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 |
---|---|---|---|---|---|---|---|---|---|
46870 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6298 | 0.8198 | 0.7682 | [M:[0.7193, 0.6784, 1.0, 1.0409, 0.9182], q:[0.7602, 0.5205], qb:[0.5614, 0.2398], phi:[0.4795]] | [M:[[3], [7], [0], [-4], [8]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.035 + t^2.158 + t^2.281 + t^2.403 + t^2.755 + t^2.877 + t^3. + t^3.123 + t^3.719 + t^3.842 + t^4.071 + t^4.193 + 2*t^4.316 + 2*t^4.439 + 3*t^4.561 + 2*t^4.684 + t^4.79 + 2*t^4.807 + 2*t^4.913 + 2*t^5.035 + 3*t^5.158 + 3*t^5.281 + 2*t^5.403 + t^5.509 + t^5.526 + t^5.632 + 3*t^5.755 + 2*t^5.877 + t^6.106 + t^6.123 + t^6.228 + t^6.245 + 2*t^6.351 + 3*t^6.474 + 4*t^6.597 + 4*t^6.719 + t^6.825 + 4*t^6.842 + 2*t^6.948 + 3*t^6.965 + 3*t^7.071 + 2*t^7.087 + 4*t^7.193 + 2*t^7.21 + 5*t^7.316 + 5*t^7.439 + t^7.544 + 4*t^7.561 + 2*t^7.667 + 4*t^7.684 + 4*t^7.79 + 2*t^7.807 + 4*t^7.913 + t^7.929 + 2*t^8.035 + t^8.141 + t^8.158 + 2*t^8.264 + 3*t^8.386 - t^8.403 + 5*t^8.509 + 7*t^8.632 + t^8.649 + 3*t^8.755 + t^8.86 + 3*t^8.877 + 2*t^8.983 - t^4.439/y - t^6.474/y - t^6.597/y + t^7.316/y + (2*t^7.439)/y + t^7.561/y + (2*t^7.684)/y + t^7.79/y + (2*t^7.913)/y + (3*t^8.035)/y + (4*t^8.158)/y + (4*t^8.281)/y + (3*t^8.403)/y - t^8.509/y + t^8.526/y + t^8.755/y + (4*t^8.877)/y - t^4.439*y - t^6.474*y - t^6.597*y + t^7.316*y + 2*t^7.439*y + t^7.561*y + 2*t^7.684*y + t^7.79*y + 2*t^7.913*y + 3*t^8.035*y + 4*t^8.158*y + 4*t^8.281*y + 3*t^8.403*y - t^8.509*y + t^8.526*y + t^8.755*y + 4*t^8.877*y | g1^7*t^2.035 + g1^3*t^2.158 + t^2.281/g1 + t^2.403/g1^5 + g1^8*t^2.755 + g1^4*t^2.877 + t^3. + t^3.123/g1^4 + g1*t^3.719 + t^3.842/g1^3 + g1^14*t^4.071 + g1^10*t^4.193 + 2*g1^6*t^4.316 + 2*g1^2*t^4.439 + (3*t^4.561)/g1^2 + (2*t^4.684)/g1^6 + g1^15*t^4.79 + (2*t^4.807)/g1^10 + 2*g1^11*t^4.913 + 2*g1^7*t^5.035 + 3*g1^3*t^5.158 + (3*t^5.281)/g1 + (2*t^5.403)/g1^5 + g1^16*t^5.509 + t^5.526/g1^9 + g1^12*t^5.632 + 3*g1^8*t^5.755 + 2*g1^4*t^5.877 + g1^21*t^6.106 + t^6.123/g1^4 + g1^17*t^6.228 + t^6.245/g1^8 + 2*g1^13*t^6.351 + 3*g1^9*t^6.474 + 4*g1^5*t^6.597 + 4*g1*t^6.719 + g1^22*t^6.825 + (4*t^6.842)/g1^3 + 2*g1^18*t^6.948 + (3*t^6.965)/g1^7 + 3*g1^14*t^7.071 + (2*t^7.087)/g1^11 + 4*g1^10*t^7.193 + (2*t^7.21)/g1^15 + 5*g1^6*t^7.316 + 5*g1^2*t^7.439 + g1^23*t^7.544 + (4*t^7.561)/g1^2 + 2*g1^19*t^7.667 + (4*t^7.684)/g1^6 + 4*g1^15*t^7.79 + (2*t^7.807)/g1^10 + 4*g1^11*t^7.913 + t^7.929/g1^14 + 2*g1^7*t^8.035 + g1^28*t^8.141 + g1^3*t^8.158 + 2*g1^24*t^8.264 + 3*g1^20*t^8.386 - t^8.403/g1^5 + 5*g1^16*t^8.509 + 7*g1^12*t^8.632 + t^8.649/g1^13 + 3*g1^8*t^8.755 + g1^29*t^8.86 + 3*g1^4*t^8.877 + 2*g1^25*t^8.983 - (g1^2*t^4.439)/y - (g1^9*t^6.474)/y - (g1^5*t^6.597)/y + (g1^6*t^7.316)/y + (2*g1^2*t^7.439)/y + t^7.561/(g1^2*y) + (2*t^7.684)/(g1^6*y) + (g1^15*t^7.79)/y + (2*g1^11*t^7.913)/y + (3*g1^7*t^8.035)/y + (4*g1^3*t^8.158)/y + (4*t^8.281)/(g1*y) + (3*t^8.403)/(g1^5*y) - (g1^16*t^8.509)/y + t^8.526/(g1^9*y) + (g1^8*t^8.755)/y + (4*g1^4*t^8.877)/y - g1^2*t^4.439*y - g1^9*t^6.474*y - g1^5*t^6.597*y + g1^6*t^7.316*y + 2*g1^2*t^7.439*y + (t^7.561*y)/g1^2 + (2*t^7.684*y)/g1^6 + g1^15*t^7.79*y + 2*g1^11*t^7.913*y + 3*g1^7*t^8.035*y + 4*g1^3*t^8.158*y + (4*t^8.281*y)/g1 + (3*t^8.403*y)/g1^5 - g1^16*t^8.509*y + (t^8.526*y)/g1^9 + g1^8*t^8.755*y + 4*g1^4*t^8.877*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 |
---|---|---|---|---|---|---|---|---|
55095 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6097 | 0.7822 | 0.7795 | [M:[0.7216, 0.6837, 1.0, 1.0379, 0.9243, 1.2784], q:[0.7595, 0.5189], qb:[0.5568, 0.2405], phi:[0.4811]] | t^2.051 + t^2.278 + t^2.392 + t^2.773 + t^2.886 + t^3. + t^3.114 + t^3.722 + 2*t^3.835 + t^4.102 + t^4.33 + t^4.443 + 2*t^4.557 + 2*t^4.67 + 2*t^4.784 + t^4.824 + t^4.938 + t^5.051 + 2*t^5.165 + 2*t^5.278 + 2*t^5.392 + t^5.506 + t^5.546 + t^5.659 + 3*t^5.773 + 2*t^5.886 - t^6. - t^4.443/y - t^4.443*y | detail | |
55080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6499 | 0.8578 | 0.7576 | [M:[0.7172, 0.6735, 1.0, 1.0437, 0.9126, 0.7172], q:[0.7609, 0.5219], qb:[0.5656, 0.2391], phi:[0.4781]] | t^2.021 + 2*t^2.152 + t^2.283 + t^2.414 + t^2.738 + t^2.869 + t^3. + t^3.131 + t^3.717 + t^4.041 + 2*t^4.172 + 4*t^4.303 + 3*t^4.434 + 4*t^4.566 + 2*t^4.697 + t^4.758 + 2*t^4.828 + 3*t^4.889 + 3*t^5.021 + 4*t^5.152 + 4*t^5.283 + 2*t^5.414 + t^5.476 + t^5.545 + t^5.607 + 3*t^5.738 + 2*t^5.869 - t^6. - t^4.434/y - t^4.434*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 |
---|---|---|---|---|---|---|---|---|---|
46639 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6247 | 0.8113 | 0.77 | [M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | t^2.177 + t^2.219 + t^2.26 + t^2.302 + t^2.959 + t^3. + t^3.041 + t^3.083 + t^3.74 + t^3.781 + t^4.355 + t^4.396 + 2*t^4.438 + 2*t^4.479 + 3*t^4.521 + 2*t^4.562 + 2*t^4.604 + t^5.136 + t^5.177 + 2*t^5.219 + 4*t^5.26 + 3*t^5.302 + 2*t^5.343 + t^5.385 + 2*t^5.917 + t^5.959 - t^4.479/y - t^4.479*y | detail |