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 |
---|---|---|---|---|---|---|---|---|---|
79497 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ | 2.3671 | 2.4536 | 0.9647 | [X:[], M:[0.8886], q:[0.7324, 0.7222], qb:[], phi:[], S:[0.5557, 0.5352], Sb:[], A:[], Ab:[]] | [X:[], M:[[4]], q:[[-1], [1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}S_{2}^{2}$, ${ }M_{1}S_{1}S_{2}$ | ${}$ | -1 | t^2.666 + t^3.211 + t^3.273 + t^4.364 + t^5.332 + t^5.877 + t^5.939 - t^6. + 2*t^6.423 + 2*t^6.484 + 3*t^6.545 + t^6.607 + t^6.668 + t^7.029 + t^7.575 + 2*t^7.636 + t^7.997 + t^8.543 + t^8.604 - 2*t^8.666 - t^8.697 - t^8.758 - t^8.789 - t^4.606/y - t^4.667/y - t^7.271/y + t^7.394/y - (2*t^7.817)/y - (3*t^7.878)/y - (2*t^7.94)/y - t^8.001/y + t^8.877/y + t^8.939/y - t^8.969/y - t^4.606*y - t^4.667*y - t^7.271*y + t^7.394*y - 2*t^7.817*y - 3*t^7.878*y - 2*t^7.94*y - t^8.001*y + t^8.877*y + t^8.939*y - t^8.969*y | g1^4*t^2.666 + g1^4*t^3.211 + t^3.273 + t^4.364 + g1^8*t^5.332 + g1^8*t^5.877 + g1^4*t^5.939 - t^6. + 2*g1^8*t^6.423 + 2*g1^4*t^6.484 + 3*t^6.545 + t^6.607/g1^4 + t^6.668/g1^8 + g1^4*t^7.029 + g1^4*t^7.575 + 2*t^7.636 + g1^12*t^7.997 + g1^12*t^8.543 + g1^8*t^8.604 - 2*g1^4*t^8.666 - g1^2*t^8.697 - t^8.758/g1^2 - t^8.789/g1^4 - (g1^2*t^4.606)/y - t^4.667/(g1^2*y) - (g1^6*t^7.271)/y + t^7.394/(g1^2*y) - (2*g1^6*t^7.817)/y - (3*g1^2*t^7.878)/y - (2*t^7.94)/(g1^2*y) - t^8.001/(g1^6*y) + (g1^8*t^8.877)/y + (g1^4*t^8.939)/y - (g1^2*t^8.969)/y - g1^2*t^4.606*y - (t^4.667*y)/g1^2 - g1^6*t^7.271*y + (t^7.394*y)/g1^2 - 2*g1^6*t^7.817*y - 3*g1^2*t^7.878*y - (2*t^7.94*y)/g1^2 - (t^8.001*y)/g1^6 + g1^8*t^8.877*y + g1^4*t^8.939*y - g1^2*t^8.969*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 |
---|---|---|---|---|---|---|---|---|
79550 | ${}q_{1}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{1}^{2}$ | 2.3411 | 2.4207 | 0.9671 | [X:[], M:[1.0], q:[0.7045, 0.75], qb:[], phi:[], S:[0.5, 0.5909], Sb:[], A:[], Ab:[]] | t^3. + t^3.273 + t^3.545 + t^4.364 + t^6. - t^4.5/y - t^4.773/y - t^4.5*y - t^4.773*y | detail | {a: 199425/85184, c: 206201/85184, M1: 1, q1: 31/44, q2: 3/4, S1: 1/2, S2: 13/22} |
79564 | ${}q_{1}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.3754 | 2.4676 | 0.9626 | [X:[], M:[0.8886, 0.9091], q:[0.7324, 0.7222], qb:[], phi:[], S:[0.5557, 0.5352], Sb:[], A:[], Ab:[]] | t^2.666 + t^2.727 + t^3.211 + t^4.364 + t^5.332 + t^5.393 + t^5.455 + t^5.877 + t^5.939 - t^6. - t^4.606/y - t^4.667/y - t^4.606*y - t^4.667*y | detail | |
79536 | ${}q_{1}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.3745 | 2.4654 | 0.9631 | [X:[], M:[0.9091, 0.9091], q:[0.7273, 0.7273], qb:[], phi:[], S:[0.5455, 0.5455], Sb:[], A:[], Ab:[]] | 2*t^2.727 + t^3.273 + t^4.364 + 3*t^5.455 + t^6. - (2*t^4.636)/y - 2*t^4.636*y | detail | {a: 6321/2662, c: 6563/2662, M1: 10/11, M2: 10/11, q1: 8/11, q2: 8/11, S1: 6/11, S2: 6/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
79475 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.3579 | 2.4375 | 0.9674 | [X:[], M:[], q:[0.7273, 0.7273], qb:[], phi:[], S:[0.5455, 0.5455], Sb:[], A:[], Ab:[]] | 3*t^3.273 + t^4.364 - t^6. - (2*t^4.636)/y - 2*t^4.636*y | detail | {a: 25107/10648, c: 12977/5324, q1: 8/11, q2: 8/11, S1: 6/11, S2: 6/11} |