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 |
---|---|---|---|---|---|---|---|---|---|
79599 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{2}M_{3}$ | 2.3166 | 2.4859 | 0.9319 | [X:[], M:[0.6834, 1.0251, 0.9749], q:[0.4874, 0.4874], qb:[], phi:[], S:[0.6583, 0.5126], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 4], [0, 6], [0, -6]], q:[[-1, -6], [1, 0]], qb:[], phi:[], S:[[0, -2], [0, 3]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }S_{1}S_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$ | ${}q_{1}q_{2}S_{2}^{2}$ | -3 | t^2.05 + t^2.925 + t^3.075 + t^3.513 + t^4.1 + 3*t^4.462 + 3*t^4.9 + t^4.975 + t^5.126 + t^5.849 - 3*t^6. + 3*t^6.151 + 4*t^6.437 + 3*t^6.513 + 2*t^6.588 + t^6.874 + 4*t^7.025 + t^7.176 + t^7.462 + 2*t^7.538 + 3*t^7.824 + 2*t^7.9 + 9*t^7.975 - 3*t^8.05 + 3*t^8.201 + 10*t^8.412 + 3*t^8.563 + t^8.774 + 3*t^8.849 - t^8.925 - t^4.538/y - t^4.975/y - t^6.588/y - (2*t^7.613)/y - t^7.9/y + t^7.975/y - (3*t^8.05)/y + t^8.126/y - (2*t^8.487)/y + t^8.563/y - t^8.638/y - t^8.925/y - t^4.538*y - t^4.975*y - t^6.588*y - 2*t^7.613*y - t^7.9*y + t^7.975*y - 3*t^8.05*y + t^8.126*y - 2*t^8.487*y + t^8.563*y - t^8.638*y - t^8.925*y | g2^4*t^2.05 + t^2.925/g2^6 + g2^6*t^3.075 + g2*t^3.513 + g2^8*t^4.1 + t^4.462/(g1^2*g2^9) + t^4.462/g2^3 + g1^2*g2^3*t^4.462 + t^4.9/(g1^2*g2^14) + t^4.9/g2^8 + (g1^2*t^4.9)/g2^2 + t^4.975/g2^2 + g2^10*t^5.126 + t^5.849/g2^12 - t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. + 3*g2^12*t^6.151 + t^6.437/(g1^2*g2^11) + (2*t^6.437)/g2^5 + g1^2*g2*t^6.437 + t^6.513/(g1^2*g2^5) + g2*t^6.513 + g1^2*g2^7*t^6.513 + 2*g2^7*t^6.588 + t^6.874/g2^10 + 4*g2^2*t^7.025 + g2^14*t^7.176 + t^7.462/g2^3 + t^7.538/(g1^2*g2^3) + g1^2*g2^9*t^7.538 + t^7.824/(g1^2*g2^20) + t^7.824/g2^14 + (g1^2*t^7.824)/g2^8 + (2*t^7.9)/g2^8 + (3*t^7.975)/(g1^2*g2^8) + (3*t^7.975)/g2^2 + 3*g1^2*g2^4*t^7.975 - t^8.05/(g1^2*g2^2) - g2^4*t^8.05 - g1^2*g2^10*t^8.05 + 3*g2^16*t^8.201 + (3*t^8.412)/(g1^2*g2^13) + (4*t^8.412)/g2^7 + (3*g1^2*t^8.412)/g2 + t^8.563/(g1^2*g2) + g2^5*t^8.563 + g1^2*g2^11*t^8.563 + t^8.774/g2^18 + t^8.849/(g1^2*g2^18) + t^8.849/g2^12 + (g1^2*t^8.849)/g2^6 - g1^2*t^8.925 + t^8.925/(g1^4*g2^18) - t^8.925/(g1^2*g2^12) - t^8.925/g2^6 + g1^4*g2^6*t^8.925 - (g2^3*t^4.538)/y - t^4.975/(g2^2*y) - (g2^7*t^6.588)/y - (2*g2^9*t^7.613)/y - t^7.9/(g2^8*y) + t^7.975/(g2^2*y) - (3*g2^4*t^8.05)/y + (g2^10*t^8.126)/y - (2*t^8.487)/(g2*y) + (g2^5*t^8.563)/y - (g2^11*t^8.638)/y - t^8.925/(g2^6*y) - g2^3*t^4.538*y - (t^4.975*y)/g2^2 - g2^7*t^6.588*y - 2*g2^9*t^7.613*y - (t^7.9*y)/g2^8 + (t^7.975*y)/g2^2 - 3*g2^4*t^8.05*y + g2^10*t^8.126*y - (2*t^8.487*y)/g2 + g2^5*t^8.563*y - g2^11*t^8.638*y - (t^8.925*y)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
79672 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{4}$ | 2.3198 | 2.494 | 0.9302 | [X:[], M:[0.6966, 1.0449, 0.9551, 0.9551], q:[0.4776, 0.4776], qb:[], phi:[], S:[0.6517, 0.5224], Sb:[], A:[], Ab:[]] | t^2.09 + 2*t^2.865 + t^3.522 + t^4.179 + 3*t^4.433 + 3*t^4.821 + 2*t^4.955 + 3*t^5.731 - 4*t^6. - t^4.567/y - t^4.955/y - t^4.567*y - t^4.955*y | detail | |
79667 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{4}$ | 2.3152 | 2.482 | 0.9328 | [X:[], M:[0.67, 1.005, 0.995, 1.005], q:[0.4975, 0.4975], qb:[], phi:[], S:[0.665, 0.5025], Sb:[], A:[], Ab:[]] | t^2.01 + 2*t^3.015 + t^3.503 + t^4.02 + 3*t^4.492 + 3*t^4.98 + 2*t^5.025 - 4*t^6. - t^4.508/y - t^4.995/y - t^4.508*y - t^4.995*y | detail | |
79675 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}S_{1}S_{2}$ | 2.3312 | 2.5114 | 0.9282 | [X:[], M:[0.685, 1.0276, 0.9724, 0.8287], q:[0.4862, 0.4862], qb:[], phi:[], S:[0.6575, 0.5138], Sb:[], A:[], Ab:[]] | t^2.055 + t^2.486 + t^2.917 + t^3.083 + t^4.11 + 3*t^4.459 + t^4.541 + 3*t^4.89 + 2*t^4.972 + t^5.138 + t^5.404 + t^5.835 - 3*t^6. - t^4.541/y - t^4.972/y - t^4.541*y - t^4.972*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 |
---|---|---|---|---|---|---|---|---|---|
79512 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ | 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 |