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 |
|---|
# | 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1423 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6974 | 0.8566 | 0.8141 | [M:[1.0278, 0.9445, 1.0555, 0.9167, 1.0, 0.9722], q:[0.4584, 0.5139], qb:[0.4861, 0.5694], phi:[0.4931]] | [M:[[4], [-8], [8], [-12], [0], [-4]], q:[[-6], [2]], qb:[[-2], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.75 + t^2.833 + t^2.917 + t^2.958 + t^3. + t^3.083 + t^3.167 + t^4.229 + t^4.313 + 2*t^4.396 + t^4.479 + 2*t^4.562 + t^4.646 + t^4.729 + t^4.896 + t^5.5 + t^5.584 + t^5.667 + t^5.708 + t^5.75 + t^5.792 + t^5.833 + t^5.875 + 2*t^5.917 + t^5.958 - t^6. + t^6.042 - t^6.083 + t^6.125 + t^6.979 + 2*t^7.063 + 3*t^7.146 + t^7.188 + 3*t^7.229 + 4*t^7.313 + t^7.354 + 4*t^7.396 - t^7.438 + 3*t^7.479 + t^7.521 + 2*t^7.562 - t^7.604 + 2*t^7.646 + 2*t^7.729 - t^7.771 + t^7.812 + t^7.854 + t^7.896 - t^7.937 + t^7.979 + t^8.062 + t^8.25 + t^8.334 + t^8.417 + 2*t^8.459 + t^8.5 + 2*t^8.542 + t^8.584 + 3*t^8.625 + t^8.667 + 3*t^8.708 - 2*t^8.75 + 5*t^8.792 - 4*t^8.833 + 5*t^8.875 - 4*t^8.917 + 3*t^8.958 - t^4.479/y - t^7.229/y - t^7.438/y + t^7.521/y + t^7.729/y + t^8.584/y + t^8.667/y + t^8.708/y + (2*t^8.75)/y + t^8.792/y + (2*t^8.833)/y + t^8.875/y + (3*t^8.917)/y + t^8.958/y - t^4.479*y - t^7.229*y - t^7.438*y + t^7.521*y + t^7.729*y + t^8.584*y + t^8.667*y + t^8.708*y + 2*t^8.75*y + t^8.792*y + 2*t^8.833*y + t^8.875*y + 3*t^8.917*y + t^8.958*y | t^2.75/g1^12 + t^2.833/g1^8 + t^2.917/g1^4 + t^2.958/g1^2 + t^3. + g1^4*t^3.083 + g1^8*t^3.167 + t^4.229/g1^13 + t^4.313/g1^9 + (2*t^4.396)/g1^5 + t^4.479/g1 + 2*g1^3*t^4.562 + g1^7*t^4.646 + g1^11*t^4.729 + g1^19*t^4.896 + t^5.5/g1^24 + t^5.584/g1^20 + t^5.667/g1^16 + t^5.708/g1^14 + t^5.75/g1^12 + t^5.792/g1^10 + t^5.833/g1^8 + t^5.875/g1^6 + (2*t^5.917)/g1^4 + t^5.958/g1^2 - t^6. + g1^2*t^6.042 - g1^4*t^6.083 + g1^6*t^6.125 + t^6.979/g1^25 + (2*t^7.063)/g1^21 + (3*t^7.146)/g1^17 + t^7.188/g1^15 + (3*t^7.229)/g1^13 + (4*t^7.313)/g1^9 + t^7.354/g1^7 + (4*t^7.396)/g1^5 - t^7.438/g1^3 + (3*t^7.479)/g1 + g1*t^7.521 + 2*g1^3*t^7.562 - g1^5*t^7.604 + 2*g1^7*t^7.646 + 2*g1^11*t^7.729 - g1^13*t^7.771 + g1^15*t^7.812 + g1^17*t^7.854 + g1^19*t^7.896 - g1^21*t^7.937 + g1^23*t^7.979 + g1^27*t^8.062 + t^8.25/g1^36 + t^8.334/g1^32 + t^8.417/g1^28 + (2*t^8.459)/g1^26 + t^8.5/g1^24 + (2*t^8.542)/g1^22 + t^8.584/g1^20 + (3*t^8.625)/g1^18 + t^8.667/g1^16 + (3*t^8.708)/g1^14 - (2*t^8.75)/g1^12 + (5*t^8.792)/g1^10 - (4*t^8.833)/g1^8 + (5*t^8.875)/g1^6 - (4*t^8.917)/g1^4 + (3*t^8.958)/g1^2 - t^4.479/(g1*y) - t^7.229/(g1^13*y) - t^7.438/(g1^3*y) + (g1*t^7.521)/y + (g1^11*t^7.729)/y + t^8.584/(g1^20*y) + t^8.667/(g1^16*y) + t^8.708/(g1^14*y) + (2*t^8.75)/(g1^12*y) + t^8.792/(g1^10*y) + (2*t^8.833)/(g1^8*y) + t^8.875/(g1^6*y) + (3*t^8.917)/(g1^4*y) + t^8.958/(g1^2*y) - (t^4.479*y)/g1 - (t^7.229*y)/g1^13 - (t^7.438*y)/g1^3 + g1*t^7.521*y + g1^11*t^7.729*y + (t^8.584*y)/g1^20 + (t^8.667*y)/g1^16 + (t^8.708*y)/g1^14 + (2*t^8.75*y)/g1^12 + (t^8.792*y)/g1^10 + (2*t^8.833*y)/g1^8 + (t^8.875*y)/g1^6 + (3*t^8.917*y)/g1^4 + (t^8.958*y)/g1^2 |
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 |
