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 |
|---|---|---|---|---|---|---|---|---|---|
| 767 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5526 | 0.6828 | 0.8093 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3395/6144, c: 4195/6144, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. + 2*t^6.25 + 2*t^6.5 + 2*t^6.75 + 2*t^7. + 3*t^7.25 + 3*t^7.5 + 2*t^7.75 + 3*t^8. + t^8.25 + 2*t^8.5 + t^8.75 - t^4.25/y - t^6.75/y + (2*t^7.75)/y + t^8./y + (2*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y + 2*t^7.75*y + t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 3*t^8.75*y | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. + 2*t^6.25 + 2*t^6.5 + 2*t^6.75 + 2*t^7. + 3*t^7.25 + 3*t^7.5 + 2*t^7.75 + 3*t^8. + t^8.25 + 2*t^8.5 + t^8.75 - t^4.25/y - t^6.75/y + (2*t^7.75)/y + t^8./y + (2*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y + 2*t^7.75*y + t^8.*y + 2*t^8.25*y + 2*t^8.5*y + 3*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 1252 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{5}$ | 0.5449 | 0.6699 | 0.8134 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 1.0833], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + t^5. + 2*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 279/512, c: 343/512, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 13/12, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 1251 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{5}$ | 0.5602 | 0.6956 | 0.8053 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 0.9167], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1721/3072, c: 2137/3072, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 11/12, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 1253 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5669 | 0.7075 | 0.8012 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 0.8333], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.75 + t^4. + t^4.25 + t^4.5 + 3*t^4.75 + 4*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1161/2048, c: 1449/2048, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 5/6, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 1250 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5382 | 0.658 | 0.818 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 1.1667], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + t^4.75 + t^5. + t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 3307/6144, c: 4043/6144, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 7/6, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 1999 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.5716 | 0.7174 | 0.7967 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 0.75], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^4. + t^4.25 + 3*t^4.5 + 3*t^4.75 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 3*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 439/768, c: 551/768, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 3/4, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 479 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 - t^4.253/y - t^4.253*y | detail |