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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4644 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6574 | 0.8173 | 0.8044 | [X:[1.3498], M:[1.1166, 0.6502, 0.8587, 0.9081, 1.0919, 0.9081, 1.0919, 0.6749], q:[0.5583, 0.3251], qb:[0.583, 0.7668], phi:[0.4417]] | [X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7], [-7], [3]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | -1 | t^2.025 + t^2.576 + t^2.65 + t^2.724 + 2*t^3.276 + t^3.35 + t^3.975 + 3*t^4.049 + 2*t^4.601 + t^4.675 + 2*t^4.749 + t^4.823 + t^5.152 + 4*t^5.3 + 2*t^5.375 + 2*t^5.852 + 3*t^5.926 - t^6. + 3*t^6.074 + 2*t^6.551 + 4*t^6.625 + t^6.7 + 2*t^6.774 + t^6.848 + 2*t^7.177 + t^7.251 + 5*t^7.325 + 4*t^7.399 + t^7.473 + t^7.548 + t^7.728 + 4*t^7.876 + 3*t^7.951 - t^8.025 + 6*t^8.099 + 2*t^8.428 + 2*t^8.502 + t^8.576 + 3*t^8.65 - 3*t^8.724 + 2*t^8.799 + 3*t^8.873 - t^4.325/y - t^6.35/y - t^6.901/y + t^7.601/y + t^7.675/y + (2*t^7.749)/y + t^8.226/y + (4*t^8.3)/y + t^8.375/y + (2*t^8.852)/y + (2*t^8.926)/y - t^4.325*y - t^6.35*y - t^6.901*y + t^7.601*y + t^7.675*y + 2*t^7.749*y + t^8.226*y + 4*t^8.3*y + t^8.375*y + 2*t^8.852*y + 2*t^8.926*y | g1^3*t^2.025 + t^2.576/g1^11 + t^2.65/g1^2 + g1^7*t^2.724 + (2*t^3.276)/g1^7 + g1^2*t^3.35 + t^3.975/g1^3 + 3*g1^6*t^4.049 + (2*t^4.601)/g1^8 + g1*t^4.675 + 2*g1^10*t^4.749 + g1^19*t^4.823 + t^5.152/g1^22 + (4*t^5.3)/g1^4 + 2*g1^5*t^5.375 + (2*t^5.852)/g1^18 + (3*t^5.926)/g1^9 - t^6. + 3*g1^9*t^6.074 + (2*t^6.551)/g1^14 + (4*t^6.625)/g1^5 + g1^4*t^6.7 + 2*g1^13*t^6.774 + g1^22*t^6.848 + (2*t^7.177)/g1^19 + t^7.251/g1^10 + (5*t^7.325)/g1 + 4*g1^8*t^7.399 + g1^17*t^7.473 + g1^26*t^7.548 + t^7.728/g1^33 + (4*t^7.876)/g1^15 + (3*t^7.951)/g1^6 - g1^3*t^8.025 + 6*g1^12*t^8.099 + (2*t^8.428)/g1^29 + (2*t^8.502)/g1^20 + t^8.576/g1^11 + (3*t^8.65)/g1^2 - 3*g1^7*t^8.724 + 2*g1^16*t^8.799 + 3*g1^25*t^8.873 - t^4.325/(g1*y) - (g1^2*t^6.35)/y - t^6.901/(g1^12*y) + t^7.601/(g1^8*y) + (g1*t^7.675)/y + (2*g1^10*t^7.749)/y + t^8.226/(g1^13*y) + (4*t^8.3)/(g1^4*y) + (g1^5*t^8.375)/y + (2*t^8.852)/(g1^18*y) + (2*t^8.926)/(g1^9*y) - (t^4.325*y)/g1 - g1^2*t^6.35*y - (t^6.901*y)/g1^12 + (t^7.601*y)/g1^8 + g1*t^7.675*y + 2*g1^10*t^7.749*y + (t^8.226*y)/g1^13 + (4*t^8.3*y)/g1^4 + g1^5*t^8.375*y + (2*t^8.852*y)/g1^18 + (2*t^8.926*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
6203 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{9}$ | 0.668 | 0.8353 | 0.7997 | [X:[1.3545], M:[1.1182, 0.6455, 0.8501, 0.9136, 1.0864, 0.9136, 1.0864, 0.6772, 0.8818], q:[0.5591, 0.3228], qb:[0.5908, 0.7637], phi:[0.4409]] | t^2.032 + t^2.55 + 2*t^2.646 + t^2.741 + 2*t^3.259 + t^3.968 + 3*t^4.063 + 2*t^4.582 + 2*t^4.677 + 2*t^4.772 + t^4.868 + t^5.101 + t^5.196 + 6*t^5.291 + 2*t^5.386 + 2*t^5.81 + 4*t^5.905 - 2*t^6. - t^4.323/y - t^4.323*y | detail | |
6204 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6783 | 0.8585 | 0.7901 | [X:[1.3494], M:[1.1165, 0.6506, 0.8594, 0.9077, 1.0923, 0.9077, 1.0923, 0.6747, 0.6747], q:[0.5582, 0.3253], qb:[0.5824, 0.767], phi:[0.4418]] | 2*t^2.024 + t^2.578 + t^2.651 + t^2.723 + 2*t^3.277 + t^3.349 + 5*t^4.048 + 3*t^4.602 + 2*t^4.675 + 3*t^4.747 + t^4.82 + t^5.156 + 6*t^5.301 + 3*t^5.374 + 2*t^5.855 + 3*t^5.928 - 2*t^6. - t^4.325/y - t^4.325*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 |
---|---|---|---|---|---|---|---|---|---|
2564 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ | 0.6366 | 0.7762 | 0.8202 | [X:[1.3502], M:[1.1167, 0.6498, 0.8579, 0.9086, 1.0914, 0.9086, 1.0914], q:[0.5584, 0.3249], qb:[0.5837, 0.7665], phi:[0.4416]] | t^2.574 + t^2.65 + t^2.726 + 2*t^3.274 + t^3.35 + 2*t^3.975 + 2*t^4.051 + t^4.599 + t^4.751 + t^4.827 + t^5.148 + 2*t^5.3 + t^5.376 + 2*t^5.848 + 3*t^5.924 - 2*t^6. - t^4.325/y - t^4.325*y | detail |