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 |
---|---|---|---|---|---|---|---|---|---|
1421 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7032 | 0.8663 | 0.8117 | [M:[0.877, 1.0738, 0.9262, 1.0246, 1.0, 0.9262], q:[0.5984, 0.5246], qb:[0.4754, 0.4508], phi:[0.4877]] | [M:[[10], [-6], [6], [-2], [0], [6]], q:[[-8], [-2]], qb:[[2], [4]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.631 + 2*t^2.779 + t^2.926 + t^3. + t^3.074 + t^3.148 + t^4.168 + t^4.242 + t^4.315 + t^4.389 + t^4.463 + 2*t^4.611 + t^4.685 + t^4.832 + t^5.054 + t^5.262 + 2*t^5.409 + 3*t^5.557 + 3*t^5.705 + t^5.779 + 2*t^5.852 + 2*t^5.926 - 2*t^6. + t^6.074 - t^6.221 + t^6.295 - t^6.369 - t^6.443 + t^6.799 + t^6.873 + 3*t^6.946 + 2*t^7.02 + 3*t^7.094 + 3*t^7.168 + 3*t^7.242 + 3*t^7.315 + 4*t^7.389 + t^7.463 + t^7.537 + 2*t^7.611 - t^7.685 + 2*t^7.758 + t^7.832 + t^7.893 - t^7.906 + t^7.98 + 2*t^8.04 + 3*t^8.188 + t^8.201 + 6*t^8.336 + t^8.409 + 5*t^8.483 + 2*t^8.557 + 2*t^8.631 + t^8.705 - 2*t^8.779 + 2*t^8.852 - 2*t^8.926 - t^4.463/y - t^7.094/y - t^7.242/y + t^7.685/y + t^7.832/y + (2*t^8.409)/y + (2*t^8.557)/y + t^8.631/y + (3*t^8.705)/y + (3*t^8.779)/y + (2*t^8.852)/y + (3*t^8.926)/y - t^4.463*y - t^7.094*y - t^7.242*y + t^7.685*y + t^7.832*y + 2*t^8.409*y + 2*t^8.557*y + t^8.631*y + 3*t^8.705*y + 3*t^8.779*y + 2*t^8.852*y + 3*t^8.926*y | g1^10*t^2.631 + 2*g1^6*t^2.779 + g1^2*t^2.926 + t^3. + t^3.074/g1^2 + t^3.148/g1^4 + g1^9*t^4.168 + g1^7*t^4.242 + g1^5*t^4.315 + g1^3*t^4.389 + g1*t^4.463 + (2*t^4.611)/g1^3 + t^4.685/g1^5 + t^4.832/g1^9 + t^5.054/g1^15 + g1^20*t^5.262 + 2*g1^16*t^5.409 + 3*g1^12*t^5.557 + 3*g1^8*t^5.705 + g1^6*t^5.779 + 2*g1^4*t^5.852 + 2*g1^2*t^5.926 - 2*t^6. + t^6.074/g1^2 - t^6.221/g1^6 + t^6.295/g1^8 - t^6.369/g1^10 - t^6.443/g1^12 + g1^19*t^6.799 + g1^17*t^6.873 + 3*g1^15*t^6.946 + 2*g1^13*t^7.02 + 3*g1^11*t^7.094 + 3*g1^9*t^7.168 + 3*g1^7*t^7.242 + 3*g1^5*t^7.315 + 4*g1^3*t^7.389 + g1*t^7.463 + t^7.537/g1 + (2*t^7.611)/g1^3 - t^7.685/g1^5 + (2*t^7.758)/g1^7 + t^7.832/g1^9 + g1^30*t^7.893 - t^7.906/g1^11 + t^7.98/g1^13 + 2*g1^26*t^8.04 + 3*g1^22*t^8.188 + t^8.201/g1^19 + 6*g1^18*t^8.336 + g1^16*t^8.409 + 5*g1^14*t^8.483 + 2*g1^12*t^8.557 + 2*g1^10*t^8.631 + g1^8*t^8.705 - 2*g1^6*t^8.779 + 2*g1^4*t^8.852 - 2*g1^2*t^8.926 - (g1*t^4.463)/y - (g1^11*t^7.094)/y - (g1^7*t^7.242)/y + t^7.685/(g1^5*y) + t^7.832/(g1^9*y) + (2*g1^16*t^8.409)/y + (2*g1^12*t^8.557)/y + (g1^10*t^8.631)/y + (3*g1^8*t^8.705)/y + (3*g1^6*t^8.779)/y + (2*g1^4*t^8.852)/y + (3*g1^2*t^8.926)/y - g1*t^4.463*y - g1^11*t^7.094*y - g1^7*t^7.242*y + (t^7.685*y)/g1^5 + (t^7.832*y)/g1^9 + 2*g1^16*t^8.409*y + 2*g1^12*t^8.557*y + g1^10*t^8.631*y + 3*g1^8*t^8.705*y + 3*g1^6*t^8.779*y + 2*g1^4*t^8.852*y + 3*g1^2*t^8.926*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 |
---|---|---|---|---|---|---|---|---|
2472 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.7056 | 0.8711 | 0.81 | [M:[0.8652, 1.0809, 0.9191, 1.027, 1.0, 0.9191, 0.973], q:[0.6079, 0.527], qb:[0.473, 0.4461], phi:[0.4865]] | t^2.596 + 2*t^2.757 + 2*t^2.919 + t^3. + t^3.162 + t^4.136 + t^4.217 + t^4.298 + t^4.379 + t^4.46 + 2*t^4.621 + t^4.702 + t^4.864 + t^5.107 + t^5.191 + 2*t^5.353 + 4*t^5.515 + 4*t^5.676 + t^5.757 + 2*t^5.838 + 3*t^5.919 - 3*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
925 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7207 | 0.8863 | 0.8132 | [M:[0.8101, 1.0276, 0.9724, 0.8653, 1.0, 0.9724], q:[0.6087, 0.5812], qb:[0.4188, 0.5536], phi:[0.4594]] | t^2.43 + t^2.596 + t^2.757 + 2*t^2.917 + t^3. + t^3.487 + t^3.891 + t^4.295 + t^4.378 + t^4.461 + t^4.7 + t^4.782 + t^4.861 + 2*t^4.865 + t^4.948 + t^5.026 + t^5.031 + t^5.187 + t^5.192 + 2*t^5.348 + t^5.352 + 2*t^5.513 + 2*t^5.674 + t^5.757 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.378/y - t^4.378*y | detail |