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 |
---|---|---|---|---|---|---|---|---|---|
56123 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.695 | 0.8522 | 0.8155 | [M:[0.9365, 1.0, 1.0423, 0.9788, 0.9577, 1.0212, 1.0212], q:[0.5423, 0.5212], qb:[0.4577, 0.5], phi:[0.4947]] | [M:[[12], [0], [-8], [4], [8], [-4], [-4]], q:[[-8], [-4]], qb:[[8], [0]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.809 + t^2.873 + t^2.968 + t^3. + 2*t^3.064 + t^3.127 + t^4.23 + t^4.357 + t^4.421 + 2*t^4.484 + t^4.548 + 2*t^4.611 + t^4.675 + t^4.738 + t^5.619 + t^5.682 + t^5.778 + t^5.841 + t^5.873 + 2*t^5.936 + t^5.968 - 2*t^6. + 2*t^6.032 - t^6.064 + t^6.095 + 2*t^6.127 + t^6.191 + t^7.04 + t^7.103 + t^7.167 + t^7.198 + 2*t^7.23 - t^7.262 + 3*t^7.294 + t^7.325 + 2*t^7.357 + 2*t^7.421 + t^7.452 + 3*t^7.484 - t^7.516 + 3*t^7.548 + t^7.579 + 3*t^7.611 - t^7.643 + 3*t^7.675 + 3*t^7.738 - t^7.77 + 2*t^7.802 + t^7.865 + t^8.428 + t^8.46 + t^8.492 + 2*t^8.587 + 2*t^8.651 + 2*t^8.714 + t^8.746 + t^8.778 - 2*t^8.809 + 4*t^8.841 - 5*t^8.873 + 4*t^8.905 - 2*t^8.936 + 2*t^8.968 - t^4.484/y - t^7.294/y + t^7.421/y - t^7.452/y + t^7.516/y - t^7.548/y + t^7.675/y + t^8.682/y + t^8.778/y + t^8.809/y + t^8.841/y + (3*t^8.873)/y + (3*t^8.936)/y + t^8.968/y - t^4.484*y - t^7.294*y + t^7.421*y - t^7.452*y + t^7.516*y - t^7.548*y + t^7.675*y + t^8.682*y + t^8.778*y + t^8.809*y + t^8.841*y + 3*t^8.873*y + 3*t^8.936*y + t^8.968*y | g1^12*t^2.809 + g1^8*t^2.873 + g1^2*t^2.968 + t^3. + (2*t^3.064)/g1^4 + t^3.127/g1^8 + g1^17*t^4.23 + g1^9*t^4.357 + g1^5*t^4.421 + 2*g1*t^4.484 + t^4.548/g1^3 + (2*t^4.611)/g1^7 + t^4.675/g1^11 + t^4.738/g1^15 + g1^24*t^5.619 + g1^20*t^5.682 + g1^14*t^5.778 + g1^10*t^5.841 + g1^8*t^5.873 + 2*g1^4*t^5.936 + g1^2*t^5.968 - 2*t^6. + (2*t^6.032)/g1^2 - t^6.064/g1^4 + t^6.095/g1^6 + (2*t^6.127)/g1^8 + t^6.191/g1^12 + g1^29*t^7.04 + g1^25*t^7.103 + g1^21*t^7.167 + g1^19*t^7.198 + 2*g1^17*t^7.23 - g1^15*t^7.262 + 3*g1^13*t^7.294 + g1^11*t^7.325 + 2*g1^9*t^7.357 + 2*g1^5*t^7.421 + g1^3*t^7.452 + 3*g1*t^7.484 - t^7.516/g1 + (3*t^7.548)/g1^3 + t^7.579/g1^5 + (3*t^7.611)/g1^7 - t^7.643/g1^9 + (3*t^7.675)/g1^11 + (3*t^7.738)/g1^15 - t^7.77/g1^17 + (2*t^7.802)/g1^19 + t^7.865/g1^23 + g1^36*t^8.428 + g1^34*t^8.46 + g1^32*t^8.492 + 2*g1^26*t^8.587 + 2*g1^22*t^8.651 + 2*g1^18*t^8.714 + g1^16*t^8.746 + g1^14*t^8.778 - 2*g1^12*t^8.809 + 4*g1^10*t^8.841 - 5*g1^8*t^8.873 + 4*g1^6*t^8.905 - 2*g1^4*t^8.936 + 2*g1^2*t^8.968 - (g1*t^4.484)/y - (g1^13*t^7.294)/y + (g1^5*t^7.421)/y - (g1^3*t^7.452)/y + t^7.516/(g1*y) - t^7.548/(g1^3*y) + t^7.675/(g1^11*y) + (g1^20*t^8.682)/y + (g1^14*t^8.778)/y + (g1^12*t^8.809)/y + (g1^10*t^8.841)/y + (3*g1^8*t^8.873)/y + (3*g1^4*t^8.936)/y + (g1^2*t^8.968)/y - g1*t^4.484*y - g1^13*t^7.294*y + g1^5*t^7.421*y - g1^3*t^7.452*y + (t^7.516*y)/g1 - (t^7.548*y)/g1^3 + (t^7.675*y)/g1^11 + g1^20*t^8.682*y + g1^14*t^8.778*y + g1^12*t^8.809*y + g1^10*t^8.841*y + 3*g1^8*t^8.873*y + 3*g1^4*t^8.936*y + g1^2*t^8.968*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 |
---|---|---|---|---|---|---|---|---|
58318 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.694 | 0.8506 | 0.816 | [M:[0.9452, 1.0, 1.0365, 0.9817, 0.9635, 1.0183, 1.0183, 1.0091], q:[0.5365, 0.5183], qb:[0.4635, 0.5], phi:[0.4954]] | t^2.836 + t^2.89 + t^3. + t^3.027 + 2*t^3.055 + t^3.11 + t^4.267 + t^4.377 + t^4.431 + 2*t^4.486 + t^4.541 + 2*t^4.596 + t^4.651 + t^4.706 + t^5.671 + t^5.726 + t^5.863 + t^5.89 + t^5.918 + t^5.945 - 2*t^6. - t^4.486/y - t^4.486*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 |
---|---|---|---|---|---|---|---|---|---|
50869 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ | 0.6972 | 0.8564 | 0.8141 | [M:[0.9194, 1.0, 1.0538, 0.9731, 0.9462, 1.0269], q:[0.5538, 0.5269], qb:[0.4462, 0.5], phi:[0.4933]] | t^2.758 + t^2.839 + t^2.919 + t^2.96 + t^3. + t^3.081 + t^3.161 + t^4.157 + t^4.319 + t^4.399 + 2*t^4.48 + t^4.56 + 2*t^4.641 + t^4.722 + t^4.802 + t^5.516 + t^5.597 + t^5.677 + t^5.718 + t^5.758 + t^5.798 + t^5.839 + t^5.879 + 2*t^5.919 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail |