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 |
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6473 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$ | 0.6246 | 0.8106 | 0.7706 | [M:[0.9754, 1.0, 1.2285, 0.7469, 1.2531, 0.7715, 0.7346, 0.7592, 1.0246], q:[0.5246, 0.5], qb:[0.2469, 0.7531], phi:[0.4939]] | [M:[[-8], [0], [-7], [-1], [1], [7], [-5], [3], [8]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{9}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}M_{9}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.204 + t^2.241 + t^2.278 + t^2.315 + 2*t^2.963 + t^3. + t^3.074 + t^3.759 + t^3.833 + t^4.408 + t^4.445 + 3*t^4.482 + 2*t^4.518 + 3*t^4.555 + t^4.592 + 2*t^4.629 + t^5.167 + 3*t^5.204 + 2*t^5.241 + 4*t^5.278 + 2*t^5.315 + t^5.351 + t^5.388 + 2*t^5.926 + 2*t^5.963 - 2*t^6. + 3*t^6.037 + t^6.074 + t^6.111 + 2*t^6.147 + t^6.612 + 2*t^6.685 + 3*t^6.722 + 3*t^6.759 + 4*t^6.796 + 5*t^6.833 + 3*t^6.87 + 3*t^6.907 + 2*t^6.944 + t^7.371 + t^7.408 + 4*t^7.445 + 3*t^7.482 + 5*t^7.518 + 4*t^7.555 + 6*t^7.592 + 4*t^7.629 + t^7.666 + 2*t^7.703 + 3*t^8.167 - t^8.204 + 2*t^8.241 - t^8.278 + 2*t^8.351 + 4*t^8.388 + 2*t^8.425 + 3*t^8.462 + t^8.816 + t^8.853 + 4*t^8.889 + 2*t^8.926 - 2*t^8.963 - t^4.482/y - t^6.685/y - t^6.759/y + t^7.482/y + (3*t^7.518)/y + t^7.555/y + t^7.592/y + (2*t^8.167)/y + (4*t^8.204)/y + (3*t^8.241)/y + (5*t^8.278)/y + (2*t^8.315)/y + t^8.351/y + t^8.388/y - t^8.889/y + t^8.926/y + (2*t^8.963)/y - t^4.482*y - t^6.685*y - t^6.759*y + t^7.482*y + 3*t^7.518*y + t^7.555*y + t^7.592*y + 2*t^8.167*y + 4*t^8.204*y + 3*t^8.241*y + 5*t^8.278*y + 2*t^8.315*y + t^8.351*y + t^8.388*y - t^8.889*y + t^8.926*y + 2*t^8.963*y | t^2.204/g1^5 + t^2.241/g1 + g1^3*t^2.278 + g1^7*t^2.315 + (2*t^2.963)/g1^4 + t^3. + g1^8*t^3.074 + g1*t^3.759 + g1^9*t^3.833 + t^4.408/g1^10 + t^4.445/g1^6 + (3*t^4.482)/g1^2 + 2*g1^2*t^4.518 + 3*g1^6*t^4.555 + g1^10*t^4.592 + 2*g1^14*t^4.629 + t^5.167/g1^9 + (3*t^5.204)/g1^5 + (2*t^5.241)/g1 + 4*g1^3*t^5.278 + 2*g1^7*t^5.315 + g1^11*t^5.351 + g1^15*t^5.388 + (2*t^5.926)/g1^8 + (2*t^5.963)/g1^4 - 2*t^6. + 3*g1^4*t^6.037 + g1^8*t^6.074 + g1^12*t^6.111 + 2*g1^16*t^6.147 + t^6.612/g1^15 + (2*t^6.685)/g1^7 + (3*t^6.722)/g1^3 + 3*g1*t^6.759 + 4*g1^5*t^6.796 + 5*g1^9*t^6.833 + 3*g1^13*t^6.87 + 3*g1^17*t^6.907 + 2*g1^21*t^6.944 + t^7.371/g1^14 + t^7.408/g1^10 + (4*t^7.445)/g1^6 + (3*t^7.482)/g1^2 + 5*g1^2*t^7.518 + 4*g1^6*t^7.555 + 6*g1^10*t^7.592 + 4*g1^14*t^7.629 + g1^18*t^7.666 + 2*g1^22*t^7.703 + (3*t^8.167)/g1^9 - t^8.204/g1^5 + (2*t^8.241)/g1 - g1^3*t^8.278 + 2*g1^11*t^8.351 + 4*g1^15*t^8.388 + 2*g1^19*t^8.425 + 3*g1^23*t^8.462 + t^8.816/g1^20 + t^8.853/g1^16 + (4*t^8.889)/g1^12 + (2*t^8.926)/g1^8 - (2*t^8.963)/g1^4 - t^4.482/(g1^2*y) - t^6.685/(g1^7*y) - (g1*t^6.759)/y + t^7.482/(g1^2*y) + (3*g1^2*t^7.518)/y + (g1^6*t^7.555)/y + (g1^10*t^7.592)/y + (2*t^8.167)/(g1^9*y) + (4*t^8.204)/(g1^5*y) + (3*t^8.241)/(g1*y) + (5*g1^3*t^8.278)/y + (2*g1^7*t^8.315)/y + (g1^11*t^8.351)/y + (g1^15*t^8.388)/y - t^8.889/(g1^12*y) + t^8.926/(g1^8*y) + (2*t^8.963)/(g1^4*y) - (t^4.482*y)/g1^2 - (t^6.685*y)/g1^7 - g1*t^6.759*y + (t^7.482*y)/g1^2 + 3*g1^2*t^7.518*y + g1^6*t^7.555*y + g1^10*t^7.592*y + (2*t^8.167*y)/g1^9 + (4*t^8.204*y)/g1^5 + (3*t^8.241*y)/g1 + 5*g1^3*t^8.278*y + 2*g1^7*t^8.315*y + g1^11*t^8.351*y + g1^15*t^8.388*y - (t^8.889*y)/g1^12 + (t^8.926*y)/g1^8 + (2*t^8.963*y)/g1^4 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.9302, 1.0, 1.1889, 0.7413, 1.2587, 0.8111, 0.7064, 0.7762], q:[0.5698, 0.5], qb:[0.2413, 0.7587], phi:[0.4826]] | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. - t^4.448/y - t^4.448*y | detail |