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 |
---|---|---|---|---|---|---|---|---|---|
79476 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ | 2.3848 | 2.4903 | 0.9577 | [X:[], M:[0.8875], q:[0.7177, 0.6074], qb:[], phi:[], S:[0.5479, 0.5646], Sb:[], A:[], Ab:[]] | [X:[], M:[[-1, -2]], q:[[0, -1], [-6, -11]], qb:[], phi:[], S:[[1, 0], [0, 2]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{1}S_{1}^{2}$ | ${}$ | -2 | t^2.663 + t^3.287 + t^3.388 + t^3.975 + t^5.288 + t^5.325 + t^5.339 + t^5.619 + t^5.95 - 2*t^6. - t^6.331 + 2*t^6.574 + t^6.625 + t^6.638 + 3*t^6.675 + t^6.725 + 2*t^6.775 + t^6.982 + 2*t^7.263 + t^7.313 + t^7.363 - t^7.644 - t^7.694 + t^7.951 - t^7.974 + t^7.988 - t^8.332 + t^8.355 + 2*t^8.575 + 3*t^8.626 - 2*t^8.663 + 3*t^8.676 + 2*t^8.726 + 2*t^8.906 + 2*t^8.956 - t^8.993 - t^4.644/y - t^4.694/y - (2*t^7.931)/y - (2*t^7.981)/y - (2*t^8.031)/y - (2*t^8.082)/y - t^8.619/y - t^8.669/y + t^8.95/y - t^4.644*y - t^4.694*y - 2*t^7.931*y - 2*t^7.981*y - 2*t^8.031*y - 2*t^8.082*y - t^8.619*y - t^8.669*y + t^8.95*y | t^2.663/(g1*g2^2) + g1^2*t^3.287 + g2^4*t^3.388 + t^3.975/(g1^6*g2^12) + t^5.288/(g1^11*g2^22) + t^5.325/(g1^2*g2^4) + t^5.339/(g1^12*g2^20) + t^5.619/(g1^5*g2^12) + (g1*t^5.95)/g2^2 - 2*t^6. - g1^6*g2^10*t^6.331 + 2*g1^4*t^6.574 + g1^3*g2^2*t^6.625 + t^6.638/(g1^7*g2^14) + 3*g1^2*g2^4*t^6.675 + g1*g2^6*t^6.725 + 2*g2^8*t^6.775 + t^6.982/(g1^11*g2^20) + (2*t^7.263)/(g1^4*g2^12) + t^7.313/(g1^5*g2^10) + t^7.363/(g1^6*g2^8) - g1*t^7.644 - g2^2*t^7.694 + t^7.951/(g1^12*g2^24) - g1^7*g2^10*t^7.974 + t^7.988/(g1^3*g2^6) - t^8.332/(g1^7*g2^12) + g1^12*g2^22*t^8.355 + (2*t^8.575)/(g1^9*g2^22) + (3*t^8.626)/(g1^10*g2^20) - (2*t^8.663)/(g1*g2^2) + (3*t^8.676)/(g1^11*g2^18) + (2*t^8.726)/(g1^12*g2^16) + (2*t^8.906)/(g1^3*g2^12) + (2*t^8.956)/(g1^4*g2^10) - g1^5*g2^8*t^8.993 - (g1*t^4.644)/y - (g2^2*t^4.694)/y - (2*g1^3*t^7.931)/y - (2*g1^2*g2^2*t^7.981)/y - (2*g1*g2^4*t^8.031)/y - (2*g2^6*t^8.082)/y - t^8.619/(g1^5*g2^12*y) - t^8.669/(g1^6*g2^10*y) + (g1*t^8.95)/(g2^2*y) - g1*t^4.644*y - g2^2*t^4.694*y - 2*g1^3*t^7.931*y - 2*g1^2*g2^2*t^7.981*y - 2*g1*g2^4*t^8.031*y - 2*g2^6*t^8.082*y - (t^8.619*y)/(g1^5*g2^12) - (t^8.669*y)/(g1^6*g2^10) + (g1*t^8.95*y)/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 |
---|---|---|---|---|---|---|---|---|
79509 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3843 | 2.4891 | 0.9579 | [X:[], M:[0.8882], q:[0.7221, 0.6072], qb:[], phi:[], S:[0.5559, 0.5559], Sb:[], A:[], Ab:[]] | t^2.665 + 2*t^3.335 + t^3.988 + 2*t^5.311 + t^5.329 + t^5.655 - t^6. - (2*t^4.668)/y - 2*t^4.668*y | detail | |
79499 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4056 | 2.5313 | 0.9504 | [X:[], M:[0.8878, 0.6733], q:[0.7178, 0.6088], qb:[], phi:[], S:[0.5478, 0.5644], Sb:[], A:[], Ab:[]] | t^2.02 + t^2.663 + t^3.287 + t^3.386 + t^4.04 + t^4.683 + t^5.297 + t^5.307 + t^5.327 + t^5.346 + t^5.406 + t^5.624 + t^5.95 - 2*t^6. - t^4.644/y - t^4.693/y - t^4.644*y - t^4.693*y | detail | |
79501 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ | 2.3684 | 2.4561 | 0.9643 | [X:[], M:[0.9064], q:[0.7339, 0.7047], qb:[], phi:[], S:[0.5614, 0.5322], Sb:[], A:[], Ab:[]] | t^2.719 + t^3.193 + t^3.368 + t^4.316 + t^5.439 + t^5.825 + t^5.912 - t^6. - t^4.597/y - t^4.684/y - t^4.597*y - t^4.684*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 |
---|---|---|---|---|---|---|---|---|---|
79470 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ | 2.3747 | 2.4723 | 0.9605 | [X:[], M:[], q:[0.7181, 0.6127], qb:[], phi:[], S:[0.5478, 0.5637], Sb:[], A:[], Ab:[]] | t^3.287 + t^3.335 + t^3.382 + t^3.993 + t^5.32 + t^5.367 + t^5.636 - 2*t^6. - t^4.643/y - t^4.691/y - t^4.643*y - t^4.691*y | detail |