 6*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 2859 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6076 | 0.7586 | 0.8009 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 1.25], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 3733/6144, c: 4661/6144, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 5/4, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 2862 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3q_1q_2$ + $ M_4M_5$ | 0.6123 | 0.7686 | 0.7967 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 1.1667], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^3. + 2*t^3.25 + 3*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^5.25 + 3*t^5.5 + 4*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 627/1024, c: 787/1024, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 7/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 2860 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3q_1q_2$ + $ M_5q_1q_2$ | 0.6457 | 0.828 | 0.7798 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.75], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 3*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + t^5. + 3*t^5.25 + 6*t^5.5 + 6*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 3967/6144, c: 5087/6144, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 3/4, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 - t^4.5/y - t^4.5*y | detail |