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 |
|---|---|---|---|---|---|---|---|---|---|
| 4942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6594 | 0.8337 | 0.7909 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.8421], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 72363/109744, c: 11437/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 16/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.053 + t^2.368 + t^2.526 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 3*t^4.737 + t^4.895 + 3*t^5.053 + 2*t^5.211 + 2*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + t^6.316 + 4*t^6.474 + 2*t^6.632 + 5*t^6.789 + 2*t^6.947 + 5*t^7.105 + 4*t^7.263 + 5*t^7.421 + 4*t^7.579 + 4*t^7.737 + 5*t^7.895 + t^8.053 + 8*t^8.211 + t^8.368 + 6*t^8.526 + t^8.684 + 8*t^8.842 - t^4.421/y - t^6.474/y - t^6.947/y + t^7.421/y + t^7.579/y + t^7.737/y + (2*t^7.895)/y + (2*t^8.053)/y + (2*t^8.211)/y + (3*t^8.368)/y + t^8.526/y + (4*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.947*y + t^7.421*y + t^7.579*y + t^7.737*y + 2*t^7.895*y + 2*t^8.053*y + 2*t^8.211*y + 3*t^8.368*y + t^8.526*y + 4*t^8.684*y + 3*t^8.842*y | t^2.053 + t^2.368 + t^2.526 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 3*t^4.737 + t^4.895 + 3*t^5.053 + 2*t^5.211 + 2*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + t^6.316 + 4*t^6.474 + 2*t^6.632 + 5*t^6.789 + 2*t^6.947 + 5*t^7.105 + 4*t^7.263 + 5*t^7.421 + 4*t^7.579 + 4*t^7.737 + 5*t^7.895 + t^8.053 + 8*t^8.211 + t^8.368 + 6*t^8.526 + t^8.684 + 8*t^8.842 - t^4.421/y - t^6.474/y - t^6.947/y + t^7.421/y + t^7.579/y + t^7.737/y + (2*t^7.895)/y + (2*t^8.053)/y + (2*t^8.211)/y + (3*t^8.368)/y + t^8.526/y + (4*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.947*y + t^7.421*y + t^7.579*y + t^7.737*y + 2*t^7.895*y + 2*t^8.053*y + 2*t^8.211*y + 3*t^8.368*y + t^8.526*y + 4*t^8.684*y + 3*t^8.842*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 |
|---|---|---|---|---|---|---|---|---|
| 6529 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.6689 | 0.8498 | 0.7871 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.8421, 0.8947], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.526 + 2*t^2.684 + t^3. + t^3.158 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 4*t^4.737 + t^4.895 + 4*t^5.053 + 3*t^5.211 + 3*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 36705/54872, c: 93265/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 16/19, M8: 17/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| 6530 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6789 | 0.8697 | 0.7806 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.8421, 0.7368], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + t^2.211 + t^2.368 + t^2.526 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.632 + 3*t^4.105 + t^4.263 + 3*t^4.421 + 2*t^4.579 + 4*t^4.737 + 2*t^4.895 + 3*t^5.053 + 3*t^5.211 + 3*t^5.368 + 3*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 18627/27436, c: 47723/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 16/19, M8: 14/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3082 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6706 | 0.8525 | 0.7866 | [M:[0.7698, 1.0224, 1.1854, 1.1405, 0.8146, 0.8595, 0.7414], q:[0.4746, 0.7556], qb:[0.3849, 0.4298], phi:[0.4888]] | t^2.224 + t^2.309 + t^2.444 + t^2.579 + t^2.713 + t^3.067 + t^3.421 + t^3.556 + t^3.91 + 2*t^4.045 + t^4.179 + t^4.314 + t^4.449 + t^4.534 + t^4.619 + t^4.668 + t^4.753 + t^4.803 + 2*t^4.888 + t^4.937 + 2*t^5.022 + 2*t^5.157 + 2*t^5.292 + t^5.377 + t^5.426 + t^5.511 + 2*t^5.646 + 2*t^5.78 - t^6. - t^4.466/y - t^4.466*y | detail |