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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3967 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6346 | 0.794 | 0.7993 | [X:[1.6], M:[0.7249, 0.8751, 1.2, 0.4, 0.7625, 0.7625, 1.1249], q:[0.4188, 0.8563], qb:[0.3812, 0.7437], phi:[0.4]] | [X:[[0]], M:[[4], [-4], [0], [0], [2], [2], [4]], q:[[-1], [-3]], qb:[[1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | t^2.175 + 2*t^2.287 + t^2.4 + t^3.375 + 2*t^3.487 + 2*t^3.6 + t^4.349 + 2*t^4.462 + 4*t^4.575 + 2*t^4.687 + 2*t^4.8 + t^5.549 + 4*t^5.662 + 6*t^5.775 + 4*t^5.887 - t^6. - 2*t^6.113 - t^6.225 + t^6.524 + 2*t^6.637 + 5*t^6.749 + 8*t^6.862 + 8*t^6.975 + 4*t^7.087 - 4*t^7.313 - 2*t^7.425 + t^7.724 + 4*t^7.837 + 9*t^7.949 + 10*t^8.062 + 5*t^8.175 - 4*t^8.287 - 5*t^8.4 - 6*t^8.513 - 2*t^8.625 + t^8.699 + 2*t^8.811 + 5*t^8.924 - t^4.2/y - t^6.375/y - (2*t^6.487)/y + (2*t^7.462)/y + (2*t^7.575)/y + (2*t^7.687)/y + (2*t^7.913)/y + t^8.025/y + (2*t^8.662)/y + (4*t^8.775)/y + (6*t^8.887)/y - t^4.2*y - t^6.375*y - 2*t^6.487*y + 2*t^7.462*y + 2*t^7.575*y + 2*t^7.687*y + 2*t^7.913*y + t^8.025*y + 2*t^8.662*y + 4*t^8.775*y + 6*t^8.887*y | g1^4*t^2.175 + 2*g1^2*t^2.287 + t^2.4 + g1^4*t^3.375 + 2*g1^2*t^3.487 + 2*t^3.6 + g1^8*t^4.349 + 2*g1^6*t^4.462 + 4*g1^4*t^4.575 + 2*g1^2*t^4.687 + 2*t^4.8 + g1^8*t^5.549 + 4*g1^6*t^5.662 + 6*g1^4*t^5.775 + 4*g1^2*t^5.887 - t^6. - (2*t^6.113)/g1^2 - t^6.225/g1^4 + g1^12*t^6.524 + 2*g1^10*t^6.637 + 5*g1^8*t^6.749 + 8*g1^6*t^6.862 + 8*g1^4*t^6.975 + 4*g1^2*t^7.087 - (4*t^7.313)/g1^2 - (2*t^7.425)/g1^4 + g1^12*t^7.724 + 4*g1^10*t^7.837 + 9*g1^8*t^7.949 + 10*g1^6*t^8.062 + 5*g1^4*t^8.175 - 4*g1^2*t^8.287 - 5*t^8.4 - (6*t^8.513)/g1^2 - (2*t^8.625)/g1^4 + g1^16*t^8.699 + 2*g1^14*t^8.811 + 5*g1^12*t^8.924 - t^4.2/y - (g1^4*t^6.375)/y - (2*g1^2*t^6.487)/y + (2*g1^6*t^7.462)/y + (2*g1^4*t^7.575)/y + (2*g1^2*t^7.687)/y + (2*t^7.913)/(g1^2*y) + t^8.025/(g1^4*y) + (2*g1^6*t^8.662)/y + (4*g1^4*t^8.775)/y + (6*g1^2*t^8.887)/y - t^4.2*y - g1^4*t^6.375*y - 2*g1^2*t^6.487*y + 2*g1^6*t^7.462*y + 2*g1^4*t^7.575*y + 2*g1^2*t^7.687*y + (2*t^7.913*y)/g1^2 + (t^8.025*y)/g1^4 + 2*g1^6*t^8.662*y + 4*g1^4*t^8.775*y + 6*g1^2*t^8.887*y |
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 |
---|---|---|---|---|---|---|---|---|---|
3699 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6475 | 0.812 | 0.7974 | [X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]] | t^2.303 + 2*t^2.352 + t^2.4 + t^2.497 + 2*t^3.552 + 2*t^3.6 + t^4.607 + 2*t^4.655 + 4*t^4.703 + 2*t^4.752 + 3*t^4.8 + 2*t^4.848 + t^4.897 + t^4.993 + 2*t^5.855 + 5*t^5.903 + 4*t^5.952 - t^6. - t^4.2/y - t^4.2*y | detail |