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 |
|---|---|---|---|---|---|---|---|---|---|
| 4894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6814 | 0.8722 | 0.7812 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895, 0.8421], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 37389/54872, c: 23929/27436, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, M7: 16/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.053 + 2*t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.789 + 3*t^4.105 + 3*t^4.421 + t^4.579 + 5*t^4.737 + 3*t^4.895 + 4*t^5.053 + 3*t^5.211 + 4*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. + 5*t^6.158 - t^6.316 + 6*t^6.474 + 2*t^6.632 + 7*t^6.789 + 4*t^6.947 + 10*t^7.105 + 5*t^7.263 + 9*t^7.421 + 8*t^7.579 + 6*t^7.737 + 7*t^7.895 + 2*t^8.053 + 10*t^8.211 - 3*t^8.368 + 9*t^8.526 - 2*t^8.684 + 10*t^8.842 - t^4.421/y - t^6.474/y - t^6.789/y - t^6.947/y - t^7.263/y + (2*t^7.421)/y + (2*t^7.579)/y + (2*t^7.737)/y + (4*t^7.895)/y + (4*t^8.053)/y + (3*t^8.211)/y + (5*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (2*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.789*y - t^6.947*y - t^7.263*y + 2*t^7.421*y + 2*t^7.579*y + 2*t^7.737*y + 4*t^7.895*y + 4*t^8.053*y + 3*t^8.211*y + 5*t^8.368*y + t^8.526*y + 3*t^8.684*y + 2*t^8.842*y | t^2.053 + 2*t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.789 + 3*t^4.105 + 3*t^4.421 + t^4.579 + 5*t^4.737 + 3*t^4.895 + 4*t^5.053 + 3*t^5.211 + 4*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. + 5*t^6.158 - t^6.316 + 6*t^6.474 + 2*t^6.632 + 7*t^6.789 + 4*t^6.947 + 10*t^7.105 + 5*t^7.263 + 9*t^7.421 + 8*t^7.579 + 6*t^7.737 + 7*t^7.895 + 2*t^8.053 + 10*t^8.211 - 3*t^8.368 + 9*t^8.526 - 2*t^8.684 + 10*t^8.842 - t^4.421/y - t^6.474/y - t^6.789/y - t^6.947/y - t^7.263/y + (2*t^7.421)/y + (2*t^7.579)/y + (2*t^7.737)/y + (4*t^7.895)/y + (4*t^8.053)/y + (3*t^8.211)/y + (5*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (2*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.789*y - t^6.947*y - t^7.263*y + 2*t^7.421*y + 2*t^7.579*y + 2*t^7.737*y + 4*t^7.895*y + 4*t^8.053*y + 3*t^8.211*y + 5*t^8.368*y + t^8.526*y + 3*t^8.684*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 6500 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.6909 | 0.8883 | 0.7778 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895, 0.8421, 0.8947], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^2.526 + 2*t^2.684 + t^2.842 + t^3. + t^3.789 + 3*t^4.105 + 3*t^4.421 + t^4.579 + 6*t^4.737 + 3*t^4.895 + 6*t^5.053 + 4*t^5.211 + 5*t^5.368 + 3*t^5.526 + t^5.684 + 2*t^5.842 - 2*t^6. - t^4.421/y - t^4.421*y | detail | {a: 75825/109744, c: 97485/109744, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, M7: 16/19, M8: 17/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
| 6501 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.7009 | 0.9082 | 0.7718 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895, 0.8421, 0.7368], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + t^2.211 + 2*t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + 3*t^4.105 + t^4.263 + 4*t^4.421 + 3*t^4.579 + 6*t^4.737 + 4*t^4.895 + 5*t^5.053 + 4*t^5.211 + 4*t^5.368 + 3*t^5.526 + 2*t^5.684 + 2*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 76923/109744, c: 49833/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, M7: 16/19, M8: 14/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2703 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6887 | 0.8828 | 0.7801 | [M:[1.1902, 0.7533, 0.8098, 1.1337, 0.8663, 0.8098, 0.7608], q:[0.4331, 0.3766], qb:[0.7571, 0.4896], phi:[0.4859]] | t^2.26 + t^2.282 + 2*t^2.429 + t^2.599 + t^2.768 + t^2.915 + t^3.401 + t^3.887 + 2*t^4.056 + t^4.226 + t^4.395 + t^4.52 + t^4.542 + t^4.565 + 2*t^4.689 + 2*t^4.712 + 4*t^4.859 + t^4.881 + 3*t^5.028 + t^5.051 + t^5.175 + 4*t^5.198 + 2*t^5.345 + t^5.367 + t^5.514 + t^5.537 + 2*t^5.684 + t^5.831 - 2*t^6. - t^4.458/y - t^4.458*y | detail |