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 |
---|---|---|---|---|---|---|---|---|---|
79543 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{2}^{2}$ | 2.4204 | 2.5694 | 0.942 | [X:[], M:[0.8921, 0.8309, 0.8309], q:[0.5846, 0.5846], qb:[], phi:[], S:[0.5539, 0.5846], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 8], [0, -6], [0, -6]], q:[[-1, 6], [1, 0]], qb:[], phi:[], S:[[0, -4], [0, 3]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }S_{1}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}S_{1}S_{2}$ | ${}$ | -5 | 2*t^2.493 + t^2.676 + t^3.415 + 3*t^4.985 + 5*t^5.169 + 3*t^5.261 + t^5.353 + t^5.908 - 5*t^6. + t^6.647 + t^6.739 + 4*t^6.831 + 5*t^6.923 + 2*t^7.015 + 4*t^7.478 + 5*t^7.662 - t^7.754 + 2*t^7.846 + 3*t^7.937 + t^8.029 + t^8.401 - 4*t^8.493 + 10*t^8.585 + 5*t^8.676 + 3*t^8.768 - t^4.662/y - t^4.754/y - (2*t^7.154)/y - t^7.246/y - t^7.43/y - (2*t^8.077)/y - t^8.261/y + (2*t^8.908)/y - t^4.662*y - t^4.754*y - 2*t^7.154*y - t^7.246*y - t^7.43*y - 2*t^8.077*y - t^8.261*y + 2*t^8.908*y | (2*t^2.493)/g2^6 + g2^8*t^2.676 + t^3.415/g2 + (3*t^4.985)/g2^12 + (g1^2*t^5.169)/g2^4 + 3*g2^2*t^5.169 + (g2^8*t^5.169)/g1^2 + g1^2*g2^3*t^5.261 + g2^9*t^5.261 + (g2^15*t^5.261)/g1^2 + g2^16*t^5.353 + t^5.908/g2^7 - 3*t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + t^6.647/g2^16 + t^6.739/g2^9 + (4*t^6.831)/g2^2 + (g1^2*t^6.923)/g2 + 3*g2^5*t^6.923 + (g2^11*t^6.923)/g1^2 + 2*g2^12*t^7.015 + (4*t^7.478)/g2^18 + (g1^2*t^7.662)/g2^10 + (3*t^7.662)/g2^4 + (g2^2*t^7.662)/g1^2 - g2^3*t^7.754 + 2*g2^10*t^7.846 + g1^2*g2^11*t^7.937 + g2^17*t^7.937 + (g2^23*t^7.937)/g1^2 + g2^24*t^8.029 + t^8.401/g2^13 - (4*t^8.493)/g2^6 + (3*g1^2*t^8.585)/g2^5 + 4*g2*t^8.585 + (3*g2^7*t^8.585)/g1^2 + 2*g1^2*g2^2*t^8.676 + g2^8*t^8.676 + (2*g2^14*t^8.676)/g1^2 + g1^2*g2^9*t^8.768 + g2^15*t^8.768 + (g2^21*t^8.768)/g1^2 - t^4.662/(g2^4*y) - (g2^3*t^4.754)/y - (2*t^7.154)/(g2^10*y) - t^7.246/(g2^3*y) - (g2^11*t^7.43)/y - (2*t^8.077)/(g2^5*y) - (g2^9*t^8.261)/y + (2*t^8.908)/(g2^7*y) - (t^4.662*y)/g2^4 - g2^3*t^4.754*y - (2*t^7.154*y)/g2^10 - (t^7.246*y)/g2^3 - g2^11*t^7.43*y - (2*t^8.077*y)/g2^5 - g2^9*t^8.261*y + (2*t^8.908*y)/g2^7 |
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 |
---|---|---|---|---|---|---|---|---|
79617 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{1}^{2}$ | 2.3961 | 2.5367 | 0.9446 | [X:[], M:[1.0, 0.75, 0.75], q:[0.625, 0.625], qb:[], phi:[], S:[0.5, 0.625], Sb:[], A:[], Ab:[]] | 2*t^2.25 + t^3. + t^3.375 + 3*t^4.5 + 5*t^5.25 + 4*t^5.625 - 3*t^6. - t^4.5/y - t^4.875/y - t^4.5*y - t^4.875*y | detail | {a: 19629/8192, c: 20781/8192, M1: 1, M2: 3/4, M3: 3/4, q1: 5/8, q2: 5/8, S1: 1/2, S2: 5/8} |
79612 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.369 | 2.5155 | 0.9418 | [X:[], M:[0.9251, 0.8062, 0.8062], q:[0.7313, 0.4625], qb:[], phi:[], S:[0.5375, 0.5969], Sb:[], A:[], Ab:[]] | 2*t^2.419 + t^2.775 + t^3.403 + t^4.388 + t^4.566 + 3*t^4.837 + 2*t^5.194 + t^5.372 + t^5.55 + t^5.822 - 2*t^6. - t^4.612/y - t^4.791/y - t^4.612*y - t^4.791*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 |
---|---|---|---|---|---|---|---|---|---|
79503 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.4062 | 2.5463 | 0.945 | [X:[], M:[0.8791, 0.8407], q:[0.5797, 0.5797], qb:[], phi:[], S:[0.5605, 0.5797], Sb:[], A:[], Ab:[]] | t^2.522 + t^2.637 + t^3.42 + t^3.478 + t^5.044 + 4*t^5.159 + 3*t^5.217 + t^5.275 - 4*t^6. - t^4.681/y - t^4.739/y - t^4.681*y - t^4.739*y | detail |