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 |
---|---|---|---|---|---|---|---|---|---|
1284 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7013 | 0.8626 | 0.813 | [M:[0.9771, 0.9313, 1.0229, 1.0687, 0.9771, 0.8854], q:[0.5802, 0.4427], qb:[0.4885, 0.5344], phi:[0.4885]] | [M:[[-2], [-6], [2], [6], [-2], [-10]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{3}$, ${ }M_{3}M_{5}$ | 0 | t^2.656 + t^2.794 + 3*t^2.931 + t^3.069 + t^3.206 + t^4.122 + t^4.259 + 2*t^4.397 + 2*t^4.534 + 2*t^4.672 + t^4.809 + t^4.947 + t^5.313 + t^5.45 + 3*t^5.588 + 2*t^5.725 + 5*t^5.863 - t^6.275 + t^6.778 + 2*t^6.916 + 5*t^7.053 + 4*t^7.191 + 6*t^7.328 + 4*t^7.466 + 4*t^7.603 + t^7.741 + 2*t^7.878 + t^7.969 + t^8.106 + t^8.153 + 4*t^8.244 + 3*t^8.381 + 6*t^8.519 + 2*t^8.656 + 5*t^8.794 - 4*t^8.931 - t^4.466/y - t^7.122/y - (2*t^7.397)/y + (2*t^7.534)/y + t^7.809/y + t^8.45/y + (3*t^8.588)/y + (4*t^8.725)/y + (5*t^8.863)/y - t^4.466*y - t^7.122*y - 2*t^7.397*y + 2*t^7.534*y + t^7.809*y + t^8.45*y + 3*t^8.588*y + 4*t^8.725*y + 5*t^8.863*y | t^2.656/g1^10 + t^2.794/g1^6 + (3*t^2.931)/g1^2 + g1^2*t^3.069 + g1^6*t^3.206 + t^4.122/g1^11 + t^4.259/g1^7 + (2*t^4.397)/g1^3 + 2*g1*t^4.534 + 2*g1^5*t^4.672 + g1^9*t^4.809 + g1^13*t^4.947 + t^5.313/g1^20 + t^5.45/g1^16 + (3*t^5.588)/g1^12 + (2*t^5.725)/g1^8 + (5*t^5.863)/g1^4 - g1^8*t^6.275 + t^6.778/g1^21 + (2*t^6.916)/g1^17 + (5*t^7.053)/g1^13 + (4*t^7.191)/g1^9 + (6*t^7.328)/g1^5 + (4*t^7.466)/g1 + 4*g1^3*t^7.603 + g1^7*t^7.741 + 2*g1^11*t^7.878 + t^7.969/g1^30 + t^8.106/g1^26 + g1^19*t^8.153 + (4*t^8.244)/g1^22 + (3*t^8.381)/g1^18 + (6*t^8.519)/g1^14 + (2*t^8.656)/g1^10 + (5*t^8.794)/g1^6 - (4*t^8.931)/g1^2 - t^4.466/(g1*y) - t^7.122/(g1^11*y) - (2*t^7.397)/(g1^3*y) + (2*g1*t^7.534)/y + (g1^9*t^7.809)/y + t^8.45/(g1^16*y) + (3*t^8.588)/(g1^12*y) + (4*t^8.725)/(g1^8*y) + (5*t^8.863)/(g1^4*y) - (t^4.466*y)/g1 - (t^7.122*y)/g1^11 - (2*t^7.397*y)/g1^3 + 2*g1*t^7.534*y + g1^9*t^7.809*y + (t^8.45*y)/g1^16 + (3*t^8.588*y)/g1^12 + (4*t^8.725*y)/g1^8 + (5*t^8.863*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 |
---|---|---|---|---|---|---|---|---|
2330 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.7036 | 0.8669 | 0.8116 | [M:[0.9747, 0.924, 1.0253, 1.076, 0.9747, 0.8734, 0.9747], q:[0.5886, 0.4367], qb:[0.4873, 0.538], phi:[0.4873]] | t^2.62 + t^2.772 + 4*t^2.924 + t^3.228 + t^4.082 + t^4.234 + 2*t^4.386 + 2*t^4.538 + 2*t^4.69 + t^4.842 + t^4.994 + t^5.24 + t^5.392 + 4*t^5.544 + 2*t^5.696 + 8*t^5.848 - 3*t^6. - t^4.462/y - t^4.462*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 |
---|---|---|---|---|---|---|---|---|---|
805 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7476 | 0.931 | 0.803 | [M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*y | detail |