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 |
|---|---|---|---|---|---|---|---|---|---|
| 4002 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6705 | 0.8302 | 0.8076 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778, 0.8333], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 869/1296, c: 269/324, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, M7: 5/6, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$ | ${}$ | -1 | t^2.333 + 2*t^2.5 + t^2.833 + t^3. + t^3.333 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + 2*t^4.833 + 4*t^5. + t^5.167 + 2*t^5.333 + t^5.5 + 2*t^5.667 + 2*t^5.833 - t^6. + 2*t^6.167 + 3*t^6.333 + 2*t^6.5 + 3*t^6.667 + 2*t^6.833 + 3*t^7. + 2*t^7.167 + 4*t^7.333 + 7*t^7.5 + 3*t^7.667 + 3*t^7.833 + 4*t^8. + 3*t^8.167 + 2*t^8.333 - t^8.5 + 4*t^8.667 + 2*t^8.833 - t^4.333/y - t^6.667/y - t^6.833/y - t^7.167/y + t^7.5/y + (3*t^7.833)/y + (2*t^8.)/y + t^8.167/y + (3*t^8.333)/y + (2*t^8.5)/y + t^8.667/y + (3*t^8.833)/y - t^4.333*y - t^6.667*y - t^6.833*y - t^7.167*y + t^7.5*y + 3*t^7.833*y + 2*t^8.*y + t^8.167*y + 3*t^8.333*y + 2*t^8.5*y + t^8.667*y + 3*t^8.833*y | t^2.333 + 2*t^2.5 + t^2.833 + t^3. + t^3.333 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + 2*t^4.833 + 4*t^5. + t^5.167 + 2*t^5.333 + t^5.5 + 2*t^5.667 + 2*t^5.833 - t^6. + 2*t^6.167 + 3*t^6.333 + 2*t^6.5 + 3*t^6.667 + 2*t^6.833 + 3*t^7. + 2*t^7.167 + 4*t^7.333 + 7*t^7.5 + 3*t^7.667 + 3*t^7.833 + 4*t^8. + 3*t^8.167 + 2*t^8.333 - t^8.5 + 4*t^8.667 + 2*t^8.833 - t^4.333/y - t^6.667/y - t^6.833/y - t^7.167/y + t^7.5/y + (3*t^7.833)/y + (2*t^8.)/y + t^8.167/y + (3*t^8.333)/y + (2*t^8.5)/y + t^8.667/y + (3*t^8.833)/y - t^4.333*y - t^6.667*y - t^6.833*y - t^7.167*y + t^7.5*y + 3*t^7.833*y + 2*t^8.*y + t^8.167*y + 3*t^8.333*y + 2*t^8.5*y + t^8.667*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5544 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6654 | 0.8216 | 0.8098 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778, 0.8333, 1.0556], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | t^2.333 + 2*t^2.5 + t^3. + t^3.167 + t^3.333 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + 2*t^4.833 + 4*t^5. + 2*t^5.5 + 3*t^5.667 + t^5.833 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 511/768, c: 631/768, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, M7: 5/6, M8: 19/18, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5549 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6905 | 0.8676 | 0.7959 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778, 0.8333, 0.7222], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | t^2.167 + t^2.333 + 2*t^2.5 + t^2.833 + t^3. + t^3.333 + t^3.667 + t^4. + t^4.167 + 2*t^4.333 + 2*t^4.5 + 3*t^4.667 + 2*t^4.833 + 5*t^5. + 2*t^5.167 + 2*t^5.333 + 2*t^5.5 + 2*t^5.667 + 3*t^5.833 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 1591/2304, c: 1999/2304, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, M7: 5/6, M8: 13/18, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5546 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6883 | 0.8619 | 0.7986 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778, 0.8333, 0.7778], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | 2*t^2.333 + 2*t^2.5 + t^2.833 + t^3. + t^3.333 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + 3*t^4.667 + 4*t^4.833 + 4*t^5. + 2*t^5.167 + 3*t^5.333 + t^5.5 + 3*t^5.667 + 2*t^5.833 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 223/324, c: 1117/1296, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, M7: 5/6, M8: 7/9, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1614 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6562 | 0.8055 | 0.8146 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.833 + t^3. + 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^5.167 + t^5.333 + 2*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 13607/20736, c: 16703/20736, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |