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 |
---|---|---|---|---|---|---|---|---|---|
79587 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}S_{2}$ | 2.3741 | 2.4866 | 0.9548 | [X:[], M:[1.0, 0.775], q:[0.6313, 0.6938], qb:[], phi:[], S:[0.5, 0.6125], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [-4]], q:[[-11], [-1]], qb:[], phi:[], S:[[0], [2]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}^{2}S_{1}$, ${ }M_{1}M_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$ | ${}S_{1}^{4}$ | 0 | t^2.325 + t^3. + t^3.337 + t^3.975 + t^4.65 + t^5.288 + t^5.325 + t^5.475 + t^5.625 + t^5.663 - t^6.187 + t^6.3 + t^6.337 + 3*t^6.675 + 3*t^6.975 + t^7.012 + t^7.125 + 2*t^7.313 + t^7.35 - t^7.5 + t^7.613 + t^7.65 - t^7.687 + t^7.8 - t^7.837 + t^7.95 + t^7.988 - t^8.138 + t^8.212 + t^8.288 - t^8.325 + t^8.475 - t^8.512 + 5*t^8.625 + t^8.663 + 3*t^8.813 + 3*t^8.963 - t^4.5/y - t^4.837/y - t^6.825/y - t^7.5/y - (3*t^7.837)/y - (2*t^8.175)/y + t^8.325/y - t^8.475/y - t^8.512/y + t^8.663/y - t^8.813/y - t^4.5*y - t^4.837*y - t^6.825*y - t^7.5*y - 3*t^7.837*y - 2*t^8.175*y + t^8.325*y - t^8.475*y - t^8.512*y + t^8.663*y - t^8.813*y | t^2.325/g1^4 + t^3. + g1^2*t^3.337 + t^3.975/g1^12 + t^4.65/g1^8 + t^5.288/g1^22 + t^5.325/g1^4 + t^5.475/g1^12 + t^5.625/g1^20 + t^5.663/g1^2 - g1^10*t^6.187 + t^6.3/g1^16 + g1^2*t^6.337 + 3*g1^4*t^6.675 + (3*t^6.975)/g1^12 + g1^6*t^7.012 + t^7.125/g1^20 + (2*t^7.313)/g1^10 + g1^8*t^7.35 - t^7.5 + t^7.613/g1^26 + t^7.65/g1^8 - g1^10*t^7.687 + t^7.8/g1^16 - g1^2*t^7.837 + t^7.95/g1^24 + t^7.988/g1^6 - t^8.138/g1^14 + g1^22*t^8.212 + t^8.288/g1^22 - t^8.325/g1^4 + t^8.475/g1^12 - g1^6*t^8.512 + (5*t^8.625)/g1^20 + t^8.663/g1^2 + (3*t^8.813)/g1^10 + (3*t^8.963)/g1^18 - t^4.5/y - (g1^2*t^4.837)/y - t^6.825/(g1^4*y) - t^7.5/y - (3*g1^2*t^7.837)/y - (2*g1^4*t^8.175)/y + t^8.325/(g1^4*y) - t^8.475/(g1^12*y) - (g1^6*t^8.512)/y + t^8.663/(g1^2*y) - t^8.813/(g1^10*y) - t^4.5*y - g1^2*t^4.837*y - (t^6.825*y)/g1^4 - t^7.5*y - 3*g1^2*t^7.837*y - 2*g1^4*t^8.175*y + (t^8.325*y)/g1^4 - (t^8.475*y)/g1^12 - g1^6*t^8.512*y + (t^8.663*y)/g1^2 - (t^8.813*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
79685 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ | 2.3431 | 2.4264 | 0.9657 | [X:[], M:[1.0, 0.8333], q:[0.7917, 0.7083], qb:[], phi:[], S:[0.5, 0.5833], Sb:[], A:[], Ab:[]] | t^2.5 + t^3. + t^3.25 + t^4.5 + t^5. + t^5.5 + t^6. - t^4.5/y - t^4.75/y - t^4.5*y - t^4.75*y | detail | {a: 3599/1536, c: 3727/1536, M1: 1, M2: 5/6, q1: 19/24, q2: 17/24, S1: 1/2, S2: 7/12} |
79682 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}S_{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.3565 | 2.4474 | 0.9629 | [X:[], M:[1.0, 0.8182], q:[0.75, 0.7045], qb:[], phi:[], S:[0.5, 0.5909], Sb:[], A:[], Ab:[]] | t^2.455 + t^3. + t^3.273 + t^4.364 + t^4.909 + t^5.455 + t^5.727 + t^6. - t^4.5/y - t^4.773/y - t^4.5*y - t^4.773*y | detail | {a: 200733/85184, c: 208477/85184, M1: 1, M2: 9/11, q1: 3/4, q2: 31/44, S1: 1/2, S2: 13/22} |
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 |
---|---|---|---|---|---|---|---|---|---|
79514 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{1}^{2}$ | 2.3777 | 2.4977 | 0.952 | [X:[], M:[1.0, 0.7601], q:[0.6402, 0.6402], qb:[], phi:[], S:[0.5, 0.6199], Sb:[], A:[], Ab:[]] | t^2.28 + t^3. + t^3.36 + t^3.841 + t^4.561 + t^5.28 + 3*t^5.341 + 3*t^5.701 - 3*t^6. - t^4.5/y - t^4.86/y - t^4.5*y - t^4.86*y | detail | {a: 10453561/4396416, c: 10980857/4396416, M1: 1, M2: 244/321, q1: 137/214, q2: 137/214, S1: 1/2, S2: 199/321} |