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 |
---|---|---|---|---|---|---|---|---|---|
783 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.7121 | 0.8517 | 0.8362 | [M:[0.8744, 1.1256, 0.8744, 0.8278, 1.1256, 1.1256], q:[0.5395, 0.5861], qb:[0.5861, 0.5395], phi:[0.4372]] | [M:[[-2, -2], [2, 2], [-2, -2], [-4, 0], [2, 2], [2, 2]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -8 | t^2.483 + t^3.237 + 5*t^3.377 + 3*t^4.549 + 4*t^4.688 + 3*t^4.828 + t^4.967 + t^5.72 + t^5.86 - 8*t^6. - 4*t^6.14 + t^6.474 + 5*t^6.614 + 14*t^6.754 + 3*t^7.032 - 4*t^7.312 + t^7.45 - 4*t^7.451 + 3*t^7.786 + 12*t^7.925 + 12*t^8.065 + t^8.204 + 8*t^8.205 + t^8.344 - 5*t^8.483 + 3*t^8.763 + t^8.958 - t^4.312/y - t^6.795/y + t^7.828/y + t^8.72/y + (5*t^8.86)/y - t^4.312*y - t^6.795*y + t^7.828*y + t^8.72*y + 5*t^8.86*y | t^2.483/g1^4 + g2^4*t^3.237 + 5*g1^2*g2^2*t^3.377 + (3*g2^3*t^4.549)/g1 + 4*g1*g2*t^4.688 + (3*g1^3*t^4.828)/g2 + t^4.967/g1^8 + (g2^4*t^5.72)/g1^4 + (g2^2*t^5.86)/g1^2 - 8*t^6. - (4*g1^2*t^6.14)/g2^2 + g2^8*t^6.474 + 5*g1^2*g2^6*t^6.614 + 14*g1^4*g2^4*t^6.754 + (3*g2^3*t^7.032)/g1^5 - (4*t^7.312)/(g1*g2) + t^7.45/g1^12 - (4*g1*t^7.451)/g2^3 + (3*g2^7*t^7.786)/g1 + 12*g1*g2^5*t^7.925 + 12*g1^3*g2^3*t^8.065 + (g2^4*t^8.204)/g1^8 + 8*g1^5*g2*t^8.205 + (g2^2*t^8.344)/g1^6 - (5*t^8.483)/g1^4 + (3*t^8.763)/g2^4 + (g2^8*t^8.958)/g1^4 - t^4.312/(g1*g2*y) - t^6.795/(g1^5*g2*y) + (g1^3*t^7.828)/(g2*y) + (g2^4*t^8.72)/(g1^4*y) + (5*g2^2*t^8.86)/(g1^2*y) - (t^4.312*y)/(g1*g2) - (t^6.795*y)/(g1^5*g2) + (g1^3*t^7.828*y)/g2 + (g2^4*t^8.72*y)/g1^4 + (5*g2^2*t^8.86*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
493 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.7247 | 0.8687 | 0.8342 | [M:[0.8416, 1.1584, 0.8416, 0.7995, 1.1584], q:[0.5581, 0.6003], qb:[0.6003, 0.5581], phi:[0.4208]] | t^2.398 + t^2.525 + t^3.349 + 4*t^3.475 + 3*t^4.611 + 4*t^4.738 + t^4.797 + 3*t^4.864 + t^4.923 + t^5.05 + t^5.747 + t^5.874 - 4*t^6. - t^4.262/y - t^4.262*y | detail |