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 |
---|---|---|---|---|---|---|---|---|---|
2487 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ | 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]] | [M:[[4], [-8], [8], [-12], [0], [-4], [4]], q:[[-6], [2]], qb:[[-2], [10]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | 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. + 2*t^6.033 - t^6.065 + t^6.098 + 2*t^6.13 + t^6.196 + t^7.093 + 2*t^7.158 + 2*t^7.223 + t^7.256 + 2*t^7.288 + 3*t^7.353 + t^7.386 + 4*t^7.419 - t^7.451 + 3*t^7.484 + t^7.516 + 2*t^7.549 - t^7.581 + 3*t^7.614 + 3*t^7.679 - t^7.712 + t^7.744 + t^7.777 + t^7.81 - t^7.842 + 2*t^7.875 + t^7.94 + t^8.413 + t^8.479 + 2*t^8.576 + 2*t^8.642 + t^8.674 + 2*t^8.707 + t^8.739 + 2*t^8.772 - 3*t^8.804 + 5*t^8.837 - 6*t^8.87 + 5*t^8.902 - 2*t^8.935 + 2*t^8.967 - t^4.484/y - t^7.288/y + t^7.419/y - t^7.451/y + t^7.516/y - t^7.549/y + t^7.679/y + t^8.674/y + t^8.772/y + t^8.804/y + t^8.837/y + (3*t^8.87)/y + (3*t^8.935)/y + t^8.967/y - t^4.484*y - t^7.288*y + t^7.419*y - t^7.451*y + t^7.516*y - t^7.549*y + t^7.679*y + t^8.674*y + t^8.772*y + t^8.804*y + t^8.837*y + 3*t^8.87*y + 3*t^8.935*y + t^8.967*y | t^2.804/g1^12 + t^2.87/g1^8 + t^2.967/g1^2 + t^3. + 2*g1^4*t^3.065 + g1^8*t^3.13 + t^4.288/g1^13 + t^4.353/g1^9 + (2*t^4.419)/g1^5 + t^4.484/g1 + 2*g1^3*t^4.549 + g1^7*t^4.614 + g1^11*t^4.679 + g1^19*t^4.81 + t^5.609/g1^24 + t^5.674/g1^20 + t^5.772/g1^14 + t^5.837/g1^10 + t^5.87/g1^8 + (2*t^5.935)/g1^4 + t^5.967/g1^2 - 2*t^6. + 2*g1^2*t^6.033 - g1^4*t^6.065 + g1^6*t^6.098 + 2*g1^8*t^6.13 + g1^12*t^6.196 + t^7.093/g1^25 + (2*t^7.158)/g1^21 + (2*t^7.223)/g1^17 + t^7.256/g1^15 + (2*t^7.288)/g1^13 + (3*t^7.353)/g1^9 + t^7.386/g1^7 + (4*t^7.419)/g1^5 - t^7.451/g1^3 + (3*t^7.484)/g1 + g1*t^7.516 + 2*g1^3*t^7.549 - g1^5*t^7.581 + 3*g1^7*t^7.614 + 3*g1^11*t^7.679 - g1^13*t^7.712 + g1^15*t^7.744 + g1^17*t^7.777 + g1^19*t^7.81 - g1^21*t^7.842 + 2*g1^23*t^7.875 + g1^27*t^7.94 + t^8.413/g1^36 + t^8.479/g1^32 + (2*t^8.576)/g1^26 + (2*t^8.642)/g1^22 + t^8.674/g1^20 + (2*t^8.707)/g1^18 + t^8.739/g1^16 + (2*t^8.772)/g1^14 - (3*t^8.804)/g1^12 + (5*t^8.837)/g1^10 - (6*t^8.87)/g1^8 + (5*t^8.902)/g1^6 - (2*t^8.935)/g1^4 + (2*t^8.967)/g1^2 - t^4.484/(g1*y) - t^7.288/(g1^13*y) + t^7.419/(g1^5*y) - t^7.451/(g1^3*y) + (g1*t^7.516)/y - (g1^3*t^7.549)/y + (g1^11*t^7.679)/y + t^8.674/(g1^20*y) + t^8.772/(g1^14*y) + t^8.804/(g1^12*y) + t^8.837/(g1^10*y) + (3*t^8.87)/(g1^8*y) + (3*t^8.935)/(g1^4*y) + t^8.967/(g1^2*y) - (t^4.484*y)/g1 - (t^7.288*y)/g1^13 + (t^7.419*y)/g1^5 - (t^7.451*y)/g1^3 + g1*t^7.516*y - g1^3*t^7.549*y + g1^11*t^7.679*y + (t^8.674*y)/g1^20 + (t^8.772*y)/g1^14 + (t^8.804*y)/g1^12 + (t^8.837*y)/g1^10 + (3*t^8.87*y)/g1^8 + (3*t^8.935*y)/g1^4 + (t^8.967*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 |
---|---|---|---|---|---|---|---|---|
4540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}M_{8}$ | 0.7002 | 0.8622 | 0.8121 | [M:[1.0334, 0.9332, 1.0668, 0.8998, 1.0, 0.9666, 1.0334, 0.9332], q:[0.4499, 0.5167], qb:[0.4833, 0.5835], phi:[0.4917]] | t^2.699 + 2*t^2.8 + t^2.95 + t^3. + 2*t^3.1 + t^4.174 + t^4.275 + 2*t^4.375 + t^4.475 + 2*t^4.575 + t^4.675 + t^4.776 + t^4.976 + t^5.399 + 2*t^5.499 + 2*t^5.599 + t^5.649 + 2*t^5.75 + 2*t^5.8 + 3*t^5.9 + t^5.95 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.479/y - t^4.479*y | detail |