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 |
---|---|---|---|---|---|---|---|---|---|
47091 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ | 0.71 | 0.8716 | 0.8146 | [M:[1.0, 0.8862, 0.8862, 1.0, 1.0569, 0.9431], q:[0.4716, 0.5284], qb:[0.6422, 0.4716], phi:[0.4716]] | [M:[[1, 1], [-3, 1], [-5, -1], [-1, -1], [2, 0], [-2, 0]], q:[[-2, -1], [1, 0]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$ | -3 | 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. + 4*t^6.903 + t^7.024 + 9*t^7.073 + 8*t^7.244 + t^7.415 + 2*t^7.585 + 2*t^7.756 + 4*t^7.976 + t^8.097 + 3*t^8.147 + 2*t^8.268 + 6*t^8.317 + 9*t^8.488 + t^8.78 - 6*t^8.829 - t^4.415/y - (2*t^7.073)/y - t^7.244/y + t^7.585/y + (2*t^7.756)/y + t^8.317/y + (4*t^8.488)/y + (5*t^8.659)/y + (4*t^8.829)/y - t^4.415*y - 2*t^7.073*y - t^7.244*y + t^7.585*y + 2*t^7.756*y + t^8.317*y + 4*t^8.488*y + 5*t^8.659*y + 4*t^8.829*y | t^2.659/(g1^5*g2) + (g2*t^2.659)/g1^3 + (2*t^2.829)/g1^2 + t^3./(g1*g2) + g1*g2*t^3. + g1^6*t^3.512 + t^4.244/g1^3 + t^4.244/(g1^5*g2^2) + (g2^2*t^4.244)/g1 + t^4.415/(g1^2*g2) + g2*t^4.415 + g1*t^4.585 + (g1^2*t^4.756)/g2 + g1^4*g2*t^4.756 + g1^5*t^4.927 + g1^9*t^5.268 + t^5.317/g1^8 + t^5.317/(g1^10*g2^2) + (g2^2*t^5.317)/g1^6 + t^5.488/(g1^7*g2) + (g2*t^5.488)/g1^5 + (4*t^5.659)/g1^4 + t^5.659/(g1^6*g2^2) + (g2^2*t^5.659)/g1^2 + t^5.829/(g1^3*g2) + (g2*t^5.829)/g1 - 3*t^6. + t^6.903/(g1^10*g2^3) + t^6.903/(g1^8*g2) + (g2*t^6.903)/g1^6 + (g2^3*t^6.903)/g1^4 + g1^12*t^7.024 + (3*t^7.073)/g1^5 + (3*t^7.073)/(g1^7*g2^2) + (3*g2^2*t^7.073)/g1^3 + t^7.244/(g1^6*g2^3) + (3*t^7.244)/(g1^4*g2) + (3*g2*t^7.244)/g1^2 + g2^3*t^7.244 + t^7.415/g1 + t^7.585/g2 + g1^2*g2*t^7.585 + (g1*t^7.756)/g2^2 + g1^5*g2^2*t^7.756 + t^7.976/(g1^15*g2^3) + t^7.976/(g1^13*g2) + (g2*t^7.976)/g1^11 + (g2^3*t^7.976)/g1^9 + g1^7*t^8.097 + t^8.147/g1^10 + t^8.147/(g1^12*g2^2) + (g2^2*t^8.147)/g1^8 + (g1^8*t^8.268)/g2 + g1^10*g2*t^8.268 + t^8.317/(g1^11*g2^3) + (2*t^8.317)/(g1^9*g2) + (2*g2*t^8.317)/g1^7 + (g2^3*t^8.317)/g1^5 + (5*t^8.488)/g1^6 + t^8.488/(g1^10*g2^4) + t^8.488/(g1^8*g2^2) + (g2^2*t^8.488)/g1^4 + (g2^4*t^8.488)/g1^2 + t^8.659/(g1^7*g2^3) - t^8.659/(g1^5*g2) - (g2*t^8.659)/g1^3 + (g2^3*t^8.659)/g1 + g1^15*t^8.78 - (6*t^8.829)/g1^2 - t^4.415/(g1*y) - t^7.073/(g1^6*g2*y) - (g2*t^7.073)/(g1^4*y) - t^7.244/(g1^3*y) + (g1*t^7.585)/y + (g1^2*t^7.756)/(g2*y) + (g1^4*g2*t^7.756)/y + t^8.317/(g1^8*y) + (2*t^8.488)/(g1^7*g2*y) + (2*g2*t^8.488)/(g1^5*y) + (3*t^8.659)/(g1^4*y) + t^8.659/(g1^6*g2^2*y) + (g2^2*t^8.659)/(g1^2*y) + (2*t^8.829)/(g1^3*g2*y) + (2*g2*t^8.829)/(g1*y) - (t^4.415*y)/g1 - (t^7.073*y)/(g1^6*g2) - (g2*t^7.073*y)/g1^4 - (t^7.244*y)/g1^3 + g1*t^7.585*y + (g1^2*t^7.756*y)/g2 + g1^4*g2*t^7.756*y + (t^8.317*y)/g1^8 + (2*t^8.488*y)/(g1^7*g2) + (2*g2*t^8.488*y)/g1^5 + (3*t^8.659*y)/g1^4 + (t^8.659*y)/(g1^6*g2^2) + (g2^2*t^8.659*y)/g1^2 + (2*t^8.829*y)/(g1^3*g2) + (2*g2*t^8.829*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
50969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{6}$ | 0.6965 | 0.8541 | 0.8154 | [M:[1.0449, 1.015, 0.9252, 0.9551, 1.015, 0.985], q:[0.4477, 0.5075], qb:[0.5374, 0.5374], phi:[0.4925]] | t^2.776 + t^2.865 + 2*t^2.955 + t^3.045 + 2*t^3.135 + t^4.164 + t^4.343 + 2*t^4.433 + t^4.522 + 2*t^4.612 + 3*t^4.702 + t^5.551 + t^5.641 + t^5.731 + 2*t^5.821 + 4*t^5.91 - 2*t^6. - t^4.478/y - t^4.478*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 |
---|---|---|---|---|---|---|---|---|---|
46615 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7171 | 0.8807 | 0.8142 | [M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. - t^4.382/y - t^4.382*y | detail |