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 |
|---|---|---|---|---|---|---|---|---|---|
| 5312 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{7}$ | 0.6603 | 0.8187 | 0.8066 | [X:[1.2667], M:[1.0, 0.8667, 1.1333, 0.7333, 0.8667, 0.8, 1.1333], q:[0.5, 0.5], qb:[0.3667, 0.7667], phi:[0.4667]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1981/3000, c: 307/375, X1: 19/15, M1: 1, M2: 13/15, M3: 17/15, M4: 11/15, M5: 13/15, M6: 4/5, M7: 17/15, q1: 1/2, q2: 1/2, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{5}M_{7}$ | -2 | t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.4 + 2*t^3.8 + 2*t^4. + 3*t^4.4 + t^4.8 + 2*t^5. + 4*t^5.2 + 3*t^5.4 + t^5.6 + 2*t^5.8 - 2*t^6. + 2*t^6.2 + 4*t^6.4 + 3*t^6.6 + 5*t^6.8 + 4*t^7. + 3*t^7.2 + t^7.4 + 4*t^7.6 + 8*t^7.8 + 3*t^8. + 7*t^8.2 + t^8.4 - 4*t^8.6 + 5*t^8.8 - t^4.4/y - t^6.8/y - t^7.2/y + t^7.6/y + (3*t^8.)/y + (2*t^8.2)/y + (3*t^8.4)/y + (2*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.8*y - t^7.2*y + t^7.6*y + 3*t^8.*y + 2*t^8.2*y + 3*t^8.4*y + 2*t^8.6*y + 2*t^8.8*y | t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.4 + 2*t^3.8 + 2*t^4. + 3*t^4.4 + t^4.8 + 2*t^5. + 4*t^5.2 + 3*t^5.4 + t^5.6 + 2*t^5.8 - 2*t^6. + 2*t^6.2 + 4*t^6.4 + 3*t^6.6 + 5*t^6.8 + 4*t^7. + 3*t^7.2 + t^7.4 + 4*t^7.6 + 8*t^7.8 + 3*t^8. + 7*t^8.2 + t^8.4 - 4*t^8.6 + 5*t^8.8 - t^4.4/y - t^6.8/y - t^7.2/y + t^7.6/y + (3*t^8.)/y + (2*t^8.2)/y + (3*t^8.4)/y + (2*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.8*y - t^7.2*y + t^7.6*y + 3*t^8.*y + 2*t^8.2*y + 3*t^8.4*y + 2*t^8.6*y + 2*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 6840 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{7}M_{8}$ | 0.6722 | 0.8388 | 0.8013 | [X:[1.2667], M:[1.0, 0.8667, 1.1333, 0.7333, 0.8667, 0.8, 1.1333, 0.8667], q:[0.5, 0.5], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.4 + 3*t^2.6 + t^2.8 + t^3. + 2*t^3.8 + 2*t^4. + 3*t^4.4 + t^4.8 + 3*t^5. + 7*t^5.2 + 4*t^5.4 + 2*t^5.6 + t^5.8 - 4*t^6. - t^4.4/y - t^4.4*y | detail | {a: 4033/6000, c: 5033/6000, X1: 19/15, M1: 1, M2: 13/15, M3: 17/15, M4: 11/15, M5: 13/15, M6: 4/5, M7: 17/15, M8: 13/15, q1: 1/2, q2: 1/2, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.177 + 2*t^2.451 + t^2.726 + t^2.991 + t^3. + t^3.54 + t^3.805 + t^3.814 + t^4.097 + t^4.354 + t^4.363 + t^4.372 + 2*t^4.628 + 4*t^4.903 + t^4.92 + t^5.168 + 3*t^5.177 + t^5.443 + 2*t^5.451 + 2*t^5.717 + t^5.726 + 2*t^5.982 + 3*t^5.991 - 2*t^6. - t^4.363/y - t^4.363*y | detail |