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 |
|---|---|---|---|---|---|---|---|---|---|
| 50936 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.6467 | 0.8008 | 0.8075 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 97/150, c: 961/1200, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}M_{5}$ | 1 | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 2*t^6.6 + 3*t^6.8 + 2*t^7. + 7*t^7.2 + t^7.4 + 5*t^7.6 + 3*t^7.8 + 4*t^8. + 3*t^8.2 + 2*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.8/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 2*t^6.6 + 3*t^6.8 + 2*t^7. + 7*t^7.2 + t^7.4 + 5*t^7.6 + 3*t^7.8 + 4*t^8. + 3*t^8.2 + 2*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.8/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 56196 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6632 | 0.8298 | 0.7992 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.8], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 3*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 7*t^4.8 + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 3979/6000, c: 4979/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 4/5, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 56194 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6528 | 0.8112 | 0.8048 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.9333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 4*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 3917/6000, c: 4867/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 14/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 56197 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6663 | 0.8372 | 0.7959 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.7333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 4*t^4.8 + t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 1999/3000, c: 5023/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 11/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 56192 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6405 | 0.7905 | 0.8102 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8, 1.0667], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^3. + 2*t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + t^5.4 + 3*t^5.6 + t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1281/2000, c: 1581/2000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 16/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 56195 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6585 | 0.821 | 0.8021 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.8667], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 1317/2000, c: 821/1000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 13/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47256 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6577 | 0.8161 | 0.8059 | [M:[0.9156, 1.1325, 1.1004, 0.8675, 0.6987], q:[0.5262, 0.5582], qb:[0.3414, 0.7751], phi:[0.4498]] | t^2.096 + t^2.603 + t^2.699 + t^2.747 + t^3.301 + t^3.349 + t^3.397 + t^3.952 + t^4. + t^4.048 + t^4.192 + t^4.506 + t^4.603 + 2*t^4.699 + t^4.795 + t^4.843 + t^5.205 + t^5.301 + 2*t^5.397 + t^5.446 + 2*t^5.494 + t^5.952 - t^6. - t^4.349/y - t^4.349*y | detail |