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 |
---|---|---|---|---|---|---|---|---|---|
79519 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.395 | 2.5083 | 0.9548 | [X:[], M:[0.8706, 0.9027], q:[0.6023, 0.7177], qb:[], phi:[], S:[0.5647, 0.5486], Sb:[], A:[], Ab:[]] | [X:[], M:[[-4, 0], [0, -2]], q:[[-11, -6], [-1, 0]], qb:[], phi:[], S:[[2, 0], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -2 | t^2.612 + t^2.708 + t^3.34 + t^3.96 + t^5.224 + t^5.26 + t^5.308 + t^5.32 + t^5.416 + t^5.606 + t^5.952 - 2*t^6. - t^6.346 + t^6.572 + t^6.584 + t^6.632 + t^6.668 + 3*t^6.68 + t^6.728 + t^6.776 + t^6.954 + t^7.252 + 2*t^7.3 - t^7.646 - t^7.694 + t^7.835 + t^7.872 + t^7.92 + t^7.932 - t^7.992 + t^8.016 + t^8.028 + t^8.124 + t^8.218 - t^8.266 + t^8.386 + t^8.552 + t^8.564 + 3*t^8.6 - 3*t^8.612 + 3*t^8.648 + t^8.696 - 2*t^8.708 + t^8.898 + 3*t^8.946 - t^8.958 + t^8.994 - t^4.646/y - t^4.694/y - t^7.258/y - t^7.402/y - t^7.938/y - (2*t^7.986)/y - (2*t^8.034)/y - t^8.082/y + t^8.32/y - t^8.606/y - t^8.654/y + t^8.952/y - t^4.646*y - t^4.694*y - t^7.258*y - t^7.402*y - t^7.938*y - 2*t^7.986*y - 2*t^8.034*y - t^8.082*y + t^8.32*y - t^8.606*y - t^8.654*y + t^8.952*y | t^2.612/g1^4 + t^2.708/g2^2 + g1^2*g2*t^3.34 + t^3.96/(g1^12*g2^6) + t^5.224/g1^8 + t^5.26/(g1^22*g2^11) + t^5.308/(g1^20*g2^12) + t^5.32/(g1^4*g2^2) + t^5.416/g2^4 + t^5.606/(g1^12*g2^5) + (g2*t^5.952)/g1^2 - 2*t^6. - g1^10*g2^6*t^6.346 + t^6.572/(g1^16*g2^6) + g2^4*t^6.584 + g1^2*g2^3*t^6.632 + t^6.668/(g1^12*g2^8) + 3*g1^4*g2^2*t^6.68 + g1^6*g2*t^6.728 + g1^8*t^6.776 + t^6.954/(g1^20*g2^11) + t^7.252/(g1^12*g2^4) + (2*t^7.3)/(g1^10*g2^5) - g2*t^7.646 - g1^2*t^7.694 + t^7.835/g1^12 + t^7.872/(g1^26*g2^11) + t^7.92/(g1^24*g2^12) + t^7.932/(g1^8*g2^2) - g1^10*g2^7*t^7.992 + t^8.016/(g1^20*g2^14) + t^8.028/(g1^4*g2^4) + t^8.124/g2^6 + t^8.218/(g1^16*g2^5) - t^8.266/(g1^14*g2^6) + g1^22*g2^12*t^8.386 + t^8.552/(g1^22*g2^9) + (g2*t^8.564)/g1^6 + (3*t^8.6)/(g1^20*g2^10) - (3*t^8.612)/g1^4 + (3*t^8.648)/(g1^18*g2^11) + t^8.696/(g1^16*g2^12) - (2*t^8.708)/g2^2 + t^8.898/(g1^12*g2^3) + (3*t^8.946)/(g1^10*g2^4) - g1^6*g2^6*t^8.958 + t^8.994/(g1^8*g2^5) - (g2*t^4.646)/y - (g1^2*t^4.694)/y - (g2*t^7.258)/(g1^4*y) - (g1^2*t^7.402)/(g2^2*y) - (g2^3*t^7.938)/y - (2*g1^2*g2^2*t^7.986)/y - (2*g1^4*g2*t^8.034)/y - (g1^6*t^8.082)/y + t^8.32/(g1^4*g2^2*y) - t^8.606/(g1^12*g2^5*y) - t^8.654/(g1^10*g2^6*y) + (g2*t^8.952)/(g1^2*y) - g2*t^4.646*y - g1^2*t^4.694*y - (g2*t^7.258*y)/g1^4 - (g1^2*t^7.402*y)/g2^2 - g2^3*t^7.938*y - 2*g1^2*g2^2*t^7.986*y - 2*g1^4*g2*t^8.034*y - g1^6*t^8.082*y + (t^8.32*y)/(g1^4*g2^2) - (t^8.606*y)/(g1^12*g2^5) - (t^8.654*y)/(g1^10*g2^6) + (g2*t^8.952*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
79545 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}q_{1}q_{2}$ | 2.4157 | 2.5488 | 0.9478 | [X:[], M:[0.8714, 0.9028, 0.6776], q:[0.6045, 0.7178], qb:[], phi:[], S:[0.5643, 0.5486], Sb:[], A:[], Ab:[]] | t^2.033 + t^2.614 + t^2.708 + t^3.339 + t^4.066 + t^4.647 + t^4.741 + t^5.228 + t^5.273 + t^5.32 + t^5.322 + t^5.372 + t^5.417 + t^5.613 + t^5.953 - 2*t^6. - t^4.646/y - t^4.693/y - t^4.646*y - t^4.693*y | detail | |
79538 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}S_{1}S_{2}$ | 2.4052 | 2.5266 | 0.952 | [X:[], M:[0.8689, 0.9026, 0.8857], q:[0.5972, 0.7172], qb:[], phi:[], S:[0.5655, 0.5487], Sb:[], A:[], Ab:[]] | t^2.607 + t^2.657 + t^2.708 + t^3.943 + t^5.213 + t^5.229 + t^5.264 + t^5.28 + 2*t^5.314 + t^5.365 + t^5.415 + t^5.589 - 2*t^6. - t^4.646/y - t^4.697/y - t^4.646*y - t^4.697*y | detail | |
79535 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }q_{2}^{2}S_{2}$ | 2.3944 | 2.5071 | 0.955 | [X:[], M:[0.8873, 0.8873], q:[0.602, 0.7218], qb:[], phi:[], S:[0.5563, 0.5563], Sb:[], A:[], Ab:[]] | 2*t^2.662 + t^3.338 + t^3.971 + 2*t^5.281 + 3*t^5.324 + t^5.641 - t^6. - (2*t^4.669)/y - 2*t^4.669*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 |
---|---|---|---|---|---|---|---|---|---|
79491 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.4098 | 2.5396 | 0.9489 | [X:[], M:[0.8702, 0.8702], q:[0.6107, 0.6107], qb:[], phi:[], S:[0.5649, 0.5649], Sb:[], A:[], Ab:[]] | 2*t^2.611 + t^3.389 + t^3.664 + 3*t^5.221 + 6*t^5.359 - 5*t^6. - (2*t^4.695)/y - 2*t^4.695*y | detail |