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 |
---|---|---|---|---|---|---|---|---|---|
2114 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6706 | 0.8652 | 0.7752 | [M:[1.2246, 1.1123, 0.7754, 0.8877, 0.7754, 0.7246, 0.8877], q:[0.75, 0.4131], qb:[0.3623, 0.4746], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [-2], [2], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0 | t^2.174 + 2*t^2.326 + t^2.511 + 2*t^2.663 + t^3. + t^3.489 + t^3.674 + t^3.979 + t^4.011 + t^4.163 + 2*t^4.348 + 2*t^4.5 + 3*t^4.652 + t^4.685 + 4*t^4.837 + 4*t^4.989 + t^5.021 + 3*t^5.174 + 5*t^5.326 + t^5.511 + 2*t^5.663 + t^5.815 + 2*t^6.152 + t^6.185 + 2*t^6.305 + 2*t^6.337 + 2*t^6.489 + 3*t^6.521 + 2*t^6.642 + 5*t^6.674 + 3*t^6.826 + 2*t^6.858 + 5*t^6.979 + 5*t^7.011 + 5*t^7.163 + t^7.195 + 4*t^7.315 + 4*t^7.348 + t^7.468 + 6*t^7.5 + t^7.532 + 8*t^7.652 + 2*t^7.685 + 5*t^7.837 + t^7.957 + 6*t^7.989 + 2*t^8.021 + 2*t^8.142 - 2*t^8.174 + 2*t^8.326 + t^8.358 + 2*t^8.479 - t^8.511 + 3*t^8.631 - 3*t^8.663 + 4*t^8.695 + 5*t^8.815 + 3*t^8.848 + 4*t^8.968 - t^4.5/y - t^6.674/y - t^6.826/y - t^7.163/y + (2*t^7.5)/y + t^7.652/y + t^7.685/y + (5*t^7.837)/y + (4*t^7.989)/y + (4*t^8.174)/y + (4*t^8.326)/y + t^8.511/y + (3*t^8.663)/y + (2*t^8.815)/y - t^4.5*y - t^6.674*y - t^6.826*y - t^7.163*y + 2*t^7.5*y + t^7.652*y + t^7.685*y + 5*t^7.837*y + 4*t^7.989*y + 4*t^8.174*y + 4*t^8.326*y + t^8.511*y + 3*t^8.663*y + 2*t^8.815*y | g1^2*t^2.174 + (2*t^2.326)/g1^2 + g1^3*t^2.511 + (2*t^2.663)/g1 + t^3. + t^3.489/g1^3 + g1^2*t^3.674 + t^3.979/g1^6 + g1^3*t^4.011 + t^4.163/g1 + 2*g1^4*t^4.348 + 2*t^4.5 + (3*t^4.652)/g1^4 + g1^5*t^4.685 + 4*g1*t^4.837 + (4*t^4.989)/g1^3 + g1^6*t^5.021 + 3*g1^2*t^5.174 + (5*t^5.326)/g1^2 + g1^3*t^5.511 + (2*t^5.663)/g1 + t^5.815/g1^5 + (2*t^6.152)/g1^4 + g1^5*t^6.185 + (2*t^6.305)/g1^8 + 2*g1*t^6.337 + (2*t^6.489)/g1^3 + 3*g1^6*t^6.521 + (2*t^6.642)/g1^7 + 5*g1^2*t^6.674 + (3*t^6.826)/g1^2 + 2*g1^7*t^6.858 + (5*t^6.979)/g1^6 + 5*g1^3*t^7.011 + (5*t^7.163)/g1 + g1^8*t^7.195 + (4*t^7.315)/g1^5 + 4*g1^4*t^7.348 + t^7.468/g1^9 + 6*t^7.5 + g1^9*t^7.532 + (8*t^7.652)/g1^4 + 2*g1^5*t^7.685 + 5*g1*t^7.837 + t^7.957/g1^12 + (6*t^7.989)/g1^3 + 2*g1^6*t^8.021 + (2*t^8.142)/g1^7 - 2*g1^2*t^8.174 + (2*t^8.326)/g1^2 + g1^7*t^8.358 + (2*t^8.479)/g1^6 - g1^3*t^8.511 + (3*t^8.631)/g1^10 - (3*t^8.663)/g1 + 4*g1^8*t^8.695 + (5*t^8.815)/g1^5 + 3*g1^4*t^8.848 + (4*t^8.968)/g1^9 - t^4.5/y - (g1^2*t^6.674)/y - t^6.826/(g1^2*y) - t^7.163/(g1*y) + (2*t^7.5)/y + t^7.652/(g1^4*y) + (g1^5*t^7.685)/y + (5*g1*t^7.837)/y + (4*t^7.989)/(g1^3*y) + (4*g1^2*t^8.174)/y + (4*t^8.326)/(g1^2*y) + (g1^3*t^8.511)/y + (3*t^8.663)/(g1*y) + (2*t^8.815)/(g1^5*y) - t^4.5*y - g1^2*t^6.674*y - (t^6.826*y)/g1^2 - (t^7.163*y)/g1 + 2*t^7.5*y + (t^7.652*y)/g1^4 + g1^5*t^7.685*y + 5*g1*t^7.837*y + (4*t^7.989*y)/g1^3 + 4*g1^2*t^8.174*y + (4*t^8.326*y)/g1^2 + g1^3*t^8.511*y + (3*t^8.663*y)/g1 + (2*t^8.815*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
4097 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6915 | 0.9065 | 0.7628 | [M:[1.2237, 1.1118, 0.7763, 0.8882, 0.7763, 0.7237, 0.8882, 0.671], q:[0.75, 0.4145], qb:[0.3618, 0.4737], phi:[0.5]] | t^2.013 + t^2.171 + 2*t^2.329 + t^2.506 + 2*t^2.665 + t^3. + t^3.494 + t^3.671 + t^4.006 + t^4.026 + t^4.165 + t^4.184 + 4*t^4.342 + 2*t^4.5 + t^4.519 + 3*t^4.658 + 3*t^4.677 + 4*t^4.835 + 4*t^4.994 + 2*t^5.013 + 3*t^5.171 + 5*t^5.329 + 2*t^5.506 + 2*t^5.665 + t^5.684 + t^5.823 - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
1014 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6606 | 0.8481 | 0.7789 | [M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | t^2.157 + 2*t^2.343 + t^2.486 + t^2.671 + t^3. + t^3.329 + t^3.514 + t^3.657 + t^3.986 + t^4.028 + t^4.171 + 2*t^4.315 + 2*t^4.5 + t^4.643 + 3*t^4.685 + 3*t^4.829 + t^4.972 + 2*t^5.014 + 2*t^5.157 + 3*t^5.343 + 2*t^5.486 + 3*t^5.671 + t^5.815 + t^5.857 + t^6. - t^4.5/y - t^4.5*y | detail |