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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6374 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6608 | 0.8178 | 0.808 | [X:[1.3333], M:[1.1281, 0.7176, 0.9737, 0.8719, 1.1281, 0.6667, 0.8719, 1.2824, 0.821], q:[0.5131, 0.3588], qb:[0.5131, 0.7693], phi:[0.4614]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [0], [2], [6], [8]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{9}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{9}$ | ${}M_{1}M_{7}$ | -3 | t^2.463 + 2*t^2.616 + t^2.768 + t^2.921 + t^3.384 + 2*t^3.847 + 2*t^4. + 3*t^4.463 + t^4.926 + 2*t^5.079 + 4*t^5.232 + 3*t^5.384 + t^5.537 + t^5.69 + t^5.842 + t^5.847 - 3*t^6. + t^6.305 + 2*t^6.31 + 3*t^6.463 + 3*t^6.616 + 2*t^6.768 + 3*t^6.926 + 4*t^7.079 + 2*t^7.232 - t^7.384 + t^7.389 + 2*t^7.542 + 4*t^7.695 + 8*t^7.847 + 3*t^8. + 2*t^8.153 + 2*t^8.305 + 5*t^8.31 + t^8.458 - t^8.463 + t^8.611 - 7*t^8.616 + t^8.763 - 4*t^8.768 + 2*t^8.774 - 2*t^8.921 + 8*t^8.926 - t^4.384/y - t^6.847/y - t^7.153/y - t^7.305/y + t^7.463/y + t^7.616/y + t^7.921/y + (2*t^8.079)/y + (2*t^8.232)/y + (3*t^8.384)/y + (2*t^8.537)/y + t^8.69/y + t^8.847/y - t^4.384*y - t^6.847*y - t^7.153*y - t^7.305*y + t^7.463*y + t^7.616*y + t^7.921*y + 2*t^8.079*y + 2*t^8.232*y + 3*t^8.384*y + 2*t^8.537*y + t^8.69*y + t^8.847*y | g1^8*t^2.463 + 2*g1^2*t^2.616 + t^2.768/g1^4 + t^2.921/g1^10 + t^3.384/g1^2 + 2*g1^6*t^3.847 + 2*t^4. + 3*g1^8*t^4.463 + g1^16*t^4.926 + 2*g1^10*t^5.079 + 4*g1^4*t^5.232 + (3*t^5.384)/g1^2 + t^5.537/g1^8 + t^5.69/g1^14 + t^5.842/g1^20 + g1^6*t^5.847 - 3*t^6. + t^6.305/g1^12 + 2*g1^14*t^6.31 + 3*g1^8*t^6.463 + 3*g1^2*t^6.616 + (2*t^6.768)/g1^4 + 3*g1^16*t^6.926 + 4*g1^10*t^7.079 + 2*g1^4*t^7.232 - t^7.384/g1^2 + g1^24*t^7.389 + 2*g1^18*t^7.542 + 4*g1^12*t^7.695 + 8*g1^6*t^7.847 + 3*t^8. + (2*t^8.153)/g1^6 + (2*t^8.305)/g1^12 + 5*g1^14*t^8.31 + t^8.458/g1^18 - g1^8*t^8.463 + t^8.611/g1^24 - 7*g1^2*t^8.616 + t^8.763/g1^30 - (4*t^8.768)/g1^4 + 2*g1^22*t^8.774 - (2*t^8.921)/g1^10 + 8*g1^16*t^8.926 - t^4.384/(g1^2*y) - (g1^6*t^6.847)/y - t^7.153/(g1^6*y) - t^7.305/(g1^12*y) + (g1^8*t^7.463)/y + (g1^2*t^7.616)/y + t^7.921/(g1^10*y) + (2*g1^10*t^8.079)/y + (2*g1^4*t^8.232)/y + (3*t^8.384)/(g1^2*y) + (2*t^8.537)/(g1^8*y) + t^8.69/(g1^14*y) + (g1^6*t^8.847)/y - (t^4.384*y)/g1^2 - g1^6*t^6.847*y - (t^7.153*y)/g1^6 - (t^7.305*y)/g1^12 + g1^8*t^7.463*y + g1^2*t^7.616*y + (t^7.921*y)/g1^10 + 2*g1^10*t^8.079*y + 2*g1^4*t^8.232*y + (3*t^8.384*y)/g1^2 + (2*t^8.537*y)/g1^8 + (t^8.69*y)/g1^14 + g1^6*t^8.847*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 |
---|---|---|---|---|---|---|---|---|---|
4760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6468 | 0.7927 | 0.816 | [X:[1.3333], M:[1.1192, 0.6909, 0.9292, 0.8808, 1.1192, 0.6667, 0.8808, 1.3091], q:[0.5354, 0.3454], qb:[0.5354, 0.7737], phi:[0.4525]] | 2*t^2.642 + t^2.715 + t^2.788 + t^3.358 + t^3.43 + 2*t^3.927 + 2*t^4. + 3*t^4.57 + 3*t^5.285 + 2*t^5.358 + t^5.43 + t^5.503 + t^5.575 - 3*t^6. - t^4.358/y - t^4.358*y | detail |