|---|
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 2484 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7002 | 0.8623 | 0.8121 | [M:[1.0338, 0.9325, 1.0675, 0.8987, 1.0, 0.9662, 0.9662], q:[0.4494, 0.5169], qb:[0.4831, 0.5844], phi:[0.4916]] | t^2.696 + t^2.797 + 2*t^2.899 + t^2.949 + t^3. + t^3.203 + t^4.171 + t^4.272 + 2*t^4.373 + t^4.475 + 2*t^4.576 + t^4.677 + t^4.779 + t^4.981 + t^5.392 + t^5.494 + 2*t^5.595 + t^5.646 + 2*t^5.696 + t^5.747 + 2*t^5.797 + 2*t^5.848 + 2*t^5.899 + t^5.949 - 2*t^6. - t^4.475/y - t^4.475*y | detail | |
| 2486 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6933 | 0.8493 | 0.8163 | [M:[1.0157, 0.9685, 1.0315, 0.9528, 1.0, 0.9843, 1.0315], q:[0.4764, 0.5079], qb:[0.4921, 0.5393], phi:[0.4961]] | t^2.858 + t^2.953 + t^2.976 + t^3. + t^3.047 + 2*t^3.094 + t^4.347 + t^4.394 + 2*t^4.441 + t^4.488 + 2*t^4.535 + t^4.583 + t^4.63 + t^4.724 + t^5.717 + t^5.835 + t^5.929 + 2*t^5.953 + t^5.976 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
| 2485 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7036 | 0.869 | 0.8096 | [M:[1.0392, 0.9216, 1.0784, 0.8824, 1.0, 0.9608, 0.9216], q:[0.4412, 0.5196], qb:[0.4804, 0.598], phi:[0.4902]] | t^2.647 + 2*t^2.765 + t^2.882 + t^2.941 + t^3. + t^3.118 + t^4.118 + t^4.235 + 2*t^4.353 + t^4.471 + 2*t^4.588 + t^4.706 + t^4.823 + t^5.059 + t^5.294 + 2*t^5.412 + 3*t^5.53 + t^5.588 + 2*t^5.647 + 2*t^5.706 + 2*t^5.765 + t^5.824 + 2*t^5.882 + t^5.941 - 2*t^6. - t^4.471/y - t^4.471*y | detail | |
| 2487 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ | 0.695 | 0.8523 | 0.8155 | [M:[1.0217, 0.9566, 1.0434, 0.9348, 1.0, 0.9783, 1.0217], q:[0.4674, 0.5109], qb:[0.4891, 0.5543], phi:[0.4946]] | t^2.804 + t^2.87 + t^2.967 + t^3. + 2*t^3.065 + t^3.13 + t^4.288 + t^4.353 + 2*t^4.419 + t^4.484 + 2*t^4.549 + t^4.614 + t^4.679 + t^4.81 + t^5.609 + t^5.674 + t^5.772 + t^5.837 + t^5.87 + 2*t^5.935 + t^5.967 - 2*t^6. - t^4.484/y - t^4.484*y | detail | |
| 2483 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6506 | 0.8183 | 0.795 | [M:[1.1053, 0.7895, 1.2105, 0.6842, 1.0, 0.8947], q:[0.3421, 0.5526], qb:[0.4474, 0.7632], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 3*t^4.737 + t^4.895 + 2*t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 71397/109744, c: 5613/6859, M1: 21/19, M2: 15/19, M3: 23/19, M4: 13/19, M5: 1, M6: 17/19, q1: 13/38, q2: 21/38, qb1: 17/38, qb2: 29/38, 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 |
|---|
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| No data available in table | |||||||||
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 |
|---|
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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 |
|---|
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 926 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7344 | 0.9115 | 0.8058 | [M:[0.8102, 1.0, 1.0, 0.8102, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.4051, 0.5949], phi:[0.4525]] | 3*t^2.431 + t^2.715 + 3*t^3. + t^3.788 + 3*t^4.358 + 6*t^4.861 + 6*t^4.927 + 3*t^5.146 + 7*t^5.431 + 3*t^5.715 - 4*t^6. - t^4.358/y - t^4.358*y | detail |