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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45890 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{4}$ | 0.6994 | 0.8663 | 0.8073 | [M:[0.9428, 0.9428, 0.9428], q:[0.5858, 0.4714], qb:[0.4714, 0.4714], phi:[0.5]] | [M:[[0, 1, 1], [1, 0, 1], [1, 1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -10 | 6*t^2.828 + t^3. + 6*t^4.328 + 3*t^4.672 + t^5.015 + 18*t^5.657 + 6*t^5.828 - 10*t^6. - 3*t^6.343 + 30*t^7.157 + 40*t^8.485 + 33*t^8.657 - 54*t^8.828 - t^4.5/y - (3*t^7.328)/y + (3*t^7.672)/y + (15*t^8.657)/y + (6*t^8.828)/y - t^4.5*y - 3*t^7.328*y + 3*t^7.672*y + 15*t^8.657*y + 6*t^8.828*y | 2*g1*g2*t^2.828 + 2*g1*g3*t^2.828 + 2*g2*g3*t^2.828 + t^3. + g1^2*t^4.328 + g1*g2*t^4.328 + g2^2*t^4.328 + g1*g3*t^4.328 + g2*g3*t^4.328 + g3^2*t^4.328 + t^4.672/(g1*g2) + t^4.672/(g1*g3) + t^4.672/(g2*g3) + t^5.015/(g1^2*g2^2*g3^2) + 3*g1^2*g2^2*t^5.657 + 3*g1^2*g2*g3*t^5.657 + 3*g1*g2^2*g3*t^5.657 + 3*g1^2*g3^2*t^5.657 + 3*g1*g2*g3^2*t^5.657 + 3*g2^2*g3^2*t^5.657 + 2*g1*g2*t^5.828 + 2*g1*g3*t^5.828 + 2*g2*g3*t^5.828 - 4*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g1*t^6.)/g3 - (g2*t^6.)/g3 - (g3*t^6.)/g1 - (g3*t^6.)/g2 - t^6.343/(g1*g2*g3^2) - t^6.343/(g1*g2^2*g3) - t^6.343/(g1^2*g2*g3) + 2*g1^3*g2*t^7.157 + 2*g1^2*g2^2*t^7.157 + 2*g1*g2^3*t^7.157 + 2*g1^3*g3*t^7.157 + 4*g1^2*g2*g3*t^7.157 + 4*g1*g2^2*g3*t^7.157 + 2*g2^3*g3*t^7.157 + 2*g1^2*g3^2*t^7.157 + 4*g1*g2*g3^2*t^7.157 + 2*g2^2*g3^2*t^7.157 + 2*g1*g3^3*t^7.157 + 2*g2*g3^3*t^7.157 + 4*g1^3*g2^3*t^8.485 + 4*g1^3*g2^2*g3*t^8.485 + 4*g1^2*g2^3*g3*t^8.485 + 4*g1^3*g2*g3^2*t^8.485 + 4*g1^2*g2^2*g3^2*t^8.485 + 4*g1*g2^3*g3^2*t^8.485 + 4*g1^3*g3^3*t^8.485 + 4*g1^2*g2*g3^3*t^8.485 + 4*g1*g2^2*g3^3*t^8.485 + 4*g2^3*g3^3*t^8.485 + g1^4*t^8.657 + g1^3*g2*t^8.657 + 4*g1^2*g2^2*t^8.657 + g1*g2^3*t^8.657 + g2^4*t^8.657 + g1^3*g3*t^8.657 + 4*g1^2*g2*g3*t^8.657 + 4*g1*g2^2*g3*t^8.657 + g2^3*g3*t^8.657 + 4*g1^2*g3^2*t^8.657 + 4*g1*g2*g3^2*t^8.657 + 4*g2^2*g3^2*t^8.657 + g1*g3^3*t^8.657 + g2*g3^3*t^8.657 + g3^4*t^8.657 - 4*g1^2*t^8.828 - 10*g1*g2*t^8.828 - 4*g2^2*t^8.828 - (2*g1^2*g2*t^8.828)/g3 - (2*g1*g2^2*t^8.828)/g3 - 10*g1*g3*t^8.828 - (2*g1^2*g3*t^8.828)/g2 - 10*g2*g3*t^8.828 - (2*g2^2*g3*t^8.828)/g1 - 4*g3^2*t^8.828 - (2*g1*g3^2*t^8.828)/g2 - (2*g2*g3^2*t^8.828)/g1 - t^4.5/y - (g1*g2*t^7.328)/y - (g1*g3*t^7.328)/y - (g2*g3*t^7.328)/y + t^7.672/(g1*g2*y) + t^7.672/(g1*g3*y) + t^7.672/(g2*g3*y) + (g1^2*g2^2*t^8.657)/y + (4*g1^2*g2*g3*t^8.657)/y + (4*g1*g2^2*g3*t^8.657)/y + (g1^2*g3^2*t^8.657)/y + (4*g1*g2*g3^2*t^8.657)/y + (g2^2*g3^2*t^8.657)/y + (2*g1*g2*t^8.828)/y + (2*g1*g3*t^8.828)/y + (2*g2*g3*t^8.828)/y - t^4.5*y - g1*g2*t^7.328*y - g1*g3*t^7.328*y - g2*g3*t^7.328*y + (t^7.672*y)/(g1*g2) + (t^7.672*y)/(g1*g3) + (t^7.672*y)/(g2*g3) + g1^2*g2^2*t^8.657*y + 4*g1^2*g2*g3*t^8.657*y + 4*g1*g2^2*g3*t^8.657*y + g1^2*g3^2*t^8.657*y + 4*g1*g2*g3^2*t^8.657*y + g2^2*g3^2*t^8.657*y + 2*g1*g2*t^8.828*y + 2*g1*g3*t^8.828*y + 2*g2*g3*t^8.828*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 |
---|---|---|---|---|---|---|---|---|---|
45843 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.7577 | 0.9271 | 0.8174 | [M:[0.7655, 0.7655, 0.7655], q:[0.6539, 0.5806], qb:[0.5806, 0.5806], phi:[0.4011]] | 3*t^2.296 + t^2.406 + 3*t^3.484 + 6*t^4.593 + 6*t^4.687 + 3*t^4.703 + t^4.813 + 3*t^4.907 + t^5.127 + 6*t^5.78 + 3*t^5.89 - 10*t^6. - t^4.203/y - t^4.203*y | detail |