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 |
---|---|---|---|---|---|---|---|---|---|
79510 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ | 2.229 | 2.404 | 0.9272 | [X:[], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 0], [0, 0]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 | {a: 2229/1000, c: 601/250, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}^{2}$ | ${}q_{1}q_{2}S_{1}^{2}$, ${ }q_{1}^{2}S_{1}S_{2}$, ${ 2}q_{1}q_{2}S_{1}S_{2}$, ${ }q_{2}^{2}S_{1}S_{2}$, ${ }q_{1}q_{2}S_{2}^{2}$ | 2 | t^2.4 + 3*t^3.6 + 6*t^4.2 + t^4.8 + 2*t^6. + 13*t^7.2 + 30*t^7.8 + 11*t^8.4 - (2*t^4.8)/y - (10*t^8.4)/y - 2*t^4.8*y - 10*t^8.4*y | t^2.4 + t^3.6 + t^3.6/g2^2 + g2^2*t^3.6 + t^4.2/g2 + t^4.2/(g1^2*g2) + (g1^2*t^4.2)/g2 + g2*t^4.2 + (g2*t^4.2)/g1^2 + g1^2*g2*t^4.2 + t^4.8 + t^6./g2^2 + g2^2*t^6. + 5*t^7.2 + (2*t^7.2)/g2^4 + (2*t^7.2)/g2^2 + 2*g2^2*t^7.2 + 2*g2^4*t^7.2 + (2*t^7.8)/g2^3 + (2*t^7.8)/(g1^2*g2^3) + (2*g1^2*t^7.8)/g2^3 + (3*t^7.8)/g2 + (3*t^7.8)/(g1^2*g2) + (3*g1^2*t^7.8)/g2 + 3*g2*t^7.8 + (3*g2*t^7.8)/g1^2 + 3*g1^2*g2*t^7.8 + 2*g2^3*t^7.8 + (2*g2^3*t^7.8)/g1^2 + 2*g1^2*g2^3*t^7.8 + t^8.4 + t^8.4/g1^4 + t^8.4/g1^2 + g1^2*t^8.4 + g1^4*t^8.4 + t^8.4/g2^2 + t^8.4/(g1^4*g2^2) + (g1^4*t^8.4)/g2^2 + g2^2*t^8.4 + (g2^2*t^8.4)/g1^4 + g1^4*g2^2*t^8.4 - t^4.8/(g2*y) - (g2*t^4.8)/y - (2*t^8.4)/(g2^3*y) - (3*t^8.4)/(g2*y) - (3*g2*t^8.4)/y - (2*g2^3*t^8.4)/y - (t^4.8*y)/g2 - g2*t^4.8*y - (2*t^8.4*y)/g2^3 - (3*t^8.4*y)/g2 - 3*g2*t^8.4*y - 2*g2^3*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
79534 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 2.2125 | 2.375 | 0.9316 | [X:[], M:[0.8, 1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]] | 4*t^3.6 + 6*t^4.2 - t^6. - (2*t^4.8)/y - 2*t^4.8*y | detail | {a: 177/80, c: 19/8, M1: 4/5, M2: 6/5, M3: 6/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5} |
79566 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 2.2455 | 2.433 | 0.9229 | [X:[], M:[0.8, 1.2, 0.8], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]] | 2*t^2.4 + 2*t^3.6 + 6*t^4.2 + 3*t^4.8 + 3*t^6. - (2*t^4.8)/y - 2*t^4.8*y | detail | {a: 4491/2000, c: 2433/1000, M1: 4/5, M2: 6/5, M3: 4/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5} |
79577 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.246 | 2.4345 | 0.9226 | [X:[], M:[0.8, 1.2, 0.7839], q:[0.4, 0.4], qb:[], phi:[], S:[0.6081, 0.5919], Sb:[], A:[], Ab:[]] | t^2.352 + t^2.4 + t^3.552 + t^3.6 + 3*t^4.176 + 3*t^4.224 + t^4.703 + t^4.752 + t^4.8 + t^5.903 + 2*t^5.952 - t^4.776/y - t^4.824/y - t^4.776*y - t^4.824*y | detail | |
79605 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }S_{1}^{2}$ + ${ }S_{2}^{2}X_{1}$ | 1.1535 | 1.291 | 0.8935 | [X:[1.6], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[1.0, 0.2], Sb:[], A:[], Ab:[]] | 2*t^2.4 + 3*t^3. + t^3.6 + 3*t^4.2 + 4*t^4.8 + 6*t^5.4 + 4*t^6. - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - 2*t^6.*y | detail | {a: 2307/2000, c: 1291/1000, X1: 8/5, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 1, S2: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
79486 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4171 | 2.5492 | 0.9482 | [X:[], M:[0.8763, 0.742], q:[0.629, 0.629], qb:[], phi:[], S:[0.5618, 0.5618], Sb:[], A:[], Ab:[]] | t^2.226 + t^2.629 + 2*t^3.371 + t^4.452 + t^4.855 + t^5.258 + 6*t^5.459 + 2*t^5.597 - 5*t^6. - (2*t^4.686)/y - 2*t^4.686*y | detail |