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 |
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58727 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6605 | 0.8829 | 0.7481 | [M:[0.9607, 0.9607, 0.6769, 0.8821, 1.0393, 0.7009, 1.0393, 0.7795], q:[0.7402, 0.2991], qb:[0.4803, 0.4017], phi:[0.5197]] | [M:[[4], [4], [-18], [12], [-4], [5], [-4], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{8}q_{1}\tilde{q}_{1}$ | -2 | t^2.031 + 2*t^2.103 + 2*t^2.338 + 2*t^2.646 + 2*t^3.118 + t^3.426 + t^3.662 + t^4.061 + 2*t^4.133 + 4*t^4.205 + 2*t^4.369 + 5*t^4.441 + 5*t^4.677 + 4*t^4.749 + 4*t^4.985 + 2*t^5.149 + 4*t^5.221 + 3*t^5.292 + 4*t^5.456 + 2*t^5.528 + 6*t^5.764 - 2*t^6. + 2*t^6.072 + t^6.092 + 2*t^6.164 + 4*t^6.236 + 6*t^6.308 + 2*t^6.4 + 5*t^6.472 + 8*t^6.544 + 5*t^6.708 + 10*t^6.779 + 8*t^6.851 + 5*t^7.015 + 9*t^7.087 + 2*t^7.179 + 3*t^7.251 + 12*t^7.323 + 6*t^7.395 + 4*t^7.487 + 5*t^7.559 + 9*t^7.631 + 6*t^7.795 + 9*t^7.867 + 4*t^7.939 - 4*t^8.031 + t^8.103 + t^8.123 + 4*t^8.174 + 2*t^8.195 + 4*t^8.267 - t^8.338 + 14*t^8.41 + 2*t^8.431 + 5*t^8.502 + 6*t^8.574 + 4*t^8.646 + 3*t^8.718 + 5*t^8.738 + 8*t^8.81 + 14*t^8.882 + 11*t^8.954 - t^4.559/y - t^6.59/y - t^6.662/y - t^6.897/y + (2*t^7.133)/y + (2*t^7.369)/y + (5*t^7.441)/y + (2*t^7.677)/y + (4*t^7.749)/y + t^7.913/y + (4*t^7.985)/y + (2*t^8.149)/y + (5*t^8.221)/y + t^8.292/y + (6*t^8.456)/y + (3*t^8.528)/y - t^8.62/y + (7*t^8.764)/y - t^8.928/y - t^4.559*y - t^6.59*y - t^6.662*y - t^6.897*y + 2*t^7.133*y + 2*t^7.369*y + 5*t^7.441*y + 2*t^7.677*y + 4*t^7.749*y + t^7.913*y + 4*t^7.985*y + 2*t^8.149*y + 5*t^8.221*y + t^8.292*y + 6*t^8.456*y + 3*t^8.528*y - t^8.62*y + 7*t^8.764*y - t^8.928*y | t^2.031/g1^18 + 2*g1^5*t^2.103 + (2*t^2.338)/g1^3 + 2*g1^12*t^2.646 + (2*t^3.118)/g1^4 + g1^11*t^3.426 + g1^3*t^3.662 + t^4.061/g1^36 + (2*t^4.133)/g1^13 + 4*g1^10*t^4.205 + (2*t^4.369)/g1^21 + 5*g1^2*t^4.441 + (5*t^4.677)/g1^6 + 4*g1^17*t^4.749 + 4*g1^9*t^4.985 + (2*t^5.149)/g1^22 + 4*g1*t^5.221 + 3*g1^24*t^5.292 + (4*t^5.456)/g1^7 + 2*g1^16*t^5.528 + 6*g1^8*t^5.764 - 2*t^6. + 2*g1^23*t^6.072 + t^6.092/g1^54 + (2*t^6.164)/g1^31 + (4*t^6.236)/g1^8 + 6*g1^15*t^6.308 + (2*t^6.4)/g1^39 + (5*t^6.472)/g1^16 + 8*g1^7*t^6.544 + (5*t^6.708)/g1^24 + (10*t^6.779)/g1 + 8*g1^22*t^6.851 + (5*t^7.015)/g1^9 + 9*g1^14*t^7.087 + (2*t^7.179)/g1^40 + (3*t^7.251)/g1^17 + 12*g1^6*t^7.323 + 6*g1^29*t^7.395 + (4*t^7.487)/g1^25 + (5*t^7.559)/g1^2 + 9*g1^21*t^7.631 + (6*t^7.795)/g1^10 + 9*g1^13*t^7.867 + 4*g1^36*t^7.939 - (4*t^8.031)/g1^18 + g1^5*t^8.103 + t^8.123/g1^72 + 4*g1^28*t^8.174 + (2*t^8.195)/g1^49 + (4*t^8.267)/g1^26 - t^8.338/g1^3 + 14*g1^20*t^8.41 + (2*t^8.431)/g1^57 + (5*t^8.502)/g1^34 + (6*t^8.574)/g1^11 + 4*g1^12*t^8.646 + 3*g1^35*t^8.718 + (5*t^8.738)/g1^42 + (8*t^8.81)/g1^19 + 14*g1^4*t^8.882 + 11*g1^27*t^8.954 - t^4.559/(g1^2*y) - t^6.59/(g1^20*y) - (g1^3*t^6.662)/y - t^6.897/(g1^5*y) + (2*t^7.133)/(g1^13*y) + (2*t^7.369)/(g1^21*y) + (5*g1^2*t^7.441)/y + (2*t^7.677)/(g1^6*y) + (4*g1^17*t^7.749)/y + t^7.913/(g1^14*y) + (4*g1^9*t^7.985)/y + (2*t^8.149)/(g1^22*y) + (5*g1*t^8.221)/y + (g1^24*t^8.292)/y + (6*t^8.456)/(g1^7*y) + (3*g1^16*t^8.528)/y - t^8.62/(g1^38*y) + (7*g1^8*t^8.764)/y - t^8.928/(g1^23*y) - (t^4.559*y)/g1^2 - (t^6.59*y)/g1^20 - g1^3*t^6.662*y - (t^6.897*y)/g1^5 + (2*t^7.133*y)/g1^13 + (2*t^7.369*y)/g1^21 + 5*g1^2*t^7.441*y + (2*t^7.677*y)/g1^6 + 4*g1^17*t^7.749*y + (t^7.913*y)/g1^14 + 4*g1^9*t^7.985*y + (2*t^8.149*y)/g1^22 + 5*g1*t^8.221*y + g1^24*t^8.292*y + (6*t^8.456*y)/g1^7 + 3*g1^16*t^8.528*y - (t^8.62*y)/g1^38 + 7*g1^8*t^8.764*y - (t^8.928*y)/g1^23 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
56810 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6429 | 0.8517 | 0.7548 | [M:[0.9594, 0.9594, 0.6826, 0.8782, 1.0406, 0.6993, 1.0406], q:[0.7399, 0.3007], qb:[0.4797, 0.3985], phi:[0.5203]] | t^2.048 + 2*t^2.098 + t^2.341 + 2*t^2.635 + 2*t^3.122 + t^3.415 + 2*t^3.659 + t^4.096 + 2*t^4.146 + 4*t^4.196 + t^4.389 + 3*t^4.439 + 3*t^4.683 + 4*t^4.733 + 2*t^4.976 + 2*t^5.17 + 4*t^5.22 + 3*t^5.269 + 2*t^5.463 + 2*t^5.513 + t^5.707 + 7*t^5.756 - 2*t^6. - t^4.561/y - t^4.561*y | detail |