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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6380 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6805 | 0.8573 | 0.7937 | [X:[1.3333], M:[1.1382, 0.7479, 1.0243, 0.8618, 1.1382, 0.6667, 0.8618, 0.9757, 0.7806], q:[0.4879, 0.3739], qb:[0.4879, 0.7642], phi:[0.4715]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [0], [2], [10], [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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${}M_{2}$, ${ }M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{9}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}^{2}$ | ${}M_{1}M_{7}$ | -2 | t^2.244 + t^2.342 + 2*t^2.585 + t^2.829 + t^2.927 + t^3.415 + t^3.756 + 2*t^4. + 3*t^4.342 + t^4.487 + t^4.585 + t^4.683 + 2*t^4.829 + 2*t^4.927 + t^5.073 + 5*t^5.171 + t^5.269 + 2*t^5.415 + 2*t^5.513 + 2*t^5.756 + t^5.854 - 2*t^6. + t^6.098 + 2*t^6.244 + 2*t^6.342 + 5*t^6.585 + 4*t^6.683 + t^6.731 + t^6.829 + 7*t^6.927 + t^7.025 + 3*t^7.171 + 5*t^7.269 + t^7.317 + t^7.415 + 3*t^7.513 + t^7.611 + 2*t^7.658 + 7*t^7.756 + 2*t^7.854 + 3*t^8. + 7*t^8.098 + t^8.196 - 4*t^8.244 + 2*t^8.342 + 3*t^8.44 + t^8.487 - 6*t^8.585 + 8*t^8.683 + t^8.782 + t^8.975 - t^4.415/y - t^6.658/y - t^6.756/y - t^7.244/y + (2*t^7.585)/y + (2*t^7.829)/y + (2*t^7.927)/y + (2*t^8.073)/y + (4*t^8.171)/y + t^8.269/y + (2*t^8.415)/y + (2*t^8.513)/y + t^8.658/y + (2*t^8.756)/y - t^8.902/y - t^4.415*y - t^6.658*y - t^6.756*y - t^7.244*y + 2*t^7.585*y + 2*t^7.829*y + 2*t^7.927*y + 2*t^8.073*y + 4*t^8.171*y + t^8.269*y + 2*t^8.415*y + 2*t^8.513*y + t^8.658*y + 2*t^8.756*y - t^8.902*y | t^2.244/g1^6 + g1^8*t^2.342 + 2*g1^2*t^2.585 + t^2.829/g1^4 + g1^10*t^2.927 + t^3.415/g1^2 + g1^6*t^3.756 + 2*t^4. + 3*g1^8*t^4.342 + t^4.487/g1^12 + g1^2*t^4.585 + g1^16*t^4.683 + (2*t^4.829)/g1^4 + 2*g1^10*t^4.927 + t^5.073/g1^10 + 5*g1^4*t^5.171 + g1^18*t^5.269 + (2*t^5.415)/g1^2 + 2*g1^12*t^5.513 + 2*g1^6*t^5.756 + g1^20*t^5.854 - 2*t^6. + g1^14*t^6.098 + (2*t^6.244)/g1^6 + 2*g1^8*t^6.342 + 5*g1^2*t^6.585 + 4*g1^16*t^6.683 + t^6.731/g1^18 + t^6.829/g1^4 + 7*g1^10*t^6.927 + g1^24*t^7.025 + 3*g1^4*t^7.171 + 5*g1^18*t^7.269 + t^7.317/g1^16 + t^7.415/g1^2 + 3*g1^12*t^7.513 + g1^26*t^7.611 + (2*t^7.658)/g1^8 + 7*g1^6*t^7.756 + 2*g1^20*t^7.854 + 3*t^8. + 7*g1^14*t^8.098 + g1^28*t^8.196 - (4*t^8.244)/g1^6 + 2*g1^8*t^8.342 + 3*g1^22*t^8.44 + t^8.487/g1^12 - 6*g1^2*t^8.585 + 8*g1^16*t^8.683 + g1^30*t^8.782 + t^8.975/g1^24 - t^4.415/(g1^2*y) - t^6.658/(g1^8*y) - (g1^6*t^6.756)/y - t^7.244/(g1^6*y) + (2*g1^2*t^7.585)/y + (2*t^7.829)/(g1^4*y) + (2*g1^10*t^7.927)/y + (2*t^8.073)/(g1^10*y) + (4*g1^4*t^8.171)/y + (g1^18*t^8.269)/y + (2*t^8.415)/(g1^2*y) + (2*g1^12*t^8.513)/y + t^8.658/(g1^8*y) + (2*g1^6*t^8.756)/y - t^8.902/(g1^14*y) - (t^4.415*y)/g1^2 - (t^6.658*y)/g1^8 - g1^6*t^6.756*y - (t^7.244*y)/g1^6 + 2*g1^2*t^7.585*y + (2*t^7.829*y)/g1^4 + 2*g1^10*t^7.927*y + (2*t^8.073*y)/g1^10 + 4*g1^4*t^8.171*y + g1^18*t^8.269*y + (2*t^8.415*y)/g1^2 + 2*g1^12*t^8.513*y + (t^8.658*y)/g1^8 + 2*g1^6*t^8.756*y - (t^8.902*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|---|
4761 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6635 | 0.8258 | 0.8035 | [X:[1.3333], M:[1.1317, 0.7285, 0.992, 0.8683, 1.1317, 0.6667, 0.8683, 1.008], q:[0.504, 0.3643], qb:[0.504, 0.7675], phi:[0.4651]] | t^2.186 + 2*t^2.605 + t^2.79 + t^3.024 + t^3.395 + t^3.581 + t^3.814 + 2*t^4. + t^4.371 + 3*t^4.419 + 2*t^4.79 + t^4.976 + 4*t^5.21 + 2*t^5.395 + 2*t^5.629 + t^5.766 + t^5.814 - 2*t^6. - t^4.395/y - t^4.395*y | detail |