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 |
---|---|---|---|---|---|---|---|---|---|
1189 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6421 | 0.7861 | 0.8168 | [M:[1.1304, 0.7391, 0.8696, 0.8696, 0.8261, 1.2174], q:[0.8044, 0.5001], qb:[0.3695, 0.7608], phi:[0.3913]] | [M:[[16], [14], [-16], [-16], [-6], [-4]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$ | ${}$ | -1 | t^2.217 + t^2.478 + 2*t^2.609 + t^3.391 + t^3.652 + t^3.783 + t^3.913 + t^4.174 + t^4.434 + t^4.565 + 2*t^4.696 + t^4.826 + 2*t^4.957 + 2*t^5.087 + 2*t^5.218 + t^5.739 + t^5.869 - t^6. + t^6.131 + 2*t^6.261 + 2*t^6.392 + 2*t^6.522 + t^6.652 + t^6.653 + 2*t^6.783 + t^6.913 + t^7.043 + 2*t^7.174 + 2*t^7.304 + 3*t^7.435 + 4*t^7.566 + 2*t^7.696 + 3*t^7.827 + t^7.956 + t^7.957 + t^8.088 - 2*t^8.217 + 2*t^8.348 + t^8.349 - 2*t^8.478 - 2*t^8.609 + 2*t^8.739 + t^8.869 + 3*t^8.87 - t^4.174/y - t^6.391/y - t^6.652/y - t^6.783/y + t^7.565/y + (2*t^7.696)/y + (2*t^7.826)/y + t^7.957/y + (2*t^8.087)/y + t^8.218/y + t^8.869/y - t^4.174*y - t^6.391*y - t^6.652*y - t^6.783*y + t^7.565*y + 2*t^7.696*y + 2*t^7.826*y + t^7.957*y + 2*t^8.087*y + t^8.218*y + t^8.869*y | g1^14*t^2.217 + t^2.478/g1^6 + (2*t^2.609)/g1^16 + g1^16*t^3.391 + t^3.652/g1^4 + t^3.783/g1^14 + t^3.913/g1^24 + t^4.174/g1^44 + g1^28*t^4.434 + g1^18*t^4.565 + 2*g1^8*t^4.696 + t^4.826/g1^2 + (2*t^4.957)/g1^12 + (2*t^5.087)/g1^22 + (2*t^5.218)/g1^32 + g1^20*t^5.739 + g1^10*t^5.869 - t^6. + t^6.131/g1^10 + (2*t^6.261)/g1^20 + (2*t^6.392)/g1^30 + (2*t^6.522)/g1^40 + g1^42*t^6.652 + t^6.653/g1^50 + (2*t^6.783)/g1^60 + g1^22*t^6.913 + g1^12*t^7.043 + 2*g1^2*t^7.174 + (2*t^7.304)/g1^8 + (3*t^7.435)/g1^18 + (4*t^7.566)/g1^28 + (2*t^7.696)/g1^38 + (3*t^7.827)/g1^48 + g1^34*t^7.956 + t^7.957/g1^58 + t^8.088/g1^68 - 2*g1^14*t^8.217 + 2*g1^4*t^8.348 + t^8.349/g1^88 - (2*t^8.478)/g1^6 - (2*t^8.609)/g1^16 + (2*t^8.739)/g1^26 + g1^56*t^8.869 + (3*t^8.87)/g1^36 - (g1^2*t^4.174)/y - (g1^16*t^6.391)/y - t^6.652/(g1^4*y) - t^6.783/(g1^14*y) + (g1^18*t^7.565)/y + (2*g1^8*t^7.696)/y + (2*t^7.826)/(g1^2*y) + t^7.957/(g1^12*y) + (2*t^8.087)/(g1^22*y) + t^8.218/(g1^32*y) + (g1^10*t^8.869)/y - g1^2*t^4.174*y - g1^16*t^6.391*y - (t^6.652*y)/g1^4 - (t^6.783*y)/g1^14 + g1^18*t^7.565*y + 2*g1^8*t^7.696*y + (2*t^7.826*y)/g1^2 + (t^7.957*y)/g1^12 + (2*t^8.087*y)/g1^22 + (t^8.218*y)/g1^32 + g1^10*t^8.869*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 |
---|---|---|---|---|---|---|---|---|
2236 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6312 | 0.7667 | 0.8233 | [M:[1.1127, 0.7236, 0.8873, 0.8873, 0.8328, 1.2218, 1.1127], q:[0.8055, 0.5255], qb:[0.3618, 0.7509], phi:[0.3891]] | t^2.171 + t^2.498 + t^2.662 + 2*t^3.338 + t^3.666 + t^3.829 + t^3.993 + t^4.321 + t^4.341 + t^4.505 + 2*t^4.669 + 2*t^4.997 + t^5.16 + t^5.509 + t^5.672 + 2*t^5.836 - t^6. - t^4.167/y - t^4.167*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
724 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], phi:[0.3909]] | t^2.21 + t^2.346 + t^2.481 + 2*t^2.617 + t^3.383 + t^3.79 + t^3.926 + t^4.198 + t^4.42 + 2*t^4.556 + 3*t^4.691 + 2*t^4.827 + 4*t^4.963 + 2*t^5.099 + 2*t^5.235 + 2*t^5.728 - t^6. - t^4.173/y - t^4.173*y | detail |