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 |
|---|---|---|---|---|---|---|---|---|---|
| 4046 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6269 | 0.7831 | 0.8005 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 0.8889, 1.0, 0.7222], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4333/6912, c: 5413/6912, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 8/9, M6: 1, M7: 13/18, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$ | ${}$ | -1 | t^2.167 + t^2.5 + 2*t^2.667 + t^3. + t^3.167 + t^3.5 + 2*t^4. + t^4.167 + t^4.333 + 2*t^4.667 + 3*t^4.833 + t^5. + 2*t^5.167 + 4*t^5.333 + t^5.5 + 4*t^5.667 - t^6. + 4*t^6.167 + t^6.5 + 3*t^6.667 + 2*t^6.833 + 4*t^7. + 2*t^7.167 + 2*t^7.333 + 6*t^7.5 + 3*t^7.667 + 4*t^7.833 + 5*t^8. + t^8.167 + 7*t^8.333 - t^8.5 - t^8.667 + 4*t^8.833 - t^4.333/y - t^6.5/y - t^7./y + (2*t^7.667)/y + (2*t^7.833)/y + (4*t^8.167)/y + (2*t^8.333)/y + t^8.5/y + (3*t^8.667)/y + (2*t^8.833)/y - t^4.333*y - t^6.5*y - t^7.*y + 2*t^7.667*y + 2*t^7.833*y + 4*t^8.167*y + 2*t^8.333*y + t^8.5*y + 3*t^8.667*y + 2*t^8.833*y | t^2.167 + t^2.5 + 2*t^2.667 + t^3. + t^3.167 + t^3.5 + 2*t^4. + t^4.167 + t^4.333 + 2*t^4.667 + 3*t^4.833 + t^5. + 2*t^5.167 + 4*t^5.333 + t^5.5 + 4*t^5.667 - t^6. + 4*t^6.167 + t^6.5 + 3*t^6.667 + 2*t^6.833 + 4*t^7. + 2*t^7.167 + 2*t^7.333 + 6*t^7.5 + 3*t^7.667 + 4*t^7.833 + 5*t^8. + t^8.167 + 7*t^8.333 - t^8.5 - t^8.667 + 4*t^8.833 - t^4.333/y - t^6.5/y - t^7./y + (2*t^7.667)/y + (2*t^7.833)/y + (4*t^8.167)/y + (2*t^8.333)/y + t^8.5/y + (3*t^8.667)/y + (2*t^8.833)/y - t^4.333*y - t^6.5*y - t^7.*y + 2*t^7.667*y + 2*t^7.833*y + 4*t^8.167*y + 2*t^8.333*y + t^8.5*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5597 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.6412 | 0.8079 | 0.7937 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 0.8889, 1.0, 0.7222, 0.8333], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.167 + 2*t^2.5 + 2*t^2.667 + t^3. + t^3.167 + 2*t^4. + t^4.167 + t^4.333 + 3*t^4.667 + 3*t^4.833 + 3*t^5. + 4*t^5.167 + 4*t^5.333 + 2*t^5.5 + 4*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 277/432, c: 349/432, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 8/9, M6: 1, M7: 13/18, M8: 5/6, q1: 7/9, q2: 5/18, qb1: 5/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1650 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$ | 0.6069 | 0.7458 | 0.8138 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 0.8889, 1.0], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.5 + 2*t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.833 + 2*t^4. + t^4.167 + t^4.667 + t^4.833 + t^5. + t^5.167 + 3*t^5.333 + t^5.5 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 1573/2592, c: 1933/2592, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 8/9, M6: 1, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |