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 |
---|---|---|---|---|---|---|---|---|---|
48147 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7207 | 0.8863 | 0.8132 | [M:[0.8653, 0.8101, 0.9724, 1.0276, 1.0, 0.9724], q:[0.5812, 0.5536], qb:[0.6087, 0.4188], phi:[0.4594]] | [M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0], [-1, -2]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.43 + t^2.596 + t^2.757 + 2*t^2.917 + t^3. + t^3.487 + t^3.891 + t^4.295 + t^4.378 + t^4.461 + t^4.7 + t^4.782 + t^4.861 + 2*t^4.865 + t^4.948 + t^5.026 + t^5.031 + t^5.187 + t^5.192 + 2*t^5.348 + t^5.352 + 2*t^5.513 + 2*t^5.674 + t^5.757 + 2*t^5.834 + t^5.917 - 3*t^6. - t^6.083 - t^6.166 + t^6.243 + t^6.322 + t^6.404 - t^6.57 + t^6.648 + t^6.726 + 2*t^6.809 + 2*t^6.891 + t^6.974 + t^7.052 + t^7.057 + t^7.13 + 2*t^7.213 + t^7.218 + t^7.291 + 3*t^7.295 + 2*t^7.378 + 2*t^7.456 + t^7.461 + 3*t^7.617 + 2*t^7.622 + t^7.627 + 2*t^7.7 + 2*t^7.778 + 3*t^7.782 + 2*t^7.783 + 2*t^7.787 + t^7.865 + t^7.943 + 2*t^7.948 - 2*t^8.026 + 2*t^8.104 + 2*t^8.187 - t^8.191 + 2*t^8.265 + 3*t^8.27 - t^8.274 + 2*t^8.352 - t^8.43 - t^8.513 + t^8.518 + 3*t^8.591 - 4*t^8.596 + 2*t^8.674 + 3*t^8.752 - t^8.757 - t^8.761 - 7*t^8.917 + t^8.995 - t^4.378/y - t^6.809/y - t^6.974/y - t^7.135/y - t^7.295/y + t^7.461/y + t^7.622/y + t^7.782/y + t^7.948/y + t^8.026/y + t^8.187/y + (2*t^8.348)/y + t^8.352/y + t^8.43/y + (2*t^8.513)/y + t^8.596/y + (2*t^8.674)/y + t^8.757/y + t^8.834/y + (3*t^8.917)/y - t^4.378*y - t^6.809*y - t^6.974*y - t^7.135*y - t^7.295*y + t^7.461*y + t^7.622*y + t^7.782*y + t^7.948*y + t^8.026*y + t^8.187*y + 2*t^8.348*y + t^8.352*y + t^8.43*y + 2*t^8.513*y + t^8.596*y + 2*t^8.674*y + t^8.757*y + t^8.834*y + 3*t^8.917*y | (g2^2*t^2.43)/g1 + g1*g2^6*t^2.596 + g2^2*t^2.757 + (2*t^2.917)/(g1*g2^2) + t^3. + t^3.487/g2^4 + g2^5*t^3.891 + t^4.295/(g1*g2) + g2*t^4.378 + g1*g2^3*t^4.461 + t^4.7/(g1^2*g2^7) + t^4.782/(g1*g2^5) + (g2^4*t^4.861)/g1^2 + (2*t^4.865)/g2^3 + (g1*t^4.948)/g2 + g2^8*t^5.026 + g1^2*g2*t^5.031 + (g2^4*t^5.187)/g1 + g1^2*g2^12*t^5.192 + (2*t^5.348)/g1^2 + g1*g2^8*t^5.352 + 2*g2^4*t^5.513 + (2*t^5.674)/g1 + g2^2*t^5.757 + (2*t^5.834)/(g1^2*g2^4) + t^5.917/(g1*g2^2) - 3*t^6. - g1*g2^2*t^6.083 - g1^2*g2^4*t^6.166 + t^6.243/g2^2 + (g2^7*t^6.322)/g1 + t^6.404/(g1*g2^6) - t^6.487/g2^4 + g1*g2^11*t^6.487 - (g1*t^6.57)/g2^2 + g2^7*t^6.648 + (g2*t^6.726)/g1^2 + (2*g2^3*t^6.809)/g1 + 2*g2^5*t^6.891 + t^6.974/g2^8 + (g2*t^7.052)/g1 + g1^2*g2^9*t^7.057 + t^7.13/(g1^3*g2^5) + (2*t^7.213)/(g1^2*g2^3) + g1*g2^5*t^7.218 + (g2^6*t^7.291)/g1^3 + (3*t^7.295)/(g1*g2) + 2*g2*t^7.378 + t^7.456/(g1^2*g2^5) + (g2^10*t^7.456)/g1 + g1*g2^3*t^7.461 + (2*t^7.617)/(g1^3*g2^9) + (g2^6*t^7.617)/g1^2 + t^7.622/g2 + g1*g2^14*t^7.622 + g1^3*g2^7*t^7.627 + (2*t^7.7)/(g1^2*g2^7) + (2*g2^2*t^7.778)/g1^3 + (3*t^7.782)/(g1*g2^5) + 2*g2^10*t^7.783 + g1^2*g2^3*t^7.787 + g1^3*g2^18*t^7.787 + t^7.865/g2^3 - t^7.943/(g1^2*g2^9) + (2*g2^6*t^7.943)/g1 + (g1*t^7.948)/g2 + g1^2*g2^14*t^7.948 - t^8.026/(g1*g2^7) - g2^8*t^8.026 + (2*g2^2*t^8.104)/g1^2 - (2*t^8.109)/g2^5 + 2*g1*g2^10*t^8.109 + t^8.187/(g1^2*g2^11) + (g2^4*t^8.187)/g1 - (g1*t^8.191)/g2^3 + (2*t^8.265)/(g1^3*g2^2) + 3*g2^6*t^8.27 - (g1^2*t^8.274)/g2 + t^8.352/g2^7 + g1*g2^8*t^8.352 - (g2^2*t^8.43)/g1 - g2^4*t^8.513 + (g1^2*t^8.518)/g2^3 + (3*t^8.591)/(g1^2*g2^2) - 4*g1*g2^6*t^8.596 + (2*t^8.674)/g1 + (2*t^8.752)/(g1^3*g2^6) + (g2^9*t^8.752)/g1^2 - g2^2*t^8.757 - g1^3*g2^10*t^8.761 - (8*t^8.917)/(g1*g2^2) + g2^13*t^8.917 + t^8.995/(g1^3*g2^8) - (g2*t^4.378)/y - (g2^3*t^6.809)/(g1*y) - (g1*g2^7*t^6.974)/y - (g2^3*t^7.135)/y - t^7.295/(g1*g2*y) + (g1*g2^3*t^7.461)/y + t^7.622/(g2*y) + t^7.782/(g1*g2^5*y) + (g1*t^7.948)/(g2*y) + (g2^8*t^8.026)/y + (g2^4*t^8.187)/(g1*y) + (2*t^8.348)/(g1^2*y) + (g1*g2^8*t^8.352)/y + (g2^2*t^8.43)/(g1*y) + (2*g2^4*t^8.513)/y + (g1*g2^6*t^8.596)/y + (2*t^8.674)/(g1*y) + (g2^2*t^8.757)/y + t^8.834/(g1^2*g2^4*y) + (3*t^8.917)/(g1*g2^2*y) - g2*t^4.378*y - (g2^3*t^6.809*y)/g1 - g1*g2^7*t^6.974*y - g2^3*t^7.135*y - (t^7.295*y)/(g1*g2) + g1*g2^3*t^7.461*y + (t^7.622*y)/g2 + (t^7.782*y)/(g1*g2^5) + (g1*t^7.948*y)/g2 + g2^8*t^8.026*y + (g2^4*t^8.187*y)/g1 + (2*t^8.348*y)/g1^2 + g1*g2^8*t^8.352*y + (g2^2*t^8.43*y)/g1 + 2*g2^4*t^8.513*y + g1*g2^6*t^8.596*y + (2*t^8.674*y)/g1 + g2^2*t^8.757*y + (t^8.834*y)/(g1^2*g2^4) + (3*t^8.917*y)/(g1*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
55892 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7413 | 0.9257 | 0.8008 | [M:[0.8732, 0.818, 0.9724, 1.0276, 1.0, 0.9724, 0.693], q:[0.5772, 0.5496], qb:[0.6048, 0.4228], phi:[0.4614]] | t^2.079 + t^2.454 + t^2.619 + t^2.768 + 2*t^2.917 + t^3. + t^3.463 + t^4.158 + t^4.301 + t^4.384 + t^4.467 + t^4.533 + t^4.682 + t^4.699 + t^4.765 + 3*t^4.847 + t^4.908 + t^4.93 + 2*t^4.996 + t^5.013 + t^5.073 + t^5.079 + t^5.222 + t^5.239 + 2*t^5.371 + t^5.388 + 2*t^5.537 + t^5.542 + 2*t^5.686 + t^5.768 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.384/y - t^4.384*y | detail | |
52115 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7137 | 0.8739 | 0.8167 | [M:[0.8852, 0.83, 0.9724, 1.0276, 1.0, 0.9724, 1.0712], q:[0.5712, 0.5436], qb:[0.5988, 0.4288], phi:[0.4644]] | t^2.49 + t^2.656 + 2*t^2.917 + t^3. + t^3.214 + t^3.427 + t^3.966 + t^4.31 + t^4.393 + t^4.476 + t^4.655 + t^4.738 + 2*t^4.82 + t^4.903 + t^4.98 + t^4.986 + t^5.146 + t^5.311 + 2*t^5.407 + t^5.573 + t^5.704 + 2*t^5.834 + t^5.869 + t^5.917 - 3*t^6. - t^4.393/y - t^4.393*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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail |