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 |
---|---|---|---|---|---|---|---|---|---|
4484 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.7034 | 0.8673 | 0.811 | [M:[0.9328, 1.0224, 1.0672, 0.8881, 0.9328, 1.0224, 0.9328, 1.0224], q:[0.5112, 0.556], qb:[0.4216, 0.556], phi:[0.4888]] | [M:[[-6], [2], [6], [-10], [-6], [2], [-6], [2]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$ | ${}$ | -6 | t^2.664 + 3*t^2.799 + 3*t^3.067 + t^3.996 + t^4.265 + 2*t^4.399 + t^4.534 + 2*t^4.668 + 3*t^4.802 + t^5.328 + 3*t^5.463 + 4*t^5.597 + 2*t^5.731 + 7*t^5.866 - 6*t^6. + 3*t^6.134 - t^6.269 - 2*t^6.403 + t^6.66 + 3*t^6.795 + t^6.929 + 5*t^7.063 + 4*t^7.198 + 4*t^7.332 + 6*t^7.466 + 4*t^7.601 + t^7.735 + 3*t^7.869 + 2*t^7.993 - 2*t^8.004 + 3*t^8.127 + 5*t^8.261 + 8*t^8.396 + 5*t^8.53 + 5*t^8.664 - 9*t^8.799 + 7*t^8.933 - t^4.466/y - t^7.131/y - (2*t^7.265)/y + (2*t^7.399)/y - (2*t^7.534)/y + (2*t^7.668)/y + t^7.802/y + (3*t^8.463)/y + (3*t^8.597)/y + (3*t^8.731)/y + (9*t^8.866)/y - t^4.466*y - t^7.131*y - 2*t^7.265*y + 2*t^7.399*y - 2*t^7.534*y + 2*t^7.668*y + t^7.802*y + 3*t^8.463*y + 3*t^8.597*y + 3*t^8.731*y + 9*t^8.866*y | t^2.664/g1^10 + (3*t^2.799)/g1^6 + 3*g1^2*t^3.067 + t^3.996/g1^15 + t^4.265/g1^7 + (2*t^4.399)/g1^3 + g1*t^4.534 + 2*g1^5*t^4.668 + 3*g1^9*t^4.802 + t^5.328/g1^20 + (3*t^5.463)/g1^16 + (4*t^5.597)/g1^12 + (2*t^5.731)/g1^8 + (7*t^5.866)/g1^4 - 6*t^6. + 3*g1^4*t^6.134 - g1^8*t^6.269 - 2*g1^12*t^6.403 + t^6.66/g1^25 + (3*t^6.795)/g1^21 + t^6.929/g1^17 + (5*t^7.063)/g1^13 + (4*t^7.198)/g1^9 + (4*t^7.332)/g1^5 + (6*t^7.466)/g1 + 4*g1^3*t^7.601 + g1^7*t^7.735 + 3*g1^11*t^7.869 + (2*t^7.993)/g1^30 - 2*g1^15*t^8.004 + (3*t^8.127)/g1^26 + (5*t^8.261)/g1^22 + (8*t^8.396)/g1^18 + (5*t^8.53)/g1^14 + (5*t^8.664)/g1^10 - (9*t^8.799)/g1^6 + (7*t^8.933)/g1^2 - t^4.466/(g1*y) - t^7.131/(g1^11*y) - (2*t^7.265)/(g1^7*y) + (2*t^7.399)/(g1^3*y) - (2*g1*t^7.534)/y + (2*g1^5*t^7.668)/y + (g1^9*t^7.802)/y + (3*t^8.463)/(g1^16*y) + (3*t^8.597)/(g1^12*y) + (3*t^8.731)/(g1^8*y) + (9*t^8.866)/(g1^4*y) - (t^4.466*y)/g1 - (t^7.131*y)/g1^11 - (2*t^7.265*y)/g1^7 + (2*t^7.399*y)/g1^3 - 2*g1*t^7.534*y + 2*g1^5*t^7.668*y + g1^9*t^7.802*y + (3*t^8.463*y)/g1^16 + (3*t^8.597*y)/g1^12 + (3*t^8.731*y)/g1^8 + (9*t^8.866*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 |
---|---|---|---|---|---|---|---|---|
6003 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$ | 0.6979 | 0.8568 | 0.8146 | [M:[0.9495, 1.0168, 1.0505, 0.9159, 0.9495, 1.0168, 0.9495, 1.0168, 1.0505], q:[0.5084, 0.5421], qb:[0.4411, 0.5421], phi:[0.4916]] | t^2.748 + 2*t^2.849 + 3*t^3.05 + t^3.151 + t^4.121 + t^4.323 + 2*t^4.424 + t^4.525 + 2*t^4.626 + 3*t^4.727 + t^5.495 + 2*t^5.596 + t^5.697 + 2*t^5.798 + 5*t^5.899 - 4*t^6. - t^4.475/y - t^4.475*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 |
---|---|---|---|---|---|---|---|---|---|
2435 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7056 | 0.8717 | 0.8095 | [M:[0.9273, 1.0242, 1.0727, 0.8789, 0.9273, 1.0242, 0.9273], q:[0.5121, 0.5606], qb:[0.4152, 0.5606], phi:[0.4879]] | t^2.637 + 3*t^2.782 + t^2.927 + 2*t^3.073 + t^3.955 + t^4.246 + 2*t^4.391 + t^4.536 + 2*t^4.682 + 3*t^4.827 + t^5.273 + 3*t^5.419 + 5*t^5.564 + 4*t^5.709 + 5*t^5.855 - 4*t^6. - t^4.464/y - t^4.464*y | detail |