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 |
---|---|---|---|---|---|---|---|---|---|
46611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6052 | 0.7542 | 0.8024 | [M:[1.0006, 0.9994, 0.7674, 1.0006, 0.7686], q:[0.5765, 0.4229], qb:[0.4241, 1.0392], phi:[0.3843]] | [M:[[1, -3], [-1, 3], [-2, 2], [1, -3], [0, -4]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$ | ${}$ | -3 | t^2.302 + 2*t^2.306 + t^2.541 + 2*t^3.002 + t^3.69 + t^4.386 + t^4.39 + t^4.604 + 2*t^4.608 + 3*t^4.612 + t^4.843 + 3*t^4.847 + t^5.082 + t^5.304 + 3*t^5.308 + 2*t^5.543 + t^5.992 + t^5.996 - 3*t^6. + 2*t^6.004 + t^6.231 - t^6.457 - t^6.461 + t^6.688 + 3*t^6.692 + t^6.906 + 2*t^6.91 + 3*t^6.914 + 4*t^6.918 + t^6.927 + t^6.931 + t^7.145 + 2*t^7.149 + 3*t^7.153 - t^7.157 + t^7.381 + 2*t^7.388 + t^7.392 + t^7.606 + t^7.61 + 4*t^7.614 + t^7.623 - t^7.845 + 3*t^7.849 + t^8.077 + t^8.084 + t^8.295 + t^8.298 - 2*t^8.302 - 5*t^8.306 + 2*t^8.31 + t^8.534 + t^8.537 - 5*t^8.541 + t^8.545 - t^8.759 - 2*t^8.763 - t^8.767 + 2*t^8.773 + t^8.776 + t^8.78 + t^8.991 + 2*t^8.994 + t^8.998 - t^4.153/y - t^6.455/y - (2*t^6.459)/y + t^7.151/y - t^7.155/y + (2*t^7.608)/y + t^7.612/y + t^7.843/y + (4*t^7.847)/y + t^7.851/y + (2*t^8.304)/y + (4*t^8.308)/y + (2*t^8.543)/y - t^8.757/y - (2*t^8.761)/y - (3*t^8.765)/y + t^8.992/y + (2*t^8.996)/y - t^4.153*y - t^6.455*y - 2*t^6.459*y + t^7.151*y - t^7.155*y + 2*t^7.608*y + t^7.612*y + t^7.843*y + 4*t^7.847*y + t^7.851*y + 2*t^8.304*y + 4*t^8.308*y + 2*t^8.543*y - t^8.757*y - 2*t^8.761*y - 3*t^8.765*y + t^8.992*y + 2*t^8.996*y | (g2^2*t^2.302)/g1^2 + (2*t^2.306)/g2^4 + g2^6*t^2.541 + (2*g1*t^3.002)/g2^3 + (g2^10*t^3.69)/g1^2 + (g2^11*t^4.386)/g1 + g1*g2^5*t^4.39 + (g2^4*t^4.604)/g1^4 + (2*t^4.608)/(g1^2*g2^2) + (3*t^4.612)/g2^8 + (g2^8*t^4.843)/g1^2 + 3*g2^2*t^4.847 + g2^12*t^5.082 + t^5.304/(g1*g2) + (3*g1*t^5.308)/g2^7 + 2*g1*g2^3*t^5.543 + (g2^12*t^5.992)/g1^4 + (g2^6*t^5.996)/g1^2 - 3*t^6. + (2*g1^2*t^6.004)/g2^6 + (g2^16*t^6.231)/g1^2 - t^6.457/(g1*g2^3) - (g1*t^6.461)/g2^9 + (g2^13*t^6.688)/g1^3 + (3*g2^7*t^6.692)/g1 + (g2^6*t^6.906)/g1^6 + (2*t^6.91)/g1^4 + (3*t^6.914)/(g1^2*g2^6) + (4*t^6.918)/g2^12 + (g2^17*t^6.927)/g1 + g1*g2^11*t^6.931 + (g2^10*t^7.145)/g1^4 + (2*g2^4*t^7.149)/g1^2 + (3*t^7.153)/g2^2 - (g1^2*t^7.157)/g2^8 + (g2^20*t^7.381)/g1^4 + 2*g2^8*t^7.388 + g1^2*g2^2*t^7.392 + (g2*t^7.606)/g1^3 + t^7.61/(g1*g2^5) + (4*g1*t^7.614)/g2^11 + g2^18*t^7.623 - (g2^5*t^7.845)/g1 + (3*g1*t^7.849)/g2 + (g2^21*t^8.077)/g1^3 + g1*g2^9*t^8.084 + (g2^14*t^8.295)/g1^6 + (g2^8*t^8.298)/g1^4 - (2*g2^2*t^8.302)/g1^2 - (5*t^8.306)/g2^4 + (2*g1^2*t^8.31)/g2^10 + (g2^18*t^8.534)/g1^4 + (g2^12*t^8.537)/g1^2 - 5*g2^6*t^8.541 + g1^2*t^8.545 - t^8.759/(g1^3*g2) - (2*t^8.763)/(g1*g2^7) - (g1*t^8.767)/g2^13 + (2*g2^22*t^8.773)/g1^2 + g2^16*t^8.776 + g1^2*g2^10*t^8.78 + (g2^15*t^8.991)/g1^5 + (2*g2^9*t^8.994)/g1^3 + (g2^3*t^8.998)/g1 - t^4.153/(g2^2*y) - t^6.455/(g1^2*y) - (2*t^6.459)/(g2^6*y) + (g2*t^7.151)/(g1*y) - (g1*t^7.155)/(g2^5*y) + (2*t^7.608)/(g1^2*g2^2*y) + t^7.612/(g2^8*y) + (g2^8*t^7.843)/(g1^2*y) + (4*g2^2*t^7.847)/y + (g1^2*t^7.851)/(g2^4*y) + (2*t^8.304)/(g1*g2*y) + (4*g1*t^8.308)/(g2^7*y) + (2*g1*g2^3*t^8.543)/y - (g2^2*t^8.757)/(g1^4*y) - (2*t^8.761)/(g1^2*g2^4*y) - (3*t^8.765)/(g2^10*y) + (g2^12*t^8.992)/(g1^4*y) + (2*g2^6*t^8.996)/(g1^2*y) - (t^4.153*y)/g2^2 - (t^6.455*y)/g1^2 - (2*t^6.459*y)/g2^6 + (g2*t^7.151*y)/g1 - (g1*t^7.155*y)/g2^5 + (2*t^7.608*y)/(g1^2*g2^2) + (t^7.612*y)/g2^8 + (g2^8*t^7.843*y)/g1^2 + 4*g2^2*t^7.847*y + (g1^2*t^7.851*y)/g2^4 + (2*t^8.304*y)/(g1*g2) + (4*g1*t^8.308*y)/g2^7 + 2*g1*g2^3*t^8.543*y - (g2^2*t^8.757*y)/g1^4 - (2*t^8.761*y)/(g1^2*g2^4) - (3*t^8.765*y)/g2^10 + (g2^12*t^8.992*y)/g1^4 + (2*g2^6*t^8.996*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 |
---|---|---|---|---|---|---|---|---|
48143 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6243 | 0.7889 | 0.7913 | [M:[0.9868, 1.0132, 0.7848, 0.9868, 0.7584, 0.732], q:[0.5688, 0.4444], qb:[0.418, 1.052], phi:[0.3792]] | t^2.196 + 2*t^2.275 + t^2.354 + t^2.587 + 2*t^2.96 + t^4.392 + t^4.41 + 2*t^4.471 + t^4.489 + 4*t^4.55 + 2*t^4.63 + t^4.709 + t^4.783 + 3*t^4.862 + t^4.941 + 2*t^5.157 + t^5.174 + 3*t^5.236 + t^5.315 + 2*t^5.548 + 2*t^5.921 - 3*t^6. - t^4.138/y - t^4.138*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 |
---|---|---|---|---|---|---|---|---|---|
46178 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5873 | 0.7232 | 0.8121 | [M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. - t^4.172/y - t^4.172*y | detail |