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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2503 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ | 0.7 | 0.8586 | 0.8152 | [M:[1.0257, 0.923, 1.0513, 0.8973, 1.0, 0.9487, 1.0513], q:[0.4615, 0.5128], qb:[0.4872, 0.5899], phi:[0.4872]] | [M:[[2], [-6], [4], [-8], [0], [-4], [4]], q:[[-3], [1]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.692 + t^2.769 + t^2.923 + t^3. + t^3.077 + 2*t^3.154 + t^4.23 + t^4.307 + 2*t^4.384 + t^4.461 + t^4.539 + t^4.616 + t^4.693 + t^4.77 + t^5.001 + t^5.384 + t^5.461 + t^5.538 + t^5.692 + t^5.769 + 3*t^5.846 + t^5.923 - 2*t^6. + t^6.077 + t^6.154 + t^6.231 + 2*t^6.308 - t^6.385 + t^6.922 + 2*t^6.999 + 2*t^7.076 + 3*t^7.153 + 2*t^7.23 + 3*t^7.307 + 4*t^7.384 + 2*t^7.461 + 3*t^7.539 + 2*t^7.693 + 2*t^7.77 + 2*t^7.924 + t^8.076 + t^8.153 + 2*t^8.155 + t^8.23 + t^8.307 + 3*t^8.461 + 3*t^8.538 + 3*t^8.615 - t^8.692 - t^8.769 + 2*t^8.846 - t^4.461/y - t^7.153/y - t^7.23/y + t^7.307/y - t^7.616/y + t^7.693/y + t^7.77/y + t^8.461/y + t^8.615/y + (2*t^8.692)/y + (2*t^8.769)/y + (3*t^8.846)/y + (3*t^8.923)/y - t^4.461*y - t^7.153*y - t^7.23*y + t^7.307*y - t^7.616*y + t^7.693*y + t^7.77*y + t^8.461*y + t^8.615*y + 2*t^8.692*y + 2*t^8.769*y + 3*t^8.846*y + 3*t^8.923*y | t^2.692/g1^8 + t^2.769/g1^6 + t^2.923/g1^2 + t^3. + g1^2*t^3.077 + 2*g1^4*t^3.154 + t^4.23/g1^7 + t^4.307/g1^5 + (2*t^4.384)/g1^3 + t^4.461/g1 + g1*t^4.539 + g1^3*t^4.616 + g1^5*t^4.693 + g1^7*t^4.77 + g1^13*t^5.001 + t^5.384/g1^16 + t^5.461/g1^14 + t^5.538/g1^12 + t^5.692/g1^8 + t^5.769/g1^6 + (3*t^5.846)/g1^4 + t^5.923/g1^2 - 2*t^6. + g1^2*t^6.077 + g1^4*t^6.154 + g1^6*t^6.231 + 2*g1^8*t^6.308 - g1^10*t^6.385 + t^6.922/g1^15 + (2*t^6.999)/g1^13 + (2*t^7.076)/g1^11 + (3*t^7.153)/g1^9 + (2*t^7.23)/g1^7 + (3*t^7.307)/g1^5 + (4*t^7.384)/g1^3 + (2*t^7.461)/g1 + 3*g1*t^7.539 + 2*g1^5*t^7.693 + 2*g1^7*t^7.77 + 2*g1^11*t^7.924 + t^8.076/g1^24 + t^8.153/g1^22 + 2*g1^17*t^8.155 + t^8.23/g1^20 + t^8.307/g1^18 + (3*t^8.461)/g1^14 + (3*t^8.538)/g1^12 + (3*t^8.615)/g1^10 - t^8.692/g1^8 - t^8.769/g1^6 + (2*t^8.846)/g1^4 - t^4.461/(g1*y) - t^7.153/(g1^9*y) - t^7.23/(g1^7*y) + t^7.307/(g1^5*y) - (g1^3*t^7.616)/y + (g1^5*t^7.693)/y + (g1^7*t^7.77)/y + t^8.461/(g1^14*y) + t^8.615/(g1^10*y) + (2*t^8.692)/(g1^8*y) + (2*t^8.769)/(g1^6*y) + (3*t^8.846)/(g1^4*y) + (3*t^8.923)/(g1^2*y) - (t^4.461*y)/g1 - (t^7.153*y)/g1^9 - (t^7.23*y)/g1^7 + (t^7.307*y)/g1^5 - g1^3*t^7.616*y + g1^5*t^7.693*y + g1^7*t^7.77*y + (t^8.461*y)/g1^14 + (t^8.615*y)/g1^10 + (2*t^8.692*y)/g1^8 + (2*t^8.769*y)/g1^6 + (3*t^8.846*y)/g1^4 + (3*t^8.923*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4546 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7026 | 0.8634 | 0.8137 | [M:[1.0292, 0.9123, 1.0585, 0.8831, 1.0, 0.9415, 1.0585, 0.9708], q:[0.4561, 0.5146], qb:[0.4854, 0.6023], phi:[0.4854]] | t^2.649 + t^2.737 + 2*t^2.912 + t^3. + 2*t^3.175 + t^4.193 + t^4.281 + 2*t^4.368 + t^4.456 + t^4.544 + t^4.632 + t^4.719 + t^4.807 + t^5.07 + t^5.298 + t^5.386 + t^5.474 + t^5.561 + 2*t^5.649 + 4*t^5.825 + 2*t^5.912 - 3*t^6. - t^4.456/y - t^4.456*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 |
---|---|---|---|---|---|---|---|---|---|
1434 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7054 | 0.8688 | 0.8119 | [M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^4.451/y - t^4.451*y | detail |