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 |
|---|---|---|---|---|---|---|---|---|---|
| 47004 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6611 | 0.8139 | 0.8123 | [M:[0.8333, 1.0, 1.1667, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3427/5184, c: 4219/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.333 + t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 3*t^5. + t^5.167 + t^5.333 + t^5.5 + 2*t^5.667 + t^5.833 + 2*t^6.167 + 3*t^6.333 + 2*t^6.5 + 2*t^6.667 + 2*t^6.833 + 3*t^7. + 2*t^7.167 + 3*t^7.333 + 4*t^7.5 + 5*t^7.667 + t^7.833 + 4*t^8. + 3*t^8.167 + t^8.333 + t^8.5 + 2*t^8.667 + 3*t^8.833 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + t^7.833/y + (2*t^8.)/y + t^8.167/y + t^8.333/y + (2*t^8.5)/y + (2*t^8.667)/y + (2*t^8.833)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + t^7.833*y + 2*t^8.*y + t^8.167*y + t^8.333*y + 2*t^8.5*y + 2*t^8.667*y + 2*t^8.833*y | t^2.333 + t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 3*t^5. + t^5.167 + t^5.333 + t^5.5 + 2*t^5.667 + t^5.833 + 2*t^6.167 + 3*t^6.333 + 2*t^6.5 + 2*t^6.667 + 2*t^6.833 + 3*t^7. + 2*t^7.167 + 3*t^7.333 + 4*t^7.5 + 5*t^7.667 + t^7.833 + 4*t^8. + 3*t^8.167 + t^8.333 + t^8.5 + 2*t^8.667 + 3*t^8.833 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + t^7.833/y + (2*t^8.)/y + t^8.167/y + t^8.333/y + (2*t^8.5)/y + (2*t^8.667)/y + (2*t^8.833)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + t^7.833*y + 2*t^8.*y + t^8.167*y + t^8.333*y + 2*t^8.5*y + 2*t^8.667*y + 2*t^8.833*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 |
|---|---|---|---|---|---|---|---|---|
| 54757 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6754 | 0.8386 | 0.8054 | [M:[0.8333, 1.0, 1.1667, 0.7778, 0.8333], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + 2*t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + 2*t^4.833 + 5*t^5. + 2*t^5.167 + t^5.333 + 2*t^5.5 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 14005/20736, c: 17389/20736, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 5/6, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55424 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.6433 | 0.7822 | 0.8224 | [M:[0.8333, 1.0, 1.1667, 0.7778, 1.2222], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + 2*t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + 2*t^5. + t^5.167 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 3335/5184, c: 4055/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 11/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6811 | 0.8512 | 0.8001 | [M:[0.8333, 1.0, 1.1667, 0.7778, 0.7222], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.167 + t^2.333 + t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.667 + t^4. + t^4.167 + 2*t^4.333 + 2*t^4.5 + 2*t^4.667 + 2*t^4.833 + 3*t^5. + 2*t^5.167 + 2*t^5.333 + t^5.5 + 3*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 14123/20736, c: 17651/20736, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 13/18, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55337 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6788 | 0.8455 | 0.8029 | [M:[0.8333, 1.0, 1.1667, 0.7778, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | 2*t^2.333 + t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + 3*t^4.667 + 2*t^4.833 + 4*t^5. + t^5.167 + 2*t^5.333 + 2*t^5.5 + 2*t^5.667 + 2*t^5.833 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 391/576, c: 487/576, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55259 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.651 | 0.7969 | 0.817 | [M:[0.8333, 1.0, 1.1667, 0.7778, 1.1111], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + t^2.5 + t^3. + t^3.167 + t^3.333 + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 2*t^5. + t^5.5 + 2*t^5.667 + t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 125/192, c: 51/64, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 10/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 55173 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6662 | 0.8225 | 0.81 | [M:[0.8333, 1.0, 1.1667, 0.7778, 0.9444], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 3*t^5. + 2*t^5.167 + 2*t^5.333 + t^5.5 + 2*t^5.667 + t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 1535/2304, c: 1895/2304, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, M5: 17/18, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6611 | 0.8138 | 0.8124 | [M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.314 + t^2.507 + t^2.657 + t^3. + t^3.193 + t^3.493 + t^3.643 + t^3.836 + t^4.029 + t^4.179 + t^4.329 + t^4.522 + t^4.628 + t^4.821 + t^4.971 + 2*t^5.014 + t^5.164 + t^5.314 + t^5.507 + t^5.657 + t^5.7 + t^5.85 + t^5.957 - t^6. - t^4.329/y - t^4.329*y | detail |