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 |
---|---|---|---|---|---|---|---|---|---|
553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5854 | 0.7449 | 0.7859 | [M:[0.6895, 1.1035, 0.793, 1.1035], q:[0.7759, 0.5346], qb:[0.6724, 0.2241], phi:[0.4483]] | [M:[[12], [-4], [8], [-4]], q:[[-1], [-11]], qb:[[3], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.069 + t^2.276 + t^2.379 + t^2.69 + t^3. + 2*t^3.31 + t^3.621 + t^4.034 + t^4.137 + 2*t^4.345 + t^4.448 + 2*t^4.552 + 2*t^4.758 + 2*t^4.966 + t^5.069 + t^5.276 + 5*t^5.379 + t^5.587 + 3*t^5.69 + t^5.897 - t^6. + t^6.103 + t^6.206 + 2*t^6.31 + t^6.413 + t^6.516 + 4*t^6.621 + t^6.724 + 2*t^6.827 + 2*t^6.828 + 2*t^7.034 + 2*t^7.137 + 2*t^7.242 + 5*t^7.448 + t^7.552 + 3*t^7.655 + 4*t^7.758 + 2*t^7.863 + t^7.966 + 2*t^8.069 + t^8.172 + 2*t^8.173 + t^8.275 - 2*t^8.276 + t^8.379 + t^8.482 + t^8.585 + 2*t^8.587 + 2*t^8.69 + t^8.792 + 2*t^8.895 + 2*t^8.897 - t^4.345/y - t^6.413/y - t^6.724/y + t^7.034/y + t^7.345/y + t^7.448/y + t^7.758/y + (2*t^7.966)/y + (2*t^8.069)/y + (2*t^8.276)/y + (3*t^8.379)/y - t^8.482/y + (2*t^8.587)/y + (4*t^8.69)/y - t^8.792/y + t^8.897/y - t^4.345*y - t^6.413*y - t^6.724*y + t^7.034*y + t^7.345*y + t^7.448*y + t^7.758*y + 2*t^7.966*y + 2*t^8.069*y + 2*t^8.276*y + 3*t^8.379*y - t^8.482*y + 2*t^8.587*y + 4*t^8.69*y - t^8.792*y + t^8.897*y | g1^12*t^2.069 + t^2.276/g1^10 + g1^8*t^2.379 + g1^4*t^2.69 + t^3. + (2*t^3.31)/g1^4 + t^3.621/g1^8 + g1^6*t^4.034 + g1^24*t^4.137 + 2*g1^2*t^4.345 + g1^20*t^4.448 + (2*t^4.552)/g1^20 + 2*g1^16*t^4.758 + (2*t^4.966)/g1^6 + g1^12*t^5.069 + t^5.276/g1^10 + 5*g1^8*t^5.379 + t^5.587/g1^14 + 3*g1^4*t^5.69 + t^5.897/g1^18 - t^6. + g1^18*t^6.103 + g1^36*t^6.206 + (2*t^6.31)/g1^4 + g1^14*t^6.413 + g1^32*t^6.516 + (4*t^6.621)/g1^8 + g1^10*t^6.724 + 2*g1^28*t^6.827 + (2*t^6.828)/g1^30 + 2*g1^6*t^7.034 + 2*g1^24*t^7.137 + (2*t^7.242)/g1^16 + 5*g1^20*t^7.448 + t^7.552/g1^20 + (3*t^7.655)/g1^2 + 4*g1^16*t^7.758 + (2*t^7.863)/g1^24 + t^7.966/g1^6 + 2*g1^12*t^8.069 + g1^30*t^8.172 + (2*t^8.173)/g1^28 + g1^48*t^8.275 - (2*t^8.276)/g1^10 + g1^8*t^8.379 + g1^26*t^8.482 + g1^44*t^8.585 + (2*t^8.587)/g1^14 + 2*g1^4*t^8.69 + g1^22*t^8.792 + 2*g1^40*t^8.895 + (2*t^8.897)/g1^18 - (g1^2*t^4.345)/y - (g1^14*t^6.413)/y - (g1^10*t^6.724)/y + (g1^6*t^7.034)/y + (g1^2*t^7.345)/y + (g1^20*t^7.448)/y + (g1^16*t^7.758)/y + (2*t^7.966)/(g1^6*y) + (2*g1^12*t^8.069)/y + (2*t^8.276)/(g1^10*y) + (3*g1^8*t^8.379)/y - (g1^26*t^8.482)/y + (2*t^8.587)/(g1^14*y) + (4*g1^4*t^8.69)/y - (g1^22*t^8.792)/y + t^8.897/(g1^18*y) - g1^2*t^4.345*y - g1^14*t^6.413*y - g1^10*t^6.724*y + g1^6*t^7.034*y + g1^2*t^7.345*y + g1^20*t^7.448*y + g1^16*t^7.758*y + (2*t^7.966*y)/g1^6 + 2*g1^12*t^8.069*y + (2*t^8.276*y)/g1^10 + 3*g1^8*t^8.379*y - g1^26*t^8.482*y + (2*t^8.587*y)/g1^14 + 4*g1^4*t^8.69*y - g1^22*t^8.792*y + (t^8.897*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 |
---|---|---|---|---|---|---|---|---|
869 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6027 | 0.776 | 0.7767 | [M:[0.6727, 1.1091, 0.7818, 1.1091, 0.7818], q:[0.7773, 0.55], qb:[0.6682, 0.2227], phi:[0.4455]] | t^2.018 + t^2.318 + 2*t^2.345 + t^2.673 + t^3. + 2*t^3.327 + t^4.009 + t^4.036 + 2*t^4.336 + 2*t^4.364 + 2*t^4.636 + t^4.664 + 4*t^4.691 + 2*t^4.991 + 2*t^5.018 + t^5.318 + 6*t^5.345 + t^5.645 + 4*t^5.673 - 2*t^6. - t^4.336/y - t^4.336*y | detail | |
868 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5762 | 0.7294 | 0.79 | [M:[0.7029, 1.099, 0.8019, 1.099, 1.099], q:[0.7748, 0.5223], qb:[0.6757, 0.2252], phi:[0.4505]] | t^2.109 + t^2.243 + t^2.406 + t^3. + 3*t^3.297 + t^3.594 + t^4.054 + t^4.217 + 2*t^4.351 + 2*t^4.486 + t^4.514 + t^4.812 + t^4.946 + t^5.243 + 5*t^5.406 + 2*t^5.54 + 3*t^5.703 + t^5.837 - 3*t^6. - t^4.351/y - t^4.351*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 |
---|---|---|---|---|---|---|---|---|---|
348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.051 + t^2.079 + t^2.684 + t^2.909 + t^2.986 + t^3.316 + t^3.619 + t^3.723 + t^4.026 + t^4.103 + 2*t^4.131 + t^4.158 + t^4.251 + t^4.356 + t^4.581 + t^4.735 + t^4.763 + t^4.96 + t^4.988 + t^5.038 + t^5.065 + 2*t^5.368 + t^5.395 + t^5.593 + t^5.67 + t^5.698 + t^5.803 + t^5.818 + t^5.972 - 2*t^6. - t^4.342/y - t^4.342*y | detail |