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 |
---|---|---|---|---|---|---|---|---|---|
679 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6911 | 0.8637 | 0.8002 | [M:[0.9807, 1.1197, 0.9807, 0.6795, 0.6795], q:[0.7799, 0.4402], qb:[0.5791, 0.4402], phi:[0.4402]] | [M:[[9], [-4], [9], [-6], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.039 + t^2.641 + 2*t^2.942 + t^3.359 + 2*t^3.66 + t^3.961 + 4*t^4.077 + 2*t^4.378 + 2*t^4.68 + t^4.795 + 4*t^4.981 + t^5.282 + 2*t^5.398 + 4*t^5.699 + 3*t^5.884 - 2*t^6. + 6*t^6.116 + 2*t^6.301 + 2*t^6.417 + 4*t^6.602 + 3*t^6.718 + 2*t^6.834 + 8*t^7.019 + 3*t^7.32 + 4*t^7.436 + 8*t^7.737 + 7*t^7.923 - 4*t^8.039 + 9*t^8.154 + 2*t^8.34 + 4*t^8.455 + 4*t^8.641 + 4*t^8.757 + 4*t^8.826 + 4*t^8.872 - 8*t^8.942 - t^4.32/y - (2*t^6.359)/y + t^7.077/y - (2*t^7.263)/y + (2*t^7.378)/y + (2*t^7.68)/y + (4*t^7.981)/y + (2*t^8.282)/y - t^8.398/y + (2*t^8.583)/y + (4*t^8.699)/y + t^8.884/y - t^4.32*y - 2*t^6.359*y + t^7.077*y - 2*t^7.263*y + 2*t^7.378*y + 2*t^7.68*y + 4*t^7.981*y + 2*t^8.282*y - t^8.398*y + 2*t^8.583*y + 4*t^8.699*y + t^8.884*y | (2*t^2.039)/g1^6 + g1^4*t^2.641 + 2*g1^9*t^2.942 + t^3.359/g1^4 + 2*g1*t^3.66 + g1^6*t^3.961 + (4*t^4.077)/g1^12 + (2*t^4.378)/g1^7 + (2*t^4.68)/g1^2 + t^4.795/g1^20 + 4*g1^3*t^4.981 + g1^8*t^5.282 + (2*t^5.398)/g1^10 + (4*t^5.699)/g1^5 + 3*g1^18*t^5.884 - 2*t^6. + (6*t^6.116)/g1^18 + 2*g1^5*t^6.301 + (2*t^6.417)/g1^13 + 4*g1^10*t^6.602 + (3*t^6.718)/g1^8 + (2*t^6.834)/g1^26 + (8*t^7.019)/g1^3 + 3*g1^2*t^7.32 + (4*t^7.436)/g1^16 + (8*t^7.737)/g1^11 + 7*g1^12*t^7.923 - (4*t^8.039)/g1^6 + (9*t^8.154)/g1^24 + (2*t^8.34)/g1 + (4*t^8.455)/g1^19 + 4*g1^4*t^8.641 + (4*t^8.757)/g1^14 + 4*g1^27*t^8.826 + (4*t^8.872)/g1^32 - 8*g1^9*t^8.942 - (g1^2*t^4.32)/y - (2*t^6.359)/(g1^4*y) + t^7.077/(g1^12*y) - (2*g1^11*t^7.263)/y + (2*t^7.378)/(g1^7*y) + (2*t^7.68)/(g1^2*y) + (4*g1^3*t^7.981)/y + (2*g1^8*t^8.282)/y - t^8.398/(g1^10*y) + (2*g1^13*t^8.583)/y + (4*t^8.699)/(g1^5*y) + (g1^18*t^8.884)/y - g1^2*t^4.32*y - (2*t^6.359*y)/g1^4 + (t^7.077*y)/g1^12 - 2*g1^11*t^7.263*y + (2*t^7.378*y)/g1^7 + (2*t^7.68*y)/g1^2 + 4*g1^3*t^7.981*y + 2*g1^8*t^8.282*y - (t^8.398*y)/g1^10 + 2*g1^13*t^8.583*y + (4*t^8.699*y)/g1^5 + g1^18*t^8.884*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 |
---|---|---|---|---|---|---|---|---|
1090 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7119 | 0.9046 | 0.787 | [M:[0.9822, 1.119, 0.9822, 0.6785, 0.6785, 0.6785], q:[0.7798, 0.4405], qb:[0.5773, 0.4405], phi:[0.4405]] | 3*t^2.036 + t^2.643 + 2*t^2.947 + t^3.357 + 2*t^3.661 + 7*t^4.071 + 2*t^4.375 + 3*t^4.679 + t^4.785 + 6*t^4.982 + t^5.286 + 3*t^5.393 + 6*t^5.696 + 3*t^5.893 - 4*t^6. - t^4.321/y - t^4.321*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 |
---|---|---|---|---|---|---|---|---|---|
415 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail |