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 |
---|---|---|---|---|---|---|---|---|---|
889 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.708 | 0.8725 | 0.8115 | [M:[1.0, 0.9246, 1.0754, 0.8491, 0.9246], q:[0.4246, 0.5754], qb:[0.5, 0.5754], phi:[0.4811]] | [M:[[0], [-4], [4], [-8], [-4]], q:[[-4], [4]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.547 + 2*t^2.774 + t^2.887 + 2*t^3. + t^3.226 + t^3.991 + t^4.217 + 3*t^4.443 + 2*t^4.67 + 3*t^4.896 + t^5.095 + 2*t^5.321 + t^5.434 + 3*t^5.547 + 2*t^5.66 + 3*t^5.774 + 2*t^5.887 - t^6. + t^6.113 - 2*t^6.226 - t^6.453 + t^6.538 + 3*t^6.764 + t^6.878 + 5*t^6.991 + 6*t^7.217 + 2*t^7.33 + 6*t^7.443 - t^7.557 + t^7.642 + 5*t^7.67 + t^7.783 + 2*t^7.868 + 3*t^7.896 + 2*t^7.981 - 3*t^8.009 + 3*t^8.095 + t^8.122 + 3*t^8.208 + 3*t^8.321 + 6*t^8.434 + 6*t^8.66 - 6*t^8.774 + 5*t^8.887 - t^4.443/y - t^6.991/y - t^7.217/y - t^7.33/y + t^7.557/y + t^7.67/y + t^7.896/y + (2*t^8.321)/y + t^8.434/y + (3*t^8.547)/y + (2*t^8.66)/y + (5*t^8.774)/y + (2*t^8.887)/y - t^4.443*y - t^6.991*y - t^7.217*y - t^7.33*y + t^7.557*y + t^7.67*y + t^7.896*y + 2*t^8.321*y + t^8.434*y + 3*t^8.547*y + 2*t^8.66*y + 5*t^8.774*y + 2*t^8.887*y | t^2.547/g1^8 + (2*t^2.774)/g1^4 + t^2.887/g1^2 + 2*t^3. + g1^4*t^3.226 + t^3.991/g1^9 + t^4.217/g1^5 + (3*t^4.443)/g1 + 2*g1^3*t^4.67 + 3*g1^7*t^4.896 + t^5.095/g1^16 + (2*t^5.321)/g1^12 + t^5.434/g1^10 + (3*t^5.547)/g1^8 + (2*t^5.66)/g1^6 + (3*t^5.774)/g1^4 + (2*t^5.887)/g1^2 - t^6. + g1^2*t^6.113 - 2*g1^4*t^6.226 - g1^8*t^6.453 + t^6.538/g1^17 + (3*t^6.764)/g1^13 + t^6.878/g1^11 + (5*t^6.991)/g1^9 + (6*t^7.217)/g1^5 + (2*t^7.33)/g1^3 + (6*t^7.443)/g1 - g1*t^7.557 + t^7.642/g1^24 + 5*g1^3*t^7.67 + g1^5*t^7.783 + (2*t^7.868)/g1^20 + 3*g1^7*t^7.896 + (2*t^7.981)/g1^18 - 3*g1^9*t^8.009 + (3*t^8.095)/g1^16 + g1^11*t^8.122 + (3*t^8.208)/g1^14 + (3*t^8.321)/g1^12 + (6*t^8.434)/g1^10 + (6*t^8.66)/g1^6 - (6*t^8.774)/g1^4 + (5*t^8.887)/g1^2 - t^4.443/(g1*y) - t^6.991/(g1^9*y) - t^7.217/(g1^5*y) - t^7.33/(g1^3*y) + (g1*t^7.557)/y + (g1^3*t^7.67)/y + (g1^7*t^7.896)/y + (2*t^8.321)/(g1^12*y) + t^8.434/(g1^10*y) + (3*t^8.547)/(g1^8*y) + (2*t^8.66)/(g1^6*y) + (5*t^8.774)/(g1^4*y) + (2*t^8.887)/(g1^2*y) - (t^4.443*y)/g1 - (t^6.991*y)/g1^9 - (t^7.217*y)/g1^5 - (t^7.33*y)/g1^3 + g1*t^7.557*y + g1^3*t^7.67*y + g1^7*t^7.896*y + (2*t^8.321*y)/g1^12 + (t^8.434*y)/g1^10 + (3*t^8.547*y)/g1^8 + (2*t^8.66*y)/g1^6 + (5*t^8.774*y)/g1^4 + (2*t^8.887*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 |
---|---|---|---|---|---|---|---|---|
1376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7288 | 0.914 | 0.7974 | [M:[1.0, 0.925, 1.075, 0.85, 0.925, 0.6688], q:[0.425, 0.575], qb:[0.5, 0.575], phi:[0.4812]] | t^2.006 + t^2.55 + 2*t^2.775 + t^2.887 + 2*t^3. + t^3.225 + t^4.013 + t^4.219 + 3*t^4.444 + t^4.556 + 2*t^4.669 + 2*t^4.781 + 4*t^4.894 + 2*t^5.006 + t^5.1 + t^5.231 + 2*t^5.325 + t^5.437 + 3*t^5.55 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. - t^4.444/y - t^4.444*y | detail | |
2058 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7155 | 0.8872 | 0.8065 | [M:[1.0, 0.9105, 1.0895, 0.821, 0.9105, 0.9105], q:[0.4105, 0.5895], qb:[0.5, 0.5895], phi:[0.4776]] | t^2.463 + 3*t^2.732 + t^2.866 + 2*t^3. + t^3.896 + t^4.164 + 3*t^4.433 + 2*t^4.701 + t^4.926 + 3*t^4.97 + 3*t^5.195 + t^5.329 + 6*t^5.463 + 3*t^5.597 + 4*t^5.732 + 2*t^5.866 - 3*t^6. - t^4.433/y - t^4.433*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 |
---|---|---|---|---|---|---|---|---|---|
574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail |