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 |
---|---|---|---|---|---|---|---|---|---|
79483 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.418 | 2.5513 | 0.9477 | [X:[], M:[0.8558, 0.7417], q:[0.6292, 0.6292], qb:[], phi:[], S:[0.5721, 0.5515], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2, 0], [0, 6, 6]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{2}S_{2}^{2}$, ${ }M_{2}S_{1}S_{2}$, ${ }M_{1}S_{2}^{2}$ | ${}$ | -5 | t^2.225 + t^2.567 + t^3.309 + t^3.371 + t^4.45 + t^4.792 + t^5.135 + 3*t^5.429 + 3*t^5.491 + t^5.534 + t^5.596 + t^5.876 - 5*t^6. - t^6.062 + 2*t^6.618 + t^6.675 + 2*t^6.68 + 3*t^6.742 + t^6.804 + t^6.865 + t^7.018 + t^7.084 + 4*t^7.146 + t^7.208 + t^7.36 - t^7.655 + t^7.702 - t^7.716 + t^7.759 + t^7.821 + 3*t^7.997 + t^8.101 - 3*t^8.12 - 2*t^8.225 - t^8.287 + t^8.444 - 5*t^8.567 + 6*t^8.738 + 13*t^8.8 + 2*t^8.843 + 10*t^8.862 + t^8.9 + 2*t^8.905 + 3*t^8.924 + 3*t^8.967 - t^4.655/y - t^4.716/y - t^6.88/y - t^6.941/y - t^7.222/y + t^7.345/y + t^7.792/y - (2*t^7.964)/y - (3*t^8.025)/y - (2*t^8.087)/y - t^8.149/y + t^8.534/y + t^8.596/y + t^8.876/y + t^8.938/y - t^4.655*y - t^4.716*y - t^6.88*y - t^6.941*y - t^7.222*y + t^7.345*y + t^7.792*y - 2*t^7.964*y - 3*t^8.025*y - 2*t^8.087*y - t^8.149*y + t^8.534*y + t^8.596*y + t^8.876*y + t^8.938*y | g2^6*g3^6*t^2.225 + t^2.567/g2^2 + g3^2*t^3.309 + g2*g3*t^3.371 + g2^12*g3^12*t^4.45 + g2^4*g3^6*t^4.792 + t^5.135/g2^4 + t^5.429/(g1^2*g2^12*g3^11) + t^5.429/(g2^6*g3^5) + g1^2*g3*t^5.429 + g1^2*g2*t^5.491 + t^5.491/(g1^2*g2^11*g3^12) + t^5.491/(g2^5*g3^6) + g2^6*g3^8*t^5.534 + g2^7*g3^7*t^5.596 + (g3^2*t^5.876)/g2^2 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. - (g2*t^6.062)/g3 + 2*g3^4*t^6.618 + g2^18*g3^18*t^6.675 + 2*g2*g3^3*t^6.68 + 3*g2^2*g3^2*t^6.742 + g2^3*g3*t^6.804 + g2^4*t^6.865 + g2^10*g3^12*t^7.018 + t^7.084/(g2^6*g3^4) + t^7.146/(g1^2*g2^11*g3^11) + (2*t^7.146)/(g2^5*g3^5) + g1^2*g2*g3*t^7.146 + t^7.208/(g2^4*g3^6) + g2^2*g3^6*t^7.36 - g3*t^7.655 + t^7.702/g2^6 - g2*t^7.716 + g2^12*g3^14*t^7.759 + g2^13*g3^13*t^7.821 + t^7.997/(g1^2*g2^14*g3^11) + t^7.997/(g2^8*g3^5) + (g1^2*g3*t^7.997)/g2^2 + g2^4*g3^8*t^8.101 - t^8.12/(g1^2*g2^12*g3^13) - t^8.12/(g2^6*g3^7) - (g1^2*t^8.12)/g3 - 2*g2^6*g3^6*t^8.225 - g2^7*g3^5*t^8.287 + (g3^2*t^8.444)/g2^4 - (3*t^8.567)/g2^2 - t^8.567/(g1^2*g2^8*g3^6) - g1^2*g2^4*g3^6*t^8.567 + (2*t^8.738)/(g1^2*g2^12*g3^9) + (2*t^8.738)/(g2^6*g3^3) + 2*g1^2*g3^3*t^8.738 + (4*t^8.8)/(g1^2*g2^11*g3^10) + (5*t^8.8)/(g2^5*g3^4) + 4*g1^2*g2*g3^2*t^8.8 + 2*g2^6*g3^10*t^8.843 + (3*t^8.862)/(g1^2*g2^10*g3^11) + (4*t^8.862)/(g2^4*g3^5) + 3*g1^2*g2^2*g3*t^8.862 + g2^24*g3^24*t^8.9 + 2*g2^7*g3^9*t^8.905 + g1^2*g2^3*t^8.924 + t^8.924/(g1^2*g2^9*g3^12) + t^8.924/(g2^3*g3^6) + 3*g2^8*g3^8*t^8.967 - (g3*t^4.655)/y - (g2*t^4.716)/y - (g2^6*g3^7*t^6.88)/y - (g2^7*g3^6*t^6.941)/y - (g3*t^7.222)/(g2^2*y) + t^7.345/(g3*y) + (g2^4*g3^6*t^7.792)/y - (2*g3^3*t^7.964)/y - (3*g2*g3^2*t^8.025)/y - (2*g2^2*g3*t^8.087)/y - (g2^3*t^8.149)/y + (g2^6*g3^8*t^8.534)/y + (g2^7*g3^7*t^8.596)/y + (g3^2*t^8.876)/(g2^2*y) + (g3*t^8.938)/(g2*y) - g3*t^4.655*y - g2*t^4.716*y - g2^6*g3^7*t^6.88*y - g2^7*g3^6*t^6.941*y - (g3*t^7.222*y)/g2^2 + (t^7.345*y)/g3 + g2^4*g3^6*t^7.792*y - 2*g3^3*t^7.964*y - 3*g2*g3^2*t^8.025*y - 2*g2^2*g3*t^8.087*y - g2^3*t^8.149*y + g2^6*g3^8*t^8.534*y + g2^7*g3^7*t^8.596*y + (g3^2*t^8.876*y)/g2^2 + (g3*t^8.938*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
79493 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.406 | 2.5501 | 0.9435 | [X:[], M:[0.8374, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]] | t^2.512 + t^2.571 + t^3.369 + t^3.429 + t^5.024 + t^5.084 + 3*t^5.113 + t^5.143 + 3*t^5.172 + t^5.881 + t^5.941 - 4*t^6. - t^4.685/y - t^4.744/y - t^4.685*y - t^4.744*y | detail | |
79503 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{2}^{2}$ | 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 | |
79512 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ | 2.4283 | 2.5688 | 0.9453 | [X:[], M:[0.8751, 0.7495, 0.8751], q:[0.6252, 0.6252], qb:[], phi:[], S:[0.5625, 0.5625], Sb:[], A:[], Ab:[]] | t^2.249 + 2*t^2.625 + t^3.375 + t^4.497 + 2*t^4.874 + 3*t^5.25 + 6*t^5.439 + t^5.623 - 5*t^6. - (2*t^4.687)/y - 2*t^4.687*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 |
---|---|---|---|---|---|---|---|---|---|
79472 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ | 2.3991 | 2.5205 | 0.9518 | [X:[], M:[0.8514], q:[0.6156, 0.6156], qb:[], phi:[], S:[0.5743, 0.5539], Sb:[], A:[], Ab:[]] | t^2.554 + t^3.323 + t^3.384 + t^3.694 + t^5.109 + 3*t^5.355 + 3*t^5.417 + t^5.877 - 5*t^6. - t^4.662/y - t^4.723/y - t^4.662*y - t^4.723*y | detail |