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 |
---|---|---|---|---|---|---|---|---|---|
79584 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 2.2864 | 2.3625 | 0.9678 | [X:[], M:[0.9063, 1.0937, 1.0937], q:[0.7189, 0.7189], qb:[], phi:[], S:[0.4532, 0.6405], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2], [0, 2], [0, 2]], q:[[-1, -12], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 3]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$ | ${}S_{1}^{3}S_{2}$ | -4 | 2*t^3.281 + t^3.843 + t^4.314 + 3*t^5.673 - 4*t^6. + 3*t^6.235 + 4*t^6.562 + t^7.032 + 3*t^7.124 - 4*t^7.359 + 6*t^7.595 + 5*t^7.686 - 4*t^7.922 + t^8.157 + t^8.627 - 4*t^8.719 + 10*t^8.954 - t^4.359/y - t^4.922/y - (2*t^7.641)/y - (4*t^8.203)/y - t^8.673/y - (2*t^8.765)/y - t^4.359*y - t^4.922*y - 2*t^7.641*y - 4*t^8.203*y - t^8.673*y - 2*t^8.765*y | 2*g2^2*t^3.281 + g2^6*t^3.843 + t^4.314/g2^12 + t^5.673/(g1^2*g2^25) + t^5.673/g2^13 + (g1^2*t^5.673)/g2 - 2*t^6. - t^6./(g1^2*g2^12) - g1^2*g2^12*t^6. + t^6.235/(g1^2*g2^21) + t^6.235/g2^9 + g1^2*g2^3*t^6.235 + 4*g2^4*t^6.562 + t^7.032/g2^14 + 3*g2^8*t^7.124 - t^7.359/(g1^2*g2^13) - (2*t^7.359)/g2 - g1^2*g2^11*t^7.359 + t^7.595/(g1^2*g2^22) + (4*t^7.595)/g2^10 + g1^2*g2^2*t^7.595 + t^7.686/g1^2 + 3*g2^12*t^7.686 + g1^2*g2^24*t^7.686 - t^7.922/(g1^2*g2^9) - 2*g2^3*t^7.922 - g1^2*g2^15*t^7.922 + t^8.157/g2^6 + t^8.627/g2^24 - t^8.719/(g1^2*g2^14) - (2*t^8.719)/g2^2 - g1^2*g2^10*t^8.719 + (3*t^8.954)/(g1^2*g2^23) + (4*t^8.954)/g2^11 + 3*g1^2*g2*t^8.954 - t^4.359/(g2*y) - (g2^3*t^4.922)/y - (2*g2*t^7.641)/y - (4*g2^5*t^8.203)/y - t^8.673/(g2^13*y) - (2*g2^9*t^8.765)/y - (t^4.359*y)/g2 - g2^3*t^4.922*y - 2*g2*t^7.641*y - 4*g2^5*t^8.203*y - (t^8.673*y)/g2^13 - 2*g2^9*t^8.765*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 |
---|---|---|---|---|---|---|---|---|
79628 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}S_{2}^{2}$ | 2.3066 | 2.4017 | 0.9604 | [X:[], M:[0.9048, 1.0952, 1.0952, 0.7144], q:[0.7144, 0.7144], qb:[], phi:[], S:[0.4524, 0.6428], Sb:[], A:[], Ab:[]] | t^2.143 + 2*t^3.286 + 2*t^4.287 + 2*t^5.429 + 3*t^5.644 - 4*t^6. - t^4.357/y - t^4.928/y - t^4.357*y - t^4.928*y | detail | |
79644 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{1}q_{2}S_{1}$ | 2.2796 | 2.3421 | 0.9733 | [X:[], M:[0.9231, 1.0769, 1.0769], q:[0.7692, 0.7692], qb:[], phi:[], S:[0.4615, 0.6154], Sb:[], A:[], Ab:[]] | 2*t^3.231 + t^3.692 + t^4.615 - t^6. - t^4.385/y - t^4.846/y - t^4.385*y - t^4.846*y | detail | {a: 80133/35152, c: 41165/17576, M1: 12/13, M2: 14/13, M3: 14/13, q1: 10/13, q2: 10/13, S1: 6/13, S2: 8/13} |
79637 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{1}^{2}S_{1}$ | 2.2834 | 2.3535 | 0.9702 | [X:[], M:[0.9137, 1.0863, 1.0863], q:[0.7716, 0.7109], qb:[], phi:[], S:[0.4569, 0.6294], Sb:[], A:[], Ab:[]] | 2*t^3.259 + t^3.776 + t^4.447 + t^5.636 - t^6. - t^4.371/y - t^4.888/y - t^4.371*y - t^4.888*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 |
---|---|---|---|---|---|---|---|---|---|
79517 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ | 2.295 | 2.3785 | 0.9649 | [X:[], M:[0.9046, 1.0954], q:[0.7138, 0.7138], qb:[], phi:[], S:[0.4523, 0.6431], Sb:[], A:[], Ab:[]] | t^2.714 + t^3.286 + t^3.859 + t^4.283 + t^5.428 + 3*t^5.64 - 3*t^6. - t^4.357/y - t^4.929/y - t^4.357*y - t^4.929*y | detail |