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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ | 0.6615 | 0.8252 | 0.8016 | [M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | [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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{2}M_{3}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 5*t^5.143 + 4*t^5.429 + 2*t^5.714 - t^6. + 4*t^6.286 + 8*t^6.571 + 7*t^6.857 + 5*t^7.143 + t^7.429 + 9*t^7.714 + 11*t^8. + 3*t^8.286 + 2*t^8.571 - t^4.429/y - t^6.714/y - t^7.286/y + t^7.571/y + (2*t^7.857)/y + (4*t^8.143)/y + (4*t^8.429)/y + (2*t^8.714)/y - t^4.429*y - t^6.714*y - t^7.286*y + t^7.571*y + 2*t^7.857*y + 4*t^8.143*y + 4*t^8.429*y + 2*t^8.714*y | t^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 5*t^5.143 + 4*t^5.429 + 2*t^5.714 - t^6. + 4*t^6.286 + 8*t^6.571 + 7*t^6.857 + 5*t^7.143 + t^7.429 + 9*t^7.714 + 11*t^8. + 3*t^8.286 + 2*t^8.571 - t^4.429/y - t^6.714/y - t^7.286/y + t^7.571/y + (2*t^7.857)/y + (4*t^8.143)/y + (4*t^8.429)/y + (2*t^8.714)/y - t^4.429*y - t^6.714*y - t^7.286*y + t^7.571*y + 2*t^7.857*y + 4*t^8.143*y + 4*t^8.429*y + 2*t^8.714*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6741 | 0.8467 | 0.7961 | [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^2.286 + 3*t^2.571 + 2*t^2.857 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 3*t^4.857 + 8*t^5.143 + 6*t^5.429 + t^5.714 - 3*t^6. - t^4.429/y - t^4.429*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}M_{6}$ | 0.6489 | 0.8037 | 0.8074 | [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^2.286 + t^2.571 + 2*t^2.857 + 2*t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{6}$ | 0.643 | 0.7918 | 0.8121 | [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^2.571 + 2*t^2.857 + t^3.429 + 3*t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^5.143 + 4*t^5.429 + t^5.714 - 3*t^6. - t^4.429/y - t^4.429*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.68 | 0.8586 | 0.792 | [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^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 7*t^5.143 + 4*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6571 | 0.8178 | 0.8035 | [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^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 4*t^5.143 + 3*t^5.429 + 2*t^5.714 - t^4.429/y - t^4.429*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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6754 | 0.8386 | 0.8054 | [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^2.331 + 2*t^2.503 + t^2.675 + t^3.018 + t^3.154 + t^3.669 + t^3.84 + t^4.012 + t^4.148 + t^4.319 + t^4.491 + t^4.663 + 2*t^4.834 + t^4.97 + 4*t^5.006 + 2*t^5.178 + t^5.349 + t^5.485 + t^5.521 + 2*t^5.657 + t^5.692 - 2*t^6. - t^4.337/y - t^4.337*y | detail |