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 |
---|---|---|---|---|---|---|---|---|---|
79477 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ | 2.387 | 2.4953 | 0.9566 | [X:[], M:[0.8508], q:[0.7127, 0.6082], qb:[], phi:[], S:[0.5386, 0.5746], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -4]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{1}S_{1}^{2}$, ${ }M_{1}S_{1}S_{2}$ | ${}$ | -2 | t^2.552 + t^3.231 + t^3.34 + t^3.963 + t^5.105 + t^5.265 + t^5.373 + t^5.578 + t^5.784 + t^5.892 - 2*t^6. - t^6.108 - t^6.314 + 2*t^6.463 + t^6.515 + 2*t^6.571 + 3*t^6.679 + t^6.787 + t^6.895 + t^6.989 + 2*t^7.194 + 2*t^7.302 - t^7.616 + t^7.657 - t^7.724 + t^7.817 + t^7.925 - t^7.929 - t^8.033 + t^8.131 - t^8.239 + t^8.336 - t^8.347 + t^8.351 + t^8.444 + 2*t^8.496 - 3*t^8.552 + 4*t^8.604 - t^8.66 + 3*t^8.712 + 2*t^8.81 + t^8.821 - t^8.866 + 3*t^8.918 - t^4.616/y - t^4.724/y - t^7.168/y + t^7.384/y - (2*t^7.847)/y - (3*t^7.955)/y - (2*t^8.063)/y - t^8.172/y - t^8.578/y - t^8.686/y + t^8.784/y + t^8.892/y - t^4.616*y - t^4.724*y - t^7.168*y + t^7.384*y - 2*t^7.847*y - 3*t^7.955*y - 2*t^8.063*y - t^8.172*y - t^8.578*y - t^8.686*y + t^8.784*y + t^8.892*y | t^2.552/g2^4 + g1^2*t^3.231 + g1*g2^2*t^3.34 + t^3.963/(g1^6*g2^12) + t^5.105/g2^8 + t^5.265/(g1^11*g2^22) + t^5.373/(g1^12*g2^20) + t^5.578/(g1^5*g2^12) + (g1^2*t^5.784)/g2^4 + (g1*t^5.892)/g2^2 - 2*t^6. - (g2^2*t^6.108)/g1 - g1^6*g2^10*t^6.314 + 2*g1^4*t^6.463 + t^6.515/(g1^6*g2^16) + 2*g1^3*g2^2*t^6.571 + 3*g1^2*g2^4*t^6.679 + g1*g2^6*t^6.787 + g2^8*t^6.895 + t^6.989/(g1^11*g2^20) + (2*t^7.194)/(g1^4*g2^12) + (2*t^7.302)/(g1^5*g2^10) - g1*t^7.616 + t^7.657/g2^12 - g2^2*t^7.724 + t^7.817/(g1^11*g2^26) + t^7.925/(g1^12*g2^24) - g1^7*g2^10*t^7.929 - t^8.033/(g1^13*g2^22) + t^8.131/(g1^5*g2^16) - t^8.239/(g1^6*g2^14) + (g1^2*t^8.336)/g2^8 - t^8.347/(g1^7*g2^12) + g1^12*g2^22*t^8.351 + (g1*t^8.444)/g2^6 + (2*t^8.496)/(g1^9*g2^22) - (3*t^8.552)/g2^4 + (4*t^8.604)/(g1^10*g2^20) - t^8.66/(g1*g2^2) + (3*t^8.712)/(g1^11*g2^18) + (2*t^8.81)/(g1^3*g2^12) + t^8.821/(g1^12*g2^16) - g1^6*g2^6*t^8.866 + (3*t^8.918)/(g1^4*g2^10) - (g1*t^4.616)/y - (g2^2*t^4.724)/y - (g1*t^7.168)/(g2^4*y) + t^7.384/(g1*y) - (2*g1^3*t^7.847)/y - (3*g1^2*g2^2*t^7.955)/y - (2*g1*g2^4*t^8.063)/y - (g2^6*t^8.172)/y - t^8.578/(g1^5*g2^12*y) - t^8.686/(g1^6*g2^10*y) + (g1^2*t^8.784)/(g2^4*y) + (g1*t^8.892)/(g2^2*y) - g1*t^4.616*y - g2^2*t^4.724*y - (g1*t^7.168*y)/g2^4 + (t^7.384*y)/g1 - 2*g1^3*t^7.847*y - 3*g1^2*g2^2*t^7.955*y - 2*g1*g2^4*t^8.063*y - g2^6*t^8.172*y - (t^8.578*y)/(g1^5*g2^12) - (t^8.686*y)/(g1^6*g2^10) + (g1^2*t^8.784*y)/g2^4 + (g1*t^8.892*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 |
---|---|---|---|---|---|---|---|---|
79502 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4078 | 2.5359 | 0.9495 | [X:[], M:[0.8515, 0.6768], q:[0.7129, 0.6103], qb:[], phi:[], S:[0.5385, 0.5743], Sb:[], A:[], Ab:[]] | t^2.031 + t^2.554 + t^3.231 + t^3.338 + t^4.061 + t^4.585 + t^5.109 + t^5.262 + t^5.277 + t^5.369 + t^5.385 + t^5.585 + t^5.786 + t^5.893 - 2*t^6. - t^4.616/y - t^4.723/y - t^4.616*y - t^4.723*y | detail | |
79500 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.3972 | 2.5136 | 0.9537 | [X:[], M:[0.8491, 0.8859], q:[0.7123, 0.603], qb:[], phi:[], S:[0.5386, 0.5755], Sb:[], A:[], Ab:[]] | t^2.547 + t^2.658 + t^3.232 + t^3.946 + t^5.094 + t^5.205 + t^5.234 + t^5.315 + t^5.345 + t^5.562 + t^5.779 + t^5.89 - 2*t^6. - t^4.616/y - t^4.726/y - t^4.616*y - t^4.726*y | detail | |
79515 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{2}^{2}$ + ${ }q_{1}q_{2}$ | 2.1104 | 2.1118 | 0.9993 | [X:[], M:[0.9779], q:[0.7445, 1.2555], qb:[], phi:[], S:[0.4889, 0.5111], Sb:[], A:[], Ab:[]] | 2*t^2.934 + t^3. + 4*t^5.867 + 2*t^5.934 + 2*t^6. - t^4.467/y - t^4.533/y - t^4.467*y - t^4.533*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 |