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 |
---|---|---|---|---|---|---|---|---|---|
79480 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3843 | 2.4892 | 0.9579 | [X:[], M:[0.8839], q:[0.7232, 0.6071], qb:[], phi:[], S:[0.558, 0.5536], Sb:[], A:[], Ab:[]] | [X:[], M:[[-2, 0]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{1}S_{2}^{2}$ | ${}$ | -2 | t^2.652 + t^3.321 + t^3.335 + t^3.991 + t^5.303 + t^5.304 + t^5.317 + t^5.665 + t^5.973 - 2*t^6. - t^6.348 + 3*t^6.643 + 2*t^6.656 + 3*t^6.67 + t^6.683 + t^6.697 + t^6.978 + t^7.312 + 2*t^7.326 + t^7.339 - t^7.661 - t^7.674 + 2*t^7.955 - t^8.022 - t^8.33 + t^8.357 + 3*t^8.625 + 4*t^8.638 + t^8.652 + t^8.665 - t^8.679 + 2*t^8.987 - t^4.661/y - t^4.674/y - t^7.312/y + t^7.339/y - (2*t^7.982)/y - (3*t^7.996)/y - (2*t^8.009)/y - t^8.022/y - t^8.652/y - t^8.665/y + t^8.973/y + t^8.987/y - t^4.661*y - t^4.674*y - t^7.312*y + t^7.339*y - 2*t^7.982*y - 3*t^7.996*y - 2*t^8.009*y - t^8.022*y - t^8.652*y - t^8.665*y + t^8.973*y + t^8.987*y | t^2.652/g1^2 + g2^4*t^3.321 + g1*g2^2*t^3.335 + t^3.991/(g1^6*g2^12) + t^5.303/g1^4 + t^5.304/(g1^12*g2^20) + t^5.317/(g1^11*g2^22) + t^5.665/(g1^5*g2^12) + (g2^4*t^5.973)/g1^2 - 2*t^6. - g1^6*g2^10*t^6.348 + t^6.643/(g1^8*g2^12) + 2*g2^8*t^6.643 + 2*g1*g2^6*t^6.656 + 3*g1^2*g2^4*t^6.67 + g1^3*g2^2*t^6.683 + g1^4*t^6.697 + t^6.978/(g1^11*g2^20) + t^7.312/(g1^6*g2^8) + (2*t^7.326)/(g1^5*g2^10) + t^7.339/(g1^4*g2^12) - g2^2*t^7.661 - g1*t^7.674 + t^7.955/g1^6 + t^7.955/(g1^14*g2^20) - g1^7*g2^10*t^8.022 - t^8.33/(g1^6*g2^14) + g1^12*g2^22*t^8.357 + (2*t^8.625)/(g1^12*g2^16) + (g2^4*t^8.625)/g1^4 + (4*t^8.638)/(g1^11*g2^18) - (2*t^8.652)/g1^2 + (3*t^8.652)/(g1^10*g2^20) + t^8.665/(g1^9*g2^22) - t^8.679/g2^4 + (2*t^8.987)/(g1^5*g2^8) - (g2^2*t^4.661)/y - (g1*t^4.674)/y - (g2^2*t^7.312)/(g1^2*y) + t^7.339/(g2^2*y) - (2*g2^6*t^7.982)/y - (3*g1*g2^4*t^7.996)/y - (2*g1^2*g2^2*t^8.009)/y - (g1^3*t^8.022)/y - t^8.652/(g1^6*g2^10*y) - t^8.665/(g1^5*g2^12*y) + (g2^4*t^8.973)/(g1^2*y) + (g2^2*t^8.987)/(g1*y) - g2^2*t^4.661*y - g1*t^4.674*y - (g2^2*t^7.312*y)/g1^2 + (t^7.339*y)/g2^2 - 2*g2^6*t^7.982*y - 3*g1*g2^4*t^7.996*y - 2*g1^2*g2^2*t^8.009*y - g1^3*t^8.022*y - (t^8.652*y)/(g1^6*g2^10) - (t^8.665*y)/(g1^5*g2^12) + (g2^4*t^8.973*y)/g1^2 + (g2^2*t^8.987*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
79521 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{1}^{2}$ | 2.3563 | 2.4536 | 0.9603 | [X:[], M:[1.0], q:[0.6944, 0.6382], qb:[], phi:[], S:[0.5, 0.6112], Sb:[], A:[], Ab:[]] | t^3. + t^3.334 + t^3.667 + t^3.998 + t^5.329 + t^5.498 + t^5.663 - t^4.5/y - t^4.834/y - t^4.5*y - t^4.834*y | detail | |
79496 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4052 | 2.5307 | 0.9504 | [X:[], M:[0.8839, 0.6691], q:[0.7233, 0.6077], qb:[], phi:[], S:[0.558, 0.5535], Sb:[], A:[], Ab:[]] | t^2.007 + t^2.652 + t^3.321 + t^3.335 + t^4.015 + t^4.659 + t^5.304 + t^5.306 + t^5.32 + t^5.328 + t^5.342 + t^5.667 + t^5.973 - 2*t^6. - t^4.66/y - t^4.674/y - t^4.66*y - t^4.674*y | detail | |
79495 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.3944 | 2.5072 | 0.955 | [X:[], M:[0.8838, 0.8875], q:[0.7228, 0.602], qb:[], phi:[], S:[0.5581, 0.5545], Sb:[], A:[], Ab:[]] | t^2.652 + t^2.662 + t^3.327 + t^3.974 + t^5.275 + t^5.286 + t^5.303 + t^5.314 + t^5.325 + t^5.648 + t^5.978 - 2*t^6. - t^4.663/y - t^4.674/y - t^4.663*y - t^4.674*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 |