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 |
|---|---|---|---|---|---|---|---|---|---|
| 55064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ | 0.6615 | 0.8252 | 0.8016 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10891/16464, c: 6793/8232, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | $M_2M_3$, $ M_4\tilde{q}_1\tilde{q}_2$ | -1 | t^2.29 + 2*t^2.57 + 2*t^2.86 + t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 2*t^4.86 + 5*t^5.14 + 4*t^5.43 + 2*t^5.71 - t^6. + 4*t^6.29 + 8*t^6.57 + 7*t^6.86 + 5*t^7.14 + t^7.43 + 9*t^7.71 + 11*t^8. + 3*t^8.29 + 2*t^8.57 - t^4.43/y - t^6.71/y - t^7.29/y + t^7.57/y + (2*t^7.86)/y + (4*t^8.14)/y + (4*t^8.43)/y + (2*t^8.71)/y - t^4.43*y - t^6.71*y - t^7.29*y + t^7.57*y + 2*t^7.86*y + 4*t^8.14*y + 4*t^8.43*y + 2*t^8.71*y | t^2.29 + 2*t^2.57 + 2*t^2.86 + t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 2*t^4.86 + 5*t^5.14 + 4*t^5.43 + 2*t^5.71 - t^6. + 4*t^6.29 + 8*t^6.57 + 7*t^6.86 + 5*t^7.14 + t^7.43 + 9*t^7.71 + 11*t^8. + 3*t^8.29 + 2*t^8.57 - t^4.43/y - t^6.71/y - t^7.29/y + t^7.57/y + (2*t^7.86)/y + (4*t^8.14)/y + (4*t^8.43)/y + (2*t^8.71)/y - t^4.43*y - t^6.71*y - t^7.29*y + t^7.57*y + 2*t^7.86*y + 4*t^8.14*y + 4*t^8.43*y + 2*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 56671 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ + $ M_2M_6$ | 0.6741 | 0.8467 | 0.7961 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571, 0.8571], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + 3*t^2.57 + 2*t^2.86 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 3*t^4.86 + 8*t^5.14 + 6*t^5.43 + t^5.71 - 3*t^6. - t^4.43/y - t^4.43*y | detail | {a: 5549/8232, c: 3485/4116, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, M6: 6/7, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 56667 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ + $ M_3M_6$ | 0.6489 | 0.8037 | 0.8074 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571, 1.1429], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + t^2.57 + 2*t^2.86 + 2*t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + t^4.86 + 3*t^5.14 + 2*t^5.43 + 3*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 2671/4116, c: 827/1029, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, M6: 8/7, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 56665 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ + $ M_4M_6$ | 0.643 | 0.7918 | 0.8121 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571, 1.2381], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | 2*t^2.57 + 2*t^2.86 + t^3.43 + 3*t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^5.14 + 4*t^5.43 + t^5.71 - 3*t^6. - t^4.43/y - t^4.43*y | detail | {a: 5293/8232, c: 3259/4116, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, M6: 26/21, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 56672 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ | 0.68 | 0.8586 | 0.792 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571, 0.7619], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | 2*t^2.29 + 2*t^2.57 + 2*t^2.86 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 7*t^5.14 + 4*t^5.43 + 3*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 933/1372, c: 589/686, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, M6: 16/21, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 56670 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.6571 | 0.8178 | 0.8035 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571, 1.0476], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 2*t^4.86 + 4*t^5.14 + 3*t^5.43 + 2*t^5.71 - t^4.43/y - t^4.43*y | detail | {a: 1803/2744, c: 561/686, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, M6: 22/21, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46934 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ | 0.6754 | 0.8386 | 0.8054 | [X:[], M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | t^2.33 + 2*t^2.5 + t^2.67 + t^3.02 + t^3.15 + t^3.67 + t^3.84 + t^4.01 + t^4.15 + t^4.32 + t^4.49 + t^4.66 + 2*t^4.83 + t^4.97 + 4*t^5.01 + 2*t^5.18 + t^5.35 + t^5.49 + t^5.52 + 2*t^5.66 + t^5.69 - 2*t^6. - t^4.34/y - t^4.34*y | detail |