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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46630 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8194 | [M:[0.9688, 1.0, 1.118, 0.7639], q:[0.5746, 0.4566], qb:[0.4254, 0.7795], phi:[0.441]] | [M:[[-18], [0], [4], [-8]], q:[[11], [7]], qb:[[-11], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.292 + t^2.646 + t^2.907 + t^3. + t^3.354 + t^3.615 + t^3.875 + t^3.969 + 2*t^4.062 + t^4.323 + t^4.416 + t^4.584 + t^4.771 + t^4.938 + t^5.198 + 2*t^5.292 + t^5.646 + t^5.813 + t^5.907 - t^6. - t^6.093 + t^6.167 + 2*t^6.261 + t^6.354 - t^6.448 + 2*t^6.521 + 2*t^6.615 + 2*t^6.708 + t^6.782 + 2*t^6.875 + 2*t^6.969 + 2*t^7.062 + 2*t^7.229 + t^7.416 + 2*t^7.49 + 2*t^7.584 + t^7.677 + t^7.751 + t^7.844 + 4*t^7.938 + t^8.031 + t^8.105 + 2*t^8.125 + 2*t^8.198 - t^8.292 + t^8.459 + t^8.479 + t^8.552 + t^8.72 - 2*t^8.739 + 2*t^8.813 + 2*t^8.833 - t^4.323/y - t^6.615/y - t^7.229/y + t^7.416/y + t^7.938/y + t^8.031/y + t^8.198/y + t^8.292/y + t^8.552/y + (2*t^8.646)/y + t^8.907/y - t^4.323*y - t^6.615*y - t^7.229*y + t^7.416*y + t^7.938*y + t^8.031*y + t^8.198*y + t^8.292*y + t^8.552*y + 2*t^8.646*y + t^8.907*y | t^2.292/g1^8 + t^2.646/g1^4 + t^2.907/g1^18 + t^3. + g1^4*t^3.354 + t^3.615/g1^10 + t^3.875/g1^24 + t^3.969/g1^6 + 2*g1^12*t^4.062 + t^4.323/g1^2 + g1^16*t^4.416 + t^4.584/g1^16 + g1^20*t^4.771 + t^4.938/g1^12 + t^5.198/g1^26 + (2*t^5.292)/g1^8 + t^5.646/g1^4 + t^5.813/g1^36 + t^5.907/g1^18 - t^6. - g1^18*t^6.093 + t^6.167/g1^32 + (2*t^6.261)/g1^14 + g1^4*t^6.354 - g1^22*t^6.448 + (2*t^6.521)/g1^28 + (2*t^6.615)/g1^10 + 2*g1^8*t^6.708 + t^6.782/g1^42 + (2*t^6.875)/g1^24 + (2*t^6.969)/g1^6 + 2*g1^12*t^7.062 + (2*t^7.229)/g1^20 + g1^16*t^7.416 + (2*t^7.49)/g1^34 + (2*t^7.584)/g1^16 + g1^2*t^7.677 + t^7.751/g1^48 + t^7.844/g1^30 + (4*t^7.938)/g1^12 + g1^6*t^8.031 + t^8.105/g1^44 + 2*g1^24*t^8.125 + (2*t^8.198)/g1^26 - t^8.292/g1^8 + t^8.459/g1^40 + g1^28*t^8.479 + t^8.552/g1^22 + t^8.72/g1^54 - 2*g1^14*t^8.739 + (2*t^8.813)/g1^36 + 2*g1^32*t^8.833 - t^4.323/(g1^2*y) - t^6.615/(g1^10*y) - t^7.229/(g1^20*y) + (g1^16*t^7.416)/y + t^7.938/(g1^12*y) + (g1^6*t^8.031)/y + t^8.198/(g1^26*y) + t^8.292/(g1^8*y) + t^8.552/(g1^22*y) + (2*t^8.646)/(g1^4*y) + t^8.907/(g1^18*y) - (t^4.323*y)/g1^2 - (t^6.615*y)/g1^10 - (t^7.229*y)/g1^20 + g1^16*t^7.416*y + (t^7.938*y)/g1^12 + g1^6*t^8.031*y + (t^8.198*y)/g1^26 + (t^8.292*y)/g1^8 + (t^8.552*y)/g1^22 + (2*t^8.646*y)/g1^4 + (t^8.907*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
47198 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6782 | 0.8333 | 0.8139 | [M:[0.9582, 1.0, 1.1204, 0.7592, 0.8796], q:[0.5811, 0.4607], qb:[0.4189, 0.7801], phi:[0.4398]] | t^2.278 + 2*t^2.639 + t^2.875 + t^3. + t^3.597 + t^3.833 + t^3.958 + 2*t^4.084 + t^4.319 + t^4.445 + t^4.555 + t^4.806 + 2*t^4.916 + t^5.152 + 4*t^5.278 + t^5.513 + t^5.639 + t^5.749 + t^5.875 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
48252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6883 | 0.8556 | 0.8045 | [M:[0.9699, 1.0, 1.1178, 0.7644, 0.6767], q:[0.5739, 0.4561], qb:[0.4261, 0.7794], phi:[0.4411]] | t^2.03 + t^2.293 + t^2.647 + t^2.91 + t^3. + t^3.353 + t^3.617 + t^3.88 + 3*t^4.06 + 2*t^4.323 + t^4.414 + t^4.586 + t^4.677 + t^4.767 + 2*t^4.94 + t^5.03 + t^5.203 + 2*t^5.293 + t^5.383 + 2*t^5.647 + t^5.82 + 2*t^5.91 - t^6. - t^4.323/y - t^4.323*y | detail | |
47210 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6846 | 0.8444 | 0.8107 | [M:[0.9869, 1.0, 1.114, 0.772, 0.785], q:[0.5635, 0.4495], qb:[0.4365, 0.7785], phi:[0.443]] | t^2.316 + t^2.355 + t^2.658 + t^2.961 + t^3. + t^3.342 + t^3.948 + t^3.987 + 2*t^4.026 + t^4.329 + t^4.368 + t^4.632 + t^4.671 + 2*t^4.71 + t^4.974 + t^5.013 + t^5.277 + 3*t^5.316 + t^5.355 + t^5.658 + t^5.697 + t^5.922 - t^6. - t^4.329/y - t^4.329*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 |
---|---|---|---|---|---|---|---|---|---|
46137 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6492 | 0.7814 | 0.8308 | [M:[0.9817, 1.0, 1.1152], q:[0.5667, 0.4515], qb:[0.4333, 0.7788], phi:[0.4424]] | t^2.654 + t^2.945 + t^3. + t^3.346 + t^3.636 + t^3.691 + t^3.927 + t^3.982 + 2*t^4.037 + t^4.327 + t^4.382 + t^4.728 + t^5.309 + t^5.89 - t^6. - t^4.327/y - t^4.327*y | detail |