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 |
---|---|---|---|---|---|---|---|---|---|
852 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6254 | 0.8129 | 0.7694 | [M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]] | [M:[[4], [-12], [-4], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}$ | -6 | 4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. + t^6.092 + 4*t^6.184 + 3*t^6.276 + 8*t^6.624 + 20*t^6.716 - 2*t^6.899 + t^7.431 + 18*t^7.523 + 12*t^7.615 + 4*t^8.055 + 10*t^8.147 - 24*t^8.239 + 4*t^8.33 + 12*t^8.422 + 8*t^8.514 + 5*t^8.77 + 14*t^8.862 + 34*t^8.954 - t^4.523/y - (2*t^6.761)/y + t^7.385/y + (7*t^7.477)/y - t^7.569/y - t^7.661/y + (10*t^8.284)/y + (8*t^8.376)/y + (8*t^8.908)/y - t^4.523*y - 2*t^6.761*y + t^7.385*y + 7*t^7.477*y - t^7.569*y - t^7.661*y + 10*t^8.284*y + 8*t^8.376*y + 8*t^8.908*y | 4*g1*t^2.239 + (2*t^3.046)/g1^4 + (2*t^3.138)/g1^12 + 2*g1^7*t^3.67 + 3*g1^10*t^4.385 + 10*g1^2*t^4.477 + (8*t^5.284)/g1^3 + (6*t^5.376)/g1^11 + 7*g1^8*t^5.908 - 6*t^6. + t^6.092/g1^8 + (4*t^6.184)/g1^16 + (3*t^6.276)/g1^24 + 8*g1^11*t^6.624 + 20*g1^3*t^6.716 - (2*t^6.899)/g1^13 + g1^6*t^7.431 + (18*t^7.523)/g1^2 + (12*t^7.615)/g1^10 + 4*g1^17*t^8.055 + 10*g1^9*t^8.147 - 24*g1*t^8.239 + (4*t^8.33)/g1^7 + (12*t^8.422)/g1^15 + (8*t^8.514)/g1^23 + 5*g1^20*t^8.77 + 14*g1^12*t^8.862 + 34*g1^4*t^8.954 - t^4.523/(g1^2*y) - (2*t^6.761)/(g1*y) + (g1^10*t^7.385)/y + (7*g1^2*t^7.477)/y - t^7.569/(g1^6*y) - t^7.661/(g1^14*y) + (10*t^8.284)/(g1^3*y) + (8*t^8.376)/(g1^11*y) + (8*g1^8*t^8.908)/y - (t^4.523*y)/g1^2 - (2*t^6.761*y)/g1 + g1^10*t^7.385*y + 7*g1^2*t^7.477*y - (t^7.569*y)/g1^6 - (t^7.661*y)/g1^14 + (10*t^8.284*y)/g1^3 + (8*t^8.376*y)/g1^11 + 8*g1^8*t^8.908*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 |
---|---|---|---|---|---|---|---|---|
2028 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6435 | 0.8457 | 0.7609 | [M:[0.9916, 1.0252, 1.0084, 0.7479, 0.7479, 0.7647], q:[0.7479, 0.2605], qb:[0.4874, 0.4874], phi:[0.5042]] | 4*t^2.244 + t^2.294 + 2*t^3.025 + 2*t^3.076 + t^3.706 + 3*t^4.437 + 10*t^4.487 + 4*t^4.538 + t^4.588 + 8*t^5.269 + 8*t^5.319 + 2*t^5.37 + 3*t^5.95 - 5*t^6. - t^4.513/y - t^4.513*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 |
---|---|---|---|---|---|---|---|---|---|
542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6062 | 0.7779 | 0.7793 | [M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]] | 3*t^2.239 + 2*t^3.043 + 2*t^3.13 + 2*t^3.674 + t^3.761 + 3*t^4.391 + 6*t^4.478 + 6*t^5.283 + 4*t^5.369 + 5*t^5.913 - 3*t^6. - t^4.522/y - t^4.522*y | detail |