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 |
---|---|---|---|---|---|---|---|---|---|
4503 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7041 | 0.8687 | 0.8105 | [M:[0.9272, 1.0243, 1.0728, 0.8786, 0.9272, 1.0243, 0.9272, 1.0243], q:[0.4636, 0.6092], qb:[0.4636, 0.5121], phi:[0.4879]] | [M:[[-6], [2], [6], [-10], [-6], [2], [-6], [2]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$ | ${}$ | -6 | t^2.636 + 3*t^2.782 + 3*t^3.073 + 3*t^4.245 + 2*t^4.391 + t^4.536 + 2*t^4.682 + t^4.828 + t^5.119 + t^5.272 + 3*t^5.417 + 4*t^5.563 + 2*t^5.709 + 7*t^5.854 - 6*t^6. + 3*t^6.146 - t^6.291 - 2*t^6.437 + 3*t^6.881 + 9*t^7.027 + 4*t^7.172 + 8*t^7.318 + 4*t^7.464 - 2*t^7.609 + 2*t^7.755 + 2*t^7.9 + t^7.908 - 2*t^8.046 + 3*t^8.053 + 2*t^8.192 + 4*t^8.199 + 7*t^8.345 + 10*t^8.49 + 5*t^8.636 - 12*t^8.782 + 11*t^8.927 - t^4.464/y - t^7.1/y - (2*t^7.245)/y + (2*t^7.391)/y - (2*t^7.536)/y + (2*t^7.682)/y + t^7.828/y + (3*t^8.417)/y + (3*t^8.563)/y + (3*t^8.709)/y + (9*t^8.854)/y - t^4.464*y - t^7.1*y - 2*t^7.245*y + 2*t^7.391*y - 2*t^7.536*y + 2*t^7.682*y + t^7.828*y + 3*t^8.417*y + 3*t^8.563*y + 3*t^8.709*y + 9*t^8.854*y | t^2.636/g1^10 + (3*t^2.782)/g1^6 + 3*g1^2*t^3.073 + (3*t^4.245)/g1^7 + (2*t^4.391)/g1^3 + g1*t^4.536 + 2*g1^5*t^4.682 + g1^9*t^4.828 + g1^17*t^5.119 + t^5.272/g1^20 + (3*t^5.417)/g1^16 + (4*t^5.563)/g1^12 + (2*t^5.709)/g1^8 + (7*t^5.854)/g1^4 - 6*t^6. + 3*g1^4*t^6.146 - g1^8*t^6.291 - 2*g1^12*t^6.437 + (3*t^6.881)/g1^17 + (9*t^7.027)/g1^13 + (4*t^7.172)/g1^9 + (8*t^7.318)/g1^5 + (4*t^7.464)/g1 - 2*g1^3*t^7.609 + 2*g1^7*t^7.755 + 2*g1^11*t^7.9 + t^7.908/g1^30 - 2*g1^15*t^8.046 + (3*t^8.053)/g1^26 + 2*g1^19*t^8.192 + (4*t^8.199)/g1^22 + (7*t^8.345)/g1^18 + (10*t^8.49)/g1^14 + (5*t^8.636)/g1^10 - (12*t^8.782)/g1^6 + (11*t^8.927)/g1^2 - t^4.464/(g1*y) - t^7.1/(g1^11*y) - (2*t^7.245)/(g1^7*y) + (2*t^7.391)/(g1^3*y) - (2*g1*t^7.536)/y + (2*g1^5*t^7.682)/y + (g1^9*t^7.828)/y + (3*t^8.417)/(g1^16*y) + (3*t^8.563)/(g1^12*y) + (3*t^8.709)/(g1^8*y) + (9*t^8.854)/(g1^4*y) - (t^4.464*y)/g1 - (t^7.1*y)/g1^11 - (2*t^7.245*y)/g1^7 + (2*t^7.391*y)/g1^3 - 2*g1*t^7.536*y + 2*g1^5*t^7.682*y + g1^9*t^7.828*y + (3*t^8.417*y)/g1^16 + (3*t^8.563*y)/g1^12 + (3*t^8.709*y)/g1^8 + (9*t^8.854*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6002 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{9}$ | 0.6982 | 0.8573 | 0.8145 | [M:[0.9463, 1.0179, 1.0537, 0.9104, 0.9463, 1.0179, 0.9463, 1.0179, 1.0537], q:[0.4731, 0.5806], qb:[0.4731, 0.509], phi:[0.491]] | t^2.731 + 2*t^2.839 + 3*t^3.054 + t^3.161 + 3*t^4.312 + 2*t^4.419 + t^4.527 + 2*t^4.634 + t^4.742 + t^4.957 + t^5.463 + 2*t^5.57 + t^5.678 + 2*t^5.785 + 5*t^5.893 - 4*t^6. - t^4.473/y - t^4.473*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 |
---|---|---|---|---|---|---|---|---|---|
2456 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7065 | 0.8734 | 0.8088 | [M:[0.9207, 1.0264, 1.0793, 0.8678, 0.9207, 1.0264, 0.9207], q:[0.4604, 0.6189], qb:[0.4604, 0.5132], phi:[0.4868]] | t^2.604 + 3*t^2.762 + t^2.921 + 2*t^3.079 + 3*t^4.222 + 2*t^4.381 + t^4.54 + 2*t^4.698 + t^4.857 + t^5.174 + t^5.207 + 3*t^5.366 + 5*t^5.524 + 4*t^5.683 + 5*t^5.841 - 4*t^6. - t^4.46/y - t^4.46*y | detail |