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 |
---|---|---|---|---|---|---|---|---|---|
3245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6298 | 0.8198 | 0.7682 | [M:[1.0, 1.0409, 0.9182, 0.7193, 0.6784], q:[0.7602, 0.2398], qb:[0.5205, 0.5614], phi:[0.4795]] | [M:[[0], [4], [-8], [-3], [-7]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 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 | t^2.035/g1^7 + t^2.158/g1^3 + g1*t^2.281 + g1^5*t^2.403 + t^2.755/g1^8 + t^2.877/g1^4 + t^3. + g1^4*t^3.123 + t^3.719/g1 + g1^3*t^3.842 + t^4.071/g1^14 + t^4.193/g1^10 + (2*t^4.316)/g1^6 + (2*t^4.439)/g1^2 + 3*g1^2*t^4.561 + 2*g1^6*t^4.684 + t^4.79/g1^15 + 2*g1^10*t^4.807 + (2*t^4.913)/g1^11 + (2*t^5.035)/g1^7 + (3*t^5.158)/g1^3 + 3*g1*t^5.281 + 2*g1^5*t^5.403 + t^5.509/g1^16 + g1^9*t^5.526 + t^5.632/g1^12 + (3*t^5.755)/g1^8 + (2*t^5.877)/g1^4 + t^6.106/g1^21 + g1^4*t^6.123 + t^6.228/g1^17 + g1^8*t^6.245 + (2*t^6.351)/g1^13 + (3*t^6.474)/g1^9 + (4*t^6.597)/g1^5 + (4*t^6.719)/g1 + t^6.825/g1^22 + 4*g1^3*t^6.842 + (2*t^6.948)/g1^18 + 3*g1^7*t^6.965 + (3*t^7.071)/g1^14 + 2*g1^11*t^7.087 + (4*t^7.193)/g1^10 + 2*g1^15*t^7.21 + (5*t^7.316)/g1^6 + (5*t^7.439)/g1^2 + t^7.544/g1^23 + 4*g1^2*t^7.561 + (2*t^7.667)/g1^19 + 4*g1^6*t^7.684 + (4*t^7.79)/g1^15 + 2*g1^10*t^7.807 + (4*t^7.913)/g1^11 + g1^14*t^7.929 + (2*t^8.035)/g1^7 + t^8.141/g1^28 + t^8.158/g1^3 + (2*t^8.264)/g1^24 + (3*t^8.386)/g1^20 - g1^5*t^8.403 + (5*t^8.509)/g1^16 + (7*t^8.632)/g1^12 + g1^13*t^8.649 + (3*t^8.755)/g1^8 + t^8.86/g1^29 + (3*t^8.877)/g1^4 + (2*t^8.983)/g1^25 - t^4.439/(g1^2*y) - t^6.474/(g1^9*y) - t^6.597/(g1^5*y) + t^7.316/(g1^6*y) + (2*t^7.439)/(g1^2*y) + (g1^2*t^7.561)/y + (2*g1^6*t^7.684)/y + t^7.79/(g1^15*y) + (2*t^7.913)/(g1^11*y) + (3*t^8.035)/(g1^7*y) + (4*t^8.158)/(g1^3*y) + (4*g1*t^8.281)/y + (3*g1^5*t^8.403)/y - t^8.509/(g1^16*y) + (g1^9*t^8.526)/y + t^8.755/(g1^8*y) + (4*t^8.877)/(g1^4*y) - (t^4.439*y)/g1^2 - (t^6.474*y)/g1^9 - (t^6.597*y)/g1^5 + (t^7.316*y)/g1^6 + (2*t^7.439*y)/g1^2 + g1^2*t^7.561*y + 2*g1^6*t^7.684*y + (t^7.79*y)/g1^15 + (2*t^7.913*y)/g1^11 + (3*t^8.035*y)/g1^7 + (4*t^8.158*y)/g1^3 + 4*g1*t^8.281*y + 3*g1^5*t^8.403*y - (t^8.509*y)/g1^16 + g1^9*t^8.526*y + (t^8.755*y)/g1^8 + (4*t^8.877*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 |
---|---|---|---|---|---|---|---|---|
3666 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6247 | 0.8113 | 0.77 | [M:[1.0, 1.0138, 0.9724, 0.7396, 0.7258, 1.0276], q:[0.7535, 0.2465], qb:[0.5069, 0.5207], 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 | |
3667 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6499 | 0.8578 | 0.7576 | [M:[1.0, 1.0437, 0.9126, 0.7172, 0.6735, 0.7172], q:[0.7609, 0.2391], qb:[0.5219, 0.5656], 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 |
---|---|---|---|---|---|---|---|---|---|
2734 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.609 | 0.779 | 0.7817 | [M:[1.0, 1.0388, 0.9224, 0.7209], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | t^2.163 + t^2.279 + t^2.395 + t^2.767 + t^2.884 + t^3. + t^3.116 + t^3.721 + t^3.837 + t^3.954 + t^4.325 + t^4.442 + 3*t^4.558 + 2*t^4.675 + 2*t^4.791 + t^4.93 + t^5.046 + 2*t^5.163 + 3*t^5.279 + 2*t^5.395 + t^5.512 + t^5.535 + t^5.651 + 2*t^5.767 + t^5.884 - t^4.442/y - t^4.442*y | detail |