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 |
---|---|---|---|---|---|---|---|---|---|
1184 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6891 | 0.8573 | 0.8038 | [M:[1.0587, 1.103, 0.9779, 0.7353, 0.7353, 0.9413], q:[0.7757, 0.4081], qb:[0.5332, 0.4889], phi:[0.4485]] | [M:[[32], [-12], [22], [-8], [-8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | 2*t^2.206 + t^2.691 + t^2.824 + t^2.934 + t^3.309 + t^3.551 + t^3.927 + t^4.037 + t^4.169 + t^4.279 + 4*t^4.412 + t^4.545 + 2*t^4.897 + 2*t^5.03 + 2*t^5.14 + t^5.382 + 3*t^5.515 + t^5.648 + 2*t^5.757 - 2*t^6. + 2*t^6.133 + 2*t^6.243 + 2*t^6.375 + 2*t^6.485 + 6*t^6.618 + 3*t^6.751 + 2*t^6.86 + t^6.97 + t^6.993 + 3*t^7.103 + 5*t^7.236 + 2*t^7.346 + t^7.368 + t^7.478 + t^7.588 + 4*t^7.721 + 3*t^7.854 + 3*t^7.963 + t^8.073 + t^8.096 - 4*t^8.206 + t^8.316 + 4*t^8.339 + 2*t^8.449 + 2*t^8.471 + 3*t^8.581 + t^8.691 + t^8.714 + t^8.801 + 6*t^8.824 - 3*t^8.934 + 6*t^8.957 - t^4.346/y - (2*t^6.551)/y - t^7.279/y + (2*t^7.412)/y + (2*t^7.897)/y + (2*t^8.03)/y + (4*t^8.14)/y + (3*t^8.515)/y + t^8.625/y - t^4.346*y - 2*t^6.551*y - t^7.279*y + 2*t^7.412*y + 2*t^7.897*y + 2*t^8.03*y + 4*t^8.14*y + 3*t^8.515*y + t^8.625*y | (2*t^2.206)/g1^8 + g1^12*t^2.691 + t^2.824/g1^32 + g1^22*t^2.934 + t^3.309/g1^12 + t^3.551/g1^2 + t^3.927/g1^36 + g1^18*t^4.037 + t^4.169/g1^26 + g1^28*t^4.279 + (4*t^4.412)/g1^16 + t^4.545/g1^60 + 2*g1^4*t^4.897 + (2*t^5.03)/g1^40 + 2*g1^14*t^5.14 + g1^24*t^5.382 + (3*t^5.515)/g1^20 + t^5.648/g1^64 + (2*t^5.757)/g1^10 - 2*t^6. + (2*t^6.133)/g1^44 + 2*g1^10*t^6.243 + (2*t^6.375)/g1^34 + 2*g1^20*t^6.485 + (6*t^6.618)/g1^24 + (3*t^6.751)/g1^68 + (2*t^6.86)/g1^14 + g1^40*t^6.97 + t^6.993/g1^58 + (3*t^7.103)/g1^4 + (5*t^7.236)/g1^48 + 2*g1^6*t^7.346 + t^7.368/g1^92 + t^7.478/g1^38 + g1^16*t^7.588 + (4*t^7.721)/g1^28 + (3*t^7.854)/g1^72 + (3*t^7.963)/g1^18 + g1^36*t^8.073 + t^8.096/g1^62 - (4*t^8.206)/g1^8 + g1^46*t^8.316 + (4*t^8.339)/g1^52 + 2*g1^2*t^8.449 + (2*t^8.471)/g1^96 + (3*t^8.581)/g1^42 + g1^12*t^8.691 + t^8.714/g1^86 + g1^66*t^8.801 + (6*t^8.824)/g1^32 - 3*g1^22*t^8.934 + (6*t^8.957)/g1^76 - (g1^6*t^4.346)/y - (2*t^6.551)/(g1^2*y) - (g1^28*t^7.279)/y + (2*t^7.412)/(g1^16*y) + (2*g1^4*t^7.897)/y + (2*t^8.03)/(g1^40*y) + (4*g1^14*t^8.14)/y + (3*t^8.515)/(g1^20*y) + (g1^34*t^8.625)/y - g1^6*t^4.346*y - (2*t^6.551*y)/g1^2 - g1^28*t^7.279*y + (2*t^7.412*y)/g1^16 + 2*g1^4*t^7.897*y + (2*t^8.03*y)/g1^40 + 4*g1^14*t^8.14*y + (3*t^8.515*y)/g1^20 + g1^34*t^8.625*y |
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 |
---|---|---|---|---|---|---|---|---|
2238 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7098 | 0.8973 | 0.791 | [M:[1.0532, 1.105, 0.9741, 0.7367, 0.7367, 0.9468, 0.6849], q:[0.7763, 0.4079], qb:[0.5389, 0.487], phi:[0.4475]] | t^2.055 + 2*t^2.21 + t^2.685 + t^2.84 + t^2.922 + t^3.315 + t^3.553 + t^4.027 + t^4.109 + t^4.183 + 3*t^4.265 + 4*t^4.42 + t^4.576 + t^4.739 + 3*t^4.895 + t^4.977 + 2*t^5.05 + 2*t^5.132 + 2*t^5.37 + 3*t^5.525 + t^5.607 + t^5.681 + 2*t^5.763 - 2*t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
718 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. - t^4.319/y - t^4.319*y | detail |