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 |
|---|---|---|---|---|---|---|---|---|---|
| 1218 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.5798 | 0.7152 | 0.8107 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1781/3072, c: 2197/3072, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$ | ${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 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 |
|---|---|---|---|---|---|---|---|---|
| 2260 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{6}$ | 0.5721 | 0.7023 | 0.8146 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0, 1.0833], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + t^5. + t^5.25 + 2*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3515/6144, c: 4315/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, M6: 13/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
| 2261 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5988 | 0.7498 | 0.7986 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0, 0.75], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], 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, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, M6: 3/4, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 743 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6499 | 0.8145 | 0.7979 | [M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | t^2.195 + t^2.281 + t^2.366 + t^2.451 + t^2.536 + 2*t^3.549 + t^3.634 + t^3.719 + t^4.391 + t^4.476 + 2*t^4.561 + 2*t^4.646 + 3*t^4.732 + 3*t^4.817 + 2*t^4.902 + t^4.988 + t^5.073 + 2*t^5.744 + 2*t^5.829 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail |