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 |
|---|---|---|---|---|---|---|---|---|---|
| 47283 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.5798 | 0.7152 | 0.8107 | [M:[0.75, 0.9167, 1.25, 1.0], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1781/3072, c: 2197/3072, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^5.75 + 2*t^6. + 3*t^6.25 + 3*t^6.5 + 2*t^6.75 + t^7. + 2*t^7.25 + 5*t^7.5 + 4*t^7.75 + 2*t^8. + t^8.25 + 2*t^8.5 + t^8.75 - t^4.25/y - t^6.75/y - t^7./y + t^7.5/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 - t^7.*y + t^7.5*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 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^5.75 + 2*t^6. + 3*t^6.25 + 3*t^6.5 + 2*t^6.75 + t^7. + 2*t^7.25 + 5*t^7.5 + 4*t^7.75 + 2*t^8. + t^8.25 + 2*t^8.5 + t^8.75 - t^4.25/y - t^6.75/y - t^7./y + t^7.5/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 - t^7.*y + t^7.5*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 |
|---|---|---|---|---|---|---|---|---|
| 54153 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{5}$ | 0.5988 | 0.7498 | 0.7986 | [M:[0.75, 0.9167, 1.25, 1.0, 0.75], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3679/6144, c: 4607/6144, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 3/4, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| 54102 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5874 | 0.728 | 0.8068 | [M:[0.75, 0.9167, 1.25, 1.0, 0.9167], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1203/2048, c: 1491/2048, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 11/12, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46614 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6373 | 0.7949 | 0.8018 | [M:[0.826, 0.7394, 1.174, 0.6961], q:[0.8043, 0.3697], qb:[0.4563, 0.8043], phi:[0.3913]] | t^2.088 + t^2.218 + t^2.348 + t^2.478 + t^3.392 + 2*t^3.522 + t^3.652 + t^3.782 + t^4.177 + t^4.307 + 2*t^4.436 + 2*t^4.566 + 2*t^4.696 + 2*t^4.826 + t^4.956 + t^5.481 + 3*t^5.611 + 3*t^5.74 + 3*t^5.87 + t^6. - t^4.174/y - t^4.174*y | detail |