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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56917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{6}$ | 0.7036 | 0.8648 | 0.8137 | [M:[1.0314, 1.0314, 0.9059, 0.9059, 1.0314, 0.9686, 0.9686], q:[0.4216, 0.5471], qb:[0.5471, 0.5471], phi:[0.4843]] | [M:[[2], [2], [-6], [-6], [2], [-2], [-2]], q:[[-5], [3]], qb:[[3], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -5 | 2*t^2.718 + 3*t^2.906 + t^3.094 + t^3.282 + t^3.982 + 3*t^4.359 + 6*t^4.735 + 3*t^5.435 + 3*t^5.623 + 8*t^5.812 - 5*t^6. + 3*t^6.188 - 2*t^6.377 + t^6.565 + 2*t^6.7 + 3*t^6.888 + 3*t^7.076 + 7*t^7.265 + 3*t^7.453 + 12*t^7.641 - 3*t^7.829 + t^7.964 + 3*t^8.018 + 4*t^8.153 + 6*t^8.341 + 6*t^8.529 + 8*t^8.718 - 15*t^8.906 - t^4.453/y - (2*t^7.171)/y + (2*t^7.735)/y + t^8.435/y + (6*t^8.623)/y + (5*t^8.812)/y - t^4.453*y - 2*t^7.171*y + 2*t^7.735*y + t^8.435*y + 6*t^8.623*y + 5*t^8.812*y | (2*t^2.718)/g1^6 + (3*t^2.906)/g1^2 + g1^2*t^3.094 + g1^6*t^3.282 + t^3.982/g1^11 + (3*t^4.359)/g1^3 + 6*g1^5*t^4.735 + (3*t^5.435)/g1^12 + (3*t^5.623)/g1^8 + (8*t^5.812)/g1^4 - 5*t^6. + 3*g1^4*t^6.188 - 2*g1^8*t^6.377 + g1^12*t^6.565 + (2*t^6.7)/g1^17 + (3*t^6.888)/g1^13 + (3*t^7.076)/g1^9 + (7*t^7.265)/g1^5 + (3*t^7.453)/g1 + 12*g1^3*t^7.641 - 3*g1^7*t^7.829 + t^7.964/g1^22 + 3*g1^11*t^8.018 + (4*t^8.153)/g1^18 + (6*t^8.341)/g1^14 + (6*t^8.529)/g1^10 + (8*t^8.718)/g1^6 - (15*t^8.906)/g1^2 - t^4.453/(g1*y) - (2*t^7.171)/(g1^7*y) + (2*g1^5*t^7.735)/y + t^8.435/(g1^12*y) + (6*t^8.623)/(g1^8*y) + (5*t^8.812)/(g1^4*y) - (t^4.453*y)/g1 - (2*t^7.171*y)/g1^7 + 2*g1^5*t^7.735*y + (t^8.435*y)/g1^12 + (6*t^8.623*y)/g1^8 + (5*t^8.812*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|---|
55263 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7097 | 0.8734 | 0.8125 | [M:[0.9433, 1.048, 0.9608, 0.8561, 1.048, 0.952, 0.952], q:[0.4324, 0.6243], qb:[0.5196, 0.5196], phi:[0.476]] | t^2.568 + t^2.83 + 3*t^2.856 + t^2.882 + t^3.432 + t^4.023 + 2*t^4.284 + 3*t^4.546 + t^4.598 + 2*t^4.86 + t^5.137 + t^5.174 + t^5.398 + 2*t^5.424 + t^5.451 + t^5.66 + t^5.686 + 7*t^5.712 + t^5.739 + t^5.765 - 5*t^6. - t^4.428/y - t^4.428*y | detail |