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 |
---|---|---|---|---|---|---|---|---|---|
2373 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0, 1.0063, 0.9874, 0.9748, 1.0126, 1.0252, 0.9874], q:[0.5252, 0.4748], qb:[0.5, 0.5126], phi:[0.4968]] | [M:[[0], [2], [-4], [-8], [4], [8], [-4]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$ | ${}$ | -2 | t^2.924 + 2*t^2.962 + t^3. + t^3.019 + t^3.076 + t^3.113 + t^4.339 + t^4.415 + t^4.453 + 2*t^4.491 + t^4.528 + 2*t^4.566 + t^4.604 + t^4.642 + t^5.887 + 2*t^5.924 + t^5.943 + 2*t^5.981 - 2*t^6. + t^6.019 + t^6.038 + t^6.076 + t^6.095 + t^6.132 + t^6.189 + t^6.227 + t^7.264 + 2*t^7.301 + t^7.339 + t^7.377 + 3*t^7.415 + 3*t^7.453 + 2*t^7.491 + 3*t^7.528 + 4*t^7.566 + 3*t^7.604 + 2*t^7.642 + 2*t^7.68 + 2*t^7.718 + t^7.755 + t^8.678 + t^8.754 + t^8.792 - t^8.811 + 2*t^8.83 + t^8.868 + t^8.887 + 4*t^8.905 - 3*t^8.924 + 4*t^8.943 - 6*t^8.962 + 4*t^8.981 - t^4.491/y - t^7.453/y + t^7.528/y + (2*t^8.887)/y + (2*t^8.924)/y + t^8.943/y + (2*t^8.962)/y + (2*t^8.981)/y - t^4.491*y - t^7.453*y + t^7.528*y + 2*t^8.887*y + 2*t^8.924*y + t^8.943*y + 2*t^8.962*y + 2*t^8.981*y | t^2.924/g1^8 + (2*t^2.962)/g1^4 + t^3. + g1^2*t^3.019 + g1^8*t^3.076 + g1^12*t^3.113 + t^4.339/g1^17 + t^4.415/g1^9 + t^4.453/g1^5 + (2*t^4.491)/g1 + g1^3*t^4.528 + 2*g1^7*t^4.566 + g1^11*t^4.604 + g1^15*t^4.642 + t^5.887/g1^12 + (2*t^5.924)/g1^8 + t^5.943/g1^6 + (2*t^5.981)/g1^2 - 2*t^6. + g1^2*t^6.019 + g1^4*t^6.038 + g1^8*t^6.076 + g1^10*t^6.095 + g1^14*t^6.132 + g1^20*t^6.189 + g1^24*t^6.227 + t^7.264/g1^25 + (2*t^7.301)/g1^21 + t^7.339/g1^17 + t^7.377/g1^13 + (3*t^7.415)/g1^9 + (3*t^7.453)/g1^5 + (2*t^7.491)/g1 + 3*g1^3*t^7.528 + 4*g1^7*t^7.566 + 3*g1^11*t^7.604 + 2*g1^15*t^7.642 + 2*g1^19*t^7.68 + 2*g1^23*t^7.718 + g1^27*t^7.755 + t^8.678/g1^34 + t^8.754/g1^26 + t^8.792/g1^22 - t^8.811/g1^20 + (2*t^8.83)/g1^18 + t^8.868/g1^14 + t^8.887/g1^12 + (4*t^8.905)/g1^10 - (3*t^8.924)/g1^8 + (4*t^8.943)/g1^6 - (6*t^8.962)/g1^4 + (4*t^8.981)/g1^2 - t^4.491/(g1*y) - t^7.453/(g1^5*y) + (g1^3*t^7.528)/y + (2*t^8.887)/(g1^12*y) + (2*t^8.924)/(g1^8*y) + t^8.943/(g1^6*y) + (2*t^8.962)/(g1^4*y) + (2*t^8.981)/(g1^2*y) - (t^4.491*y)/g1 - (t^7.453*y)/g1^5 + g1^3*t^7.528*y + (2*t^8.887*y)/g1^12 + (2*t^8.924*y)/g1^8 + (t^8.943*y)/g1^6 + (2*t^8.962*y)/g1^4 + (2*t^8.981*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 |
---|---|---|---|---|---|---|---|---|
4369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6961 | 0.8543 | 0.8148 | [M:[1.0, 1.0123, 0.9754, 0.9508, 1.0246, 1.0492, 0.9754, 0.9508], q:[0.5492, 0.4508], qb:[0.5, 0.5246], phi:[0.4939]] | 2*t^2.852 + 2*t^2.926 + t^3. + t^3.037 + t^3.221 + t^4.186 + t^4.334 + t^4.408 + 2*t^4.482 + t^4.555 + 2*t^4.629 + t^4.703 + t^4.777 + 2*t^5.705 + 3*t^5.779 + 3*t^5.852 + 2*t^5.889 + 2*t^5.963 - 3*t^6. - t^4.482/y - t^4.482*y | detail |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6917 | 0.8473 | 0.8164 | [M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | t^2.961 + t^2.981 + t^3. + t^3.01 + t^3.019 + t^3.039 + t^3.058 + t^4.417 + t^4.456 + t^4.476 + 2*t^4.495 + t^4.515 + 2*t^4.534 + t^4.554 + t^4.573 + t^5.971 + t^5.99 - t^6. - t^4.495/y - t^4.495*y | detail |