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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4099 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6007 | 0.7278 | 0.8254 | [M:[1.1802, 1.2132, 0.7538, 0.8198, 0.8198, 1.1802, 0.7207, 1.2462], q:[0.8033, 0.4429], qb:[0.3769, 0.8033], phi:[0.3934]] | [M:[[-6], [4], [-14], [6], [6], [-6], [-24], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.162 + t^2.459 + t^3.441 + 2*t^3.541 + 2*t^3.64 + 2*t^3.739 + t^4.324 + t^4.622 + t^4.82 + t^4.919 + t^5.604 + 2*t^5.703 + t^5.802 + t^5.901 - t^6. + t^6.198 + t^6.486 + t^6.784 + t^6.883 + 2*t^6.982 + 3*t^7.081 + 2*t^7.18 + 3*t^7.279 + 2*t^7.378 + 2*t^7.477 + t^7.766 + 2*t^7.865 + t^7.964 + t^8.063 - t^8.162 - t^8.261 + t^8.36 - t^8.459 + t^8.649 + t^8.946 - t^4.18/y - t^6.342/y + t^7.622/y + t^8.018/y - t^8.504/y + t^8.604/y + (2*t^8.703)/y + (2*t^8.802)/y + (3*t^8.901)/y - t^4.18*y - t^6.342*y + t^7.622*y + t^8.018*y - t^8.504*y + t^8.604*y + 2*t^8.703*y + 2*t^8.802*y + 3*t^8.901*y | t^2.162/g1^24 + g1^6*t^2.459 + t^3.441/g1^16 + (2*t^3.541)/g1^6 + 2*g1^4*t^3.64 + 2*g1^14*t^3.739 + t^4.324/g1^48 + t^4.622/g1^18 + g1^2*t^4.82 + g1^12*t^4.919 + t^5.604/g1^40 + (2*t^5.703)/g1^30 + t^5.802/g1^20 + t^5.901/g1^10 - t^6. + g1^20*t^6.198 + t^6.486/g1^72 + t^6.784/g1^42 + t^6.883/g1^32 + (2*t^6.982)/g1^22 + (3*t^7.081)/g1^12 + (2*t^7.18)/g1^2 + 3*g1^8*t^7.279 + 2*g1^18*t^7.378 + 2*g1^28*t^7.477 + t^7.766/g1^64 + (2*t^7.865)/g1^54 + t^7.964/g1^44 + t^8.063/g1^34 - t^8.162/g1^24 - t^8.261/g1^14 + t^8.36/g1^4 - g1^6*t^8.459 + t^8.649/g1^96 + t^8.946/g1^66 - t^4.18/(g1^2*y) - t^6.342/(g1^26*y) + t^7.622/(g1^18*y) + (g1^22*t^8.018)/y - t^8.504/(g1^50*y) + t^8.604/(g1^40*y) + (2*t^8.703)/(g1^30*y) + (2*t^8.802)/(g1^20*y) + (3*t^8.901)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.342*y)/g1^26 + (t^7.622*y)/g1^18 + g1^22*t^8.018*y - (t^8.504*y)/g1^50 + (t^8.604*y)/g1^40 + (2*t^8.703*y)/g1^30 + (2*t^8.802*y)/g1^20 + (3*t^8.901*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
2117 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6198 | 0.7634 | 0.8119 | [M:[1.1756, 1.2162, 0.7432, 0.8244, 0.8244, 1.1756, 0.7026], q:[0.8041, 0.4528], qb:[0.3716, 0.8041], phi:[0.3919]] | t^2.108 + t^2.23 + t^2.473 + t^3.405 + 2*t^3.527 + 2*t^3.649 + t^3.77 + t^4.216 + t^4.337 + t^4.459 + t^4.581 + t^4.703 + t^4.824 + t^4.946 + t^5.513 + 3*t^5.635 + 3*t^5.756 + 2*t^5.878 - t^4.176/y - t^4.176*y | detail |