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 |
---|---|---|---|---|---|---|---|---|---|
79530 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.3705 | 2.4976 | 0.9491 | [X:[], M:[0.775], q:[0.5312, 0.6938], qb:[], phi:[], S:[0.6125, 0.5167], Sb:[], A:[], Ab:[]] | [X:[], M:[[12]], q:[[-15], [3]], qb:[], phi:[], S:[[-6], [8]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{1}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }M_{1}S_{2}^{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -1 | t^2.325 + t^3.1 + t^3.388 + t^3.675 + t^4.65 + t^4.737 + t^5.025 + t^5.225 + t^5.425 + t^5.713 - t^6. + 2*t^6.2 - t^6.287 + t^6.488 + t^6.575 + 5*t^6.775 + t^6.975 + 4*t^7.062 + 2*t^7.35 - t^7.637 + t^7.75 + 3*t^8.125 + 4*t^8.412 + 2*t^8.525 + 2*t^8.612 + 2*t^8.699 + 2*t^8.813 + 2*t^8.9 - t^4.55/y - t^4.837/y - t^6.875/y + t^7.45/y - (2*t^7.65)/y - (3*t^7.938)/y - (3*t^8.225)/y + t^8.425/y - (2*t^8.512)/y + t^8.713/y - t^4.55*y - t^4.837*y - t^6.875*y + t^7.45*y - 2*t^7.65*y - 3*t^7.938*y - 3*t^8.225*y + t^8.425*y - 2*t^8.512*y + t^8.713*y | g1^12*t^2.325 + g1^16*t^3.1 + g1^2*t^3.388 + t^3.675/g1^12 + g1^24*t^4.65 + t^4.737/g1^22 + t^5.025/g1^36 + t^5.225/g1^4 + g1^28*t^5.425 + g1^14*t^5.713 - t^6. + 2*g1^32*t^6.2 - t^6.287/g1^14 + g1^18*t^6.488 + t^6.575/g1^28 + 5*g1^4*t^6.775 + g1^36*t^6.975 + (4*t^7.062)/g1^10 + (2*t^7.35)/g1^24 - t^7.637/g1^38 + g1^40*t^7.75 + (3*t^8.125)/g1^20 + (4*t^8.412)/g1^34 + 2*g1^44*t^8.525 + (2*t^8.612)/g1^2 + (2*t^8.699)/g1^48 + 2*g1^30*t^8.813 + (2*t^8.9)/g1^16 - (g1^8*t^4.55)/y - t^4.837/(g1^6*y) - (g1^20*t^6.875)/y + t^7.45/(g1^8*y) - (2*g1^24*t^7.65)/y - (3*g1^10*t^7.938)/y - (3*t^8.225)/(g1^4*y) + (g1^28*t^8.425)/y - (2*t^8.512)/(g1^18*y) + (g1^14*t^8.713)/y - g1^8*t^4.55*y - (t^4.837*y)/g1^6 - g1^20*t^6.875*y + (t^7.45*y)/g1^8 - 2*g1^24*t^7.65*y - 3*g1^10*t^7.938*y - (3*t^8.225*y)/g1^4 + g1^28*t^8.425*y - (2*t^8.512*y)/g1^18 + g1^14*t^8.713*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 |
---|---|---|---|---|---|---|---|---|
79589 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{1}M_{2}$ | 2.3528 | 2.4665 | 0.9539 | [X:[], M:[0.78, 1.22], q:[0.525, 0.695], qb:[], phi:[], S:[0.61, 0.52], Sb:[], A:[], Ab:[]] | t^3.12 + t^3.39 + 2*t^3.66 + t^4.71 + t^4.98 + t^5.22 - 2*t^6. - t^4.56/y - t^4.83/y - t^4.56*y - t^4.83*y | detail | |
79598 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}S_{2}$ | 2.382 | 2.5173 | 0.9463 | [X:[], M:[0.7763, 0.8706], q:[0.5296, 0.6941], qb:[], phi:[], S:[0.6119, 0.5175], Sb:[], A:[], Ab:[]] | t^2.329 + t^2.612 + t^3.105 + t^3.671 + t^4.658 + t^4.73 + t^4.941 + t^5.013 + 2*t^5.224 + t^5.434 + t^5.717 - t^6. - t^4.553/y - t^4.836/y - t^4.553*y - t^4.836*y | detail | |
79588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{1}^{2}$ | 2.3885 | 2.5296 | 0.9442 | [X:[], M:[0.7704, 0.7704], q:[0.537, 0.6926], qb:[], phi:[], S:[0.6148, 0.5136], Sb:[], A:[], Ab:[]] | 2*t^2.311 + t^3.082 + t^3.385 + 3*t^4.623 + t^4.763 + t^5.066 + t^5.23 + 2*t^5.393 + 2*t^5.697 - 2*t^6. - t^4.541/y - t^4.844/y - t^4.541*y - t^4.844*y | detail | |
79591 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}S_{2}^{2}$ | 2.3743 | 2.5054 | 0.9477 | [X:[], M:[0.7864, 0.9514], q:[0.517, 0.6966], qb:[], phi:[], S:[0.6068, 0.5243], Sb:[], A:[], Ab:[]] | t^2.359 + t^2.854 + t^3.393 + t^3.641 + t^4.675 + t^4.718 + t^4.922 + 2*t^5.214 + t^5.709 + t^5.752 - t^6. - t^4.573/y - t^4.82/y - t^4.573*y - t^4.82*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 |
---|---|---|---|---|---|---|---|---|---|
79489 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3962 | 2.5275 | 0.9481 | [X:[], M:[0.8247], q:[0.5877, 0.5877], qb:[], phi:[], S:[0.5877, 0.5498], Sb:[], A:[], Ab:[]] | t^2.474 + t^3.299 + t^3.412 + t^3.526 + t^4.948 + 3*t^5.175 + 3*t^5.289 + t^5.773 - 4*t^6. - t^4.649/y - t^4.763/y - t^4.649*y - t^4.763*y | detail |