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 |
---|---|---|---|---|---|---|---|---|---|
606 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.7051 | 0.8629 | 0.8172 | [M:[0.9027, 1.0, 0.9027, 1.0, 1.0486], q:[0.6216, 0.4757], qb:[0.4757, 0.5243], phi:[0.4757]] | [M:[[1, -3], [-1, -1], [-1, -5], [1, 1], [0, 2]], q:[[0, 5], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{4}^{2}$ | -2 | 2*t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.438 + 3*t^4.281 + 2*t^4.427 + t^4.573 + 2*t^4.719 + t^4.865 + t^5.157 + 3*t^5.416 + 4*t^5.708 + 2*t^5.854 - 2*t^6. + 2*t^6.146 + t^6.584 + t^6.876 + 4*t^6.989 + 6*t^7.135 + 6*t^7.281 + 3*t^7.427 + 2*t^7.573 + 2*t^7.719 + 2*t^7.865 + t^8.011 + 4*t^8.124 + 2*t^8.157 + t^8.303 + 4*t^8.416 + 6*t^8.562 + t^8.595 - 2*t^8.708 + t^8.854 - t^4.427/y - (2*t^7.135)/y + (2*t^7.719)/y + t^8.416/y + (2*t^8.562)/y + (4*t^8.708)/y + (4*t^8.854)/y - t^4.427*y - 2*t^7.135*y + 2*t^7.719*y + t^8.416*y + 2*t^8.562*y + 4*t^8.708*y + 4*t^8.854*y | t^2.708/(g1*g2^5) + (g1*t^2.708)/g2^3 + t^2.854/g2^2 + t^3./(g1*g2) + g1*g2*t^3. + g2^2*t^3.146 + g2^6*t^3.438 + t^4.281/(g1^2*g2^5) + t^4.281/g2^3 + (g1^2*t^4.281)/g2 + g1*t^4.427 + t^4.427/(g1*g2^2) + g2*t^4.573 + (g2^2*t^4.719)/g1 + g1*g2^4*t^4.719 + g2^5*t^4.865 + g2^9*t^5.157 + t^5.416/(g1^2*g2^10) + t^5.416/g2^8 + (g1^2*t^5.416)/g2^6 + t^5.708/(g1^2*g2^6) + (2*t^5.708)/g2^4 + (g1^2*t^5.708)/g2^2 + t^5.854/(g1*g2^3) + (g1*t^5.854)/g2 - 2*t^6. + (g2*t^6.146)/g1 + g1*g2^3*t^6.146 + g2^8*t^6.584 + g2^12*t^6.876 + t^6.989/(g1^3*g2^10) + t^6.989/(g1*g2^8) + (g1*t^6.989)/g2^6 + (g1^3*t^6.989)/g2^4 + (2*t^7.135)/(g1^2*g2^7) + (2*t^7.135)/g2^5 + (2*g1^2*t^7.135)/g2^3 + g1^3*t^7.281 + t^7.281/(g1^3*g2^6) + (2*t^7.281)/(g1*g2^4) + (2*g1*t^7.281)/g2^2 + t^7.427/(g1^2*g2^3) + t^7.427/g2 + g1^2*g2*t^7.427 + t^7.573/g1 + g1*g2^2*t^7.573 + (g2*t^7.719)/g1^2 + g1^2*g2^5*t^7.719 + (g2^4*t^7.865)/g1 + g1*g2^6*t^7.865 + g2^7*t^8.011 + t^8.124/(g1^3*g2^15) + t^8.124/(g1*g2^13) + (g1*t^8.124)/g2^11 + (g1^3*t^8.124)/g2^9 + (g2^8*t^8.157)/g1 + g1*g2^10*t^8.157 + g2^11*t^8.303 + t^8.416/(g1^3*g2^11) + t^8.416/(g1*g2^9) + (g1*t^8.416)/g2^7 + (g1^3*t^8.416)/g2^5 + t^8.562/(g1^4*g2^10) + t^8.562/(g1^2*g2^8) + (2*t^8.562)/g2^6 + (g1^2*t^8.562)/g2^4 + (g1^4*t^8.562)/g2^2 + g2^15*t^8.595 + t^8.708/(g1^3*g2^7) - (2*t^8.708)/(g1*g2^5) - (2*g1*t^8.708)/g2^3 + (g1^3*t^8.708)/g2 + g1^2*t^8.854 + t^8.854/(g1^2*g2^4) - t^8.854/g2^2 - t^4.427/(g2*y) - t^7.135/(g1*g2^6*y) - (g1*t^7.135)/(g2^4*y) + (g2^2*t^7.719)/(g1*y) + (g1*g2^4*t^7.719)/y + t^8.416/(g2^8*y) + t^8.562/(g1*g2^7*y) + (g1*t^8.562)/(g2^5*y) + t^8.708/(g1^2*g2^6*y) + (2*t^8.708)/(g2^4*y) + (g1^2*t^8.708)/(g2^2*y) + (2*t^8.854)/(g1*g2^3*y) + (2*g1*t^8.854)/(g2*y) - (t^4.427*y)/g2 - (t^7.135*y)/(g1*g2^6) - (g1*t^7.135*y)/g2^4 + (g2^2*t^7.719*y)/g1 + g1*g2^4*t^7.719*y + (t^8.416*y)/g2^8 + (t^8.562*y)/(g1*g2^7) + (g1*t^8.562*y)/g2^5 + (t^8.708*y)/(g1^2*g2^6) + (2*t^8.708*y)/g2^4 + (g1^2*t^8.708*y)/g2^2 + (2*t^8.854*y)/(g1*g2^3) + (2*g1*t^8.854*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
977 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{6}$ | 0.7063 | 0.8655 | 0.816 | [M:[0.8791, 1.0241, 0.9274, 0.9759, 1.0484, 0.9759], q:[0.621, 0.4999], qb:[0.4517, 0.5242], phi:[0.4758]] | t^2.637 + t^2.782 + t^2.855 + 2*t^2.928 + t^3.145 + t^3.435 + t^4.138 + t^4.282 + t^4.355 + t^4.427 + t^4.5 + t^4.573 + t^4.645 + t^4.79 + t^4.863 + t^5.153 + t^5.275 + t^5.419 + t^5.564 + 2*t^5.565 + 2*t^5.71 + 2*t^5.782 + 2*t^5.855 - 3*t^6. - t^4.427/y - t^4.427*y | detail | |
978 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}M_{6}$ | 0.71 | 0.8716 | 0.8146 | [M:[0.8862, 1.0, 0.8862, 1.0, 1.0569, 0.9431], q:[0.6422, 0.4716], qb:[0.4716, 0.5284], phi:[0.4716]] | 2*t^2.659 + 2*t^2.829 + 2*t^3. + t^3.512 + 3*t^4.244 + 2*t^4.415 + t^4.585 + 2*t^4.756 + t^4.927 + t^5.268 + 3*t^5.317 + 2*t^5.488 + 6*t^5.659 + 2*t^5.829 - 3*t^6. - t^4.415/y - t^4.415*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 |
---|---|---|---|---|---|---|---|---|---|
372 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7103 | 0.8687 | 0.8177 | [M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*y | detail |