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 |
---|---|---|---|---|---|---|---|---|---|
1062 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7021 | 0.8818 | 0.7962 | [M:[0.9685, 1.1251, 0.9685, 0.6876, 0.8749, 0.6876], q:[0.7813, 0.4375], qb:[0.594, 0.4375], phi:[0.4375]] | [M:[[9], [-4], [9], [-6], [4], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -3 | 2*t^2.063 + 2*t^2.625 + 2*t^2.906 + 2*t^3.656 + t^3.937 + 4*t^4.126 + 2*t^4.407 + 4*t^4.688 + t^4.876 + 4*t^4.969 + 3*t^5.249 + 2*t^5.53 + 4*t^5.719 + 3*t^5.811 - 3*t^6. + 6*t^6.189 + 2*t^6.281 + 2*t^6.47 + 5*t^6.562 + 6*t^6.751 + 2*t^6.939 + 8*t^7.031 + 6*t^7.312 + t^7.501 + 4*t^7.593 + 6*t^7.782 + 10*t^7.874 - 6*t^8.063 + 2*t^8.155 + 8*t^8.252 + 2*t^8.344 + 3*t^8.436 + 4*t^8.533 + 4*t^8.717 + 8*t^8.813 - 6*t^8.906 - t^4.312/y - (2*t^6.375)/y - t^6.937/y + t^7.126/y - (2*t^7.218)/y + (2*t^7.407)/y + (5*t^7.688)/y + (4*t^7.969)/y + (3*t^8.249)/y - (3*t^8.438)/y + (4*t^8.53)/y + (4*t^8.719)/y + t^8.811/y - t^4.312*y - 2*t^6.375*y - t^6.937*y + t^7.126*y - 2*t^7.218*y + 2*t^7.407*y + 5*t^7.688*y + 4*t^7.969*y + 3*t^8.249*y - 3*t^8.438*y + 4*t^8.53*y + 4*t^8.719*y + t^8.811*y | (2*t^2.063)/g1^6 + 2*g1^4*t^2.625 + 2*g1^9*t^2.906 + 2*g1*t^3.656 + g1^6*t^3.937 + (4*t^4.126)/g1^12 + (2*t^4.407)/g1^7 + (4*t^4.688)/g1^2 + t^4.876/g1^20 + 4*g1^3*t^4.969 + 3*g1^8*t^5.249 + 2*g1^13*t^5.53 + (4*t^5.719)/g1^5 + 3*g1^18*t^5.811 - 3*t^6. + (6*t^6.189)/g1^18 + 2*g1^5*t^6.281 + (2*t^6.47)/g1^13 + 5*g1^10*t^6.562 + (6*t^6.751)/g1^8 + (2*t^6.939)/g1^26 + (8*t^7.031)/g1^3 + 6*g1^2*t^7.312 + t^7.501/g1^16 + 4*g1^7*t^7.593 + (6*t^7.782)/g1^11 + 10*g1^12*t^7.874 - (6*t^8.063)/g1^6 + 2*g1^17*t^8.155 + (8*t^8.252)/g1^24 + (2*t^8.344)/g1 + 3*g1^22*t^8.436 + (4*t^8.533)/g1^19 + 4*g1^27*t^8.717 + (8*t^8.813)/g1^14 - 6*g1^9*t^8.906 - (g1^2*t^4.312)/y - (2*t^6.375)/(g1^4*y) - (g1^6*t^6.937)/y + t^7.126/(g1^12*y) - (2*g1^11*t^7.218)/y + (2*t^7.407)/(g1^7*y) + (5*t^7.688)/(g1^2*y) + (4*g1^3*t^7.969)/y + (3*g1^8*t^8.249)/y - (3*t^8.438)/(g1^10*y) + (4*g1^13*t^8.53)/y + (4*t^8.719)/(g1^5*y) + (g1^18*t^8.811)/y - g1^2*t^4.312*y - (2*t^6.375*y)/g1^4 - g1^6*t^6.937*y + (t^7.126*y)/g1^12 - 2*g1^11*t^7.218*y + (2*t^7.407*y)/g1^7 + (5*t^7.688*y)/g1^2 + 4*g1^3*t^7.969*y + 3*g1^8*t^8.249*y - (3*t^8.438*y)/g1^10 + 4*g1^13*t^8.53*y + (4*t^8.719*y)/g1^5 + g1^18*t^8.811*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 |
---|---|---|---|---|---|---|---|---|
1656 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7228 | 0.9222 | 0.7838 | [M:[0.9709, 1.124, 0.9709, 0.6861, 0.876, 0.6861, 0.6861], q:[0.781, 0.438], qb:[0.5911, 0.438], phi:[0.438]] | 3*t^2.058 + 2*t^2.628 + 2*t^2.913 + 2*t^3.657 + 7*t^4.116 + 2*t^4.401 + 6*t^4.686 + t^4.861 + 6*t^4.971 + 3*t^5.256 + 2*t^5.541 + 6*t^5.715 + 3*t^5.826 - 5*t^6. - t^4.314/y - t^4.314*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 |
---|---|---|---|---|---|---|---|---|---|
663 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7021 | 0.8823 | 0.7958 | [M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.041 + t^2.065 + 2*t^2.623 + t^2.891 + t^2.915 + t^3.644 + t^3.668 + t^3.912 + t^4.083 + t^4.106 + 2*t^4.13 + t^4.397 + t^4.421 + 2*t^4.665 + 2*t^4.688 + t^4.883 + t^4.933 + 2*t^4.956 + t^4.979 + 3*t^5.247 + t^5.515 + t^5.538 + t^5.686 + 2*t^5.709 + t^5.732 + t^5.782 + t^5.806 + t^5.829 + t^5.953 - 3*t^6. - t^4.312/y - t^4.312*y | detail |