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 |
---|---|---|---|---|---|---|---|---|---|
79581 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ | 2.3902 | 2.5187 | 0.949 | [X:[], M:[0.8826, 1.0, 0.7042], q:[0.6479, 0.6479], qb:[], phi:[], S:[0.5, 0.6174], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -1], [0, 0], [0, 6]], q:[[-1, -6], [1, 0]], qb:[], phi:[], S:[[0, 0], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{3}S_{2}^{2}$ | ${}S_{1}^{4}$ | -3 | t^2.113 + t^2.648 + t^3. + t^3.704 + t^4.225 + t^4.76 + t^5.113 + t^5.296 + 3*t^5.387 + 3*t^5.74 + t^5.817 - 3*t^6. + t^6.338 + t^6.352 + 3*t^6.704 + t^6.873 + t^6.887 + t^7.056 + t^7.225 + 4*t^7.24 + 3*t^7.408 - t^7.5 + t^7.592 - t^7.852 + t^7.929 + t^7.944 + 6*t^8.387 + t^8.45 + t^8.465 - 4*t^8.648 + 10*t^8.74 + 3*t^8.817 + t^8.986 - t^4.5/y - t^4.852/y - t^6.613/y - t^6.965/y - (2*t^7.5)/y + t^7.76/y - (2*t^7.852)/y + t^8.113/y - (2*t^8.204)/y - (2*t^8.556)/y + t^8.648/y - t^8.725/y + t^8.817/y - t^4.5*y - t^4.852*y - t^6.613*y - t^6.965*y - 2*t^7.5*y + t^7.76*y - 2*t^7.852*y + t^8.113*y - 2*t^8.204*y - 2*t^8.556*y + t^8.648*y - t^8.725*y + t^8.817*y | g2^6*t^2.113 + t^2.648/g2 + t^3. + g2^2*t^3.704 + g2^12*t^4.225 + g2^5*t^4.76 + g2^6*t^5.113 + t^5.296/g2^2 + g1^2*t^5.387 + t^5.387/(g1^2*g2^12) + t^5.387/g2^6 + t^5.74/(g1^2*g2^11) + t^5.74/g2^5 + g1^2*g2*t^5.74 + g2^8*t^5.817 - t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. + g2^18*t^6.338 + g2*t^6.352 + 3*g2^2*t^6.704 + g2^11*t^6.873 + t^6.887/g2^6 + g2^3*t^7.056 + g2^12*t^7.225 + t^7.24/(g1^2*g2^11) + (2*t^7.24)/g2^5 + g1^2*g2*t^7.24 + 3*g2^4*t^7.408 - t^7.5 + t^7.592/g2^4 - g2*t^7.852 + g2^14*t^7.929 + t^7.944/g2^3 + 2*g1^2*t^8.387 + (2*t^8.387)/(g1^2*g2^12) + (2*t^8.387)/g2^6 + g2^24*t^8.45 + g2^7*t^8.465 - t^8.648/(g1^2*g2^7) - (2*t^8.648)/g2 - g1^2*g2^5*t^8.648 + (3*t^8.74)/(g1^2*g2^11) + (4*t^8.74)/g2^5 + 3*g1^2*g2*t^8.74 + 3*g2^8*t^8.817 + g2^17*t^8.986 - t^4.5/y - (g2*t^4.852)/y - (g2^6*t^6.613)/y - (g2^7*t^6.965)/y - (2*t^7.5)/y + (g2^5*t^7.76)/y - (2*g2*t^7.852)/y + (g2^6*t^8.113)/y - (2*g2^2*t^8.204)/y - (2*g2^3*t^8.556)/y + t^8.648/(g2*y) - (g2^12*t^8.725)/y + (g2^8*t^8.817)/y - t^4.5*y - g2*t^4.852*y - g2^6*t^6.613*y - g2^7*t^6.965*y - 2*t^7.5*y + g2^5*t^7.76*y - 2*g2*t^7.852*y + g2^6*t^8.113*y - 2*g2^2*t^8.204*y - 2*g2^3*t^8.556*y + (t^8.648*y)/g2 - g2^12*t^8.725*y + g2^8*t^8.817*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 |
---|---|---|---|---|---|---|---|---|
79690 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ | 2.1615 | 2.3365 | 0.9251 | [X:[], M:[0.8, 1.0, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.5, 0.7], Sb:[], A:[], Ab:[]] | t^2.4 + t^3. + t^3.6 + 3*t^3.9 + t^4.2 + 3*t^4.5 + t^4.8 + t^5.4 + 2*t^6. - t^4.5/y - t^5.1/y - t^4.5*y - t^5.1*y | detail | {a: 4323/2000, c: 4673/2000, M1: 4/5, M2: 1, M3: 6/5, q1: 2/5, q2: 2/5, S1: 1/2, S2: 7/10} |
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 |
---|---|---|---|---|---|---|---|---|---|
79513 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ | 2.3699 | 2.4822 | 0.9548 | [X:[], M:[0.8802, 1.0], q:[0.6407, 0.6407], qb:[], phi:[], S:[0.5, 0.6198], Sb:[], A:[], Ab:[]] | t^2.641 + t^3. + t^3.719 + t^3.844 + t^5.281 + 3*t^5.344 + 3*t^5.704 - 3*t^6. - t^4.5/y - t^4.859/y - t^4.5*y - t^4.859*y | detail |