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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6393 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.7055 | 0.8979 | 0.7857 | [M:[0.9724, 0.8157, 0.9724, 0.8157, 1.1843, 0.7373, 0.7373, 0.8157, 1.106], q:[0.6198, 0.4078], qb:[0.4078, 0.7765], phi:[0.447]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8], [-2], [12]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{9}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{9}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | -3 | 2*t^2.212 + 3*t^2.447 + 2*t^2.917 + t^3.318 + t^3.788 + t^4.189 + 5*t^4.424 + 6*t^4.659 + 6*t^4.894 + t^5.06 + 4*t^5.129 + 4*t^5.364 + 2*t^5.53 + 3*t^5.765 + 3*t^5.834 - 3*t^6. + 3*t^6.235 + 2*t^6.401 - t^6.47 + 9*t^6.636 + 12*t^6.871 + 10*t^7.106 + 2*t^7.272 + 14*t^7.341 + 3*t^7.507 + 8*t^7.576 + 3*t^7.742 + 6*t^7.811 + 3*t^7.977 + 6*t^8.046 - 3*t^8.212 + 6*t^8.281 + t^8.378 - 9*t^8.447 + 3*t^8.613 + 2*t^8.682 + 4*t^8.751 + 13*t^8.848 - 10*t^8.917 - t^4.341/y - (2*t^6.553)/y - (2*t^6.788)/y - (2*t^7.258)/y + (3*t^7.424)/y + (6*t^7.659)/y + (5*t^7.894)/y + (6*t^8.129)/y + (6*t^8.364)/y + (2*t^8.53)/y + t^8.834/y - t^4.341*y - 2*t^6.553*y - 2*t^6.788*y - 2*t^7.258*y + 3*t^7.424*y + 6*t^7.659*y + 5*t^7.894*y + 6*t^8.129*y + 6*t^8.364*y + 2*t^8.53*y + t^8.834*y | 2*g1^8*t^2.212 + (3*t^2.447)/g1^2 + (2*t^2.917)/g1^22 + g1^12*t^3.318 + t^3.788/g1^8 + g1^26*t^4.189 + 5*g1^16*t^4.424 + 6*g1^6*t^4.659 + (6*t^4.894)/g1^4 + g1^40*t^5.06 + (4*t^5.129)/g1^14 + (4*t^5.364)/g1^24 + 2*g1^20*t^5.53 + 3*g1^10*t^5.765 + (3*t^5.834)/g1^44 - 3*t^6. + (3*t^6.235)/g1^10 + 2*g1^34*t^6.401 - t^6.47/g1^20 + 9*g1^24*t^6.636 + 12*g1^14*t^6.871 + 10*g1^4*t^7.106 + 2*g1^48*t^7.272 + (14*t^7.341)/g1^6 + 3*g1^38*t^7.507 + (8*t^7.576)/g1^16 + 3*g1^28*t^7.742 + (6*t^7.811)/g1^26 + 3*g1^18*t^7.977 + (6*t^8.046)/g1^36 - 3*g1^8*t^8.212 + (6*t^8.281)/g1^46 + g1^52*t^8.378 - (9*t^8.447)/g1^2 + 3*g1^42*t^8.613 + (2*t^8.682)/g1^12 + (4*t^8.751)/g1^66 + 13*g1^32*t^8.848 - (10*t^8.917)/g1^22 - t^4.341/(g1^6*y) - (2*g1^2*t^6.553)/y - (2*t^6.788)/(g1^8*y) - (2*t^7.258)/(g1^28*y) + (3*g1^16*t^7.424)/y + (6*g1^6*t^7.659)/y + (5*t^7.894)/(g1^4*y) + (6*t^8.129)/(g1^14*y) + (6*t^8.364)/(g1^24*y) + (2*g1^20*t^8.53)/y + t^8.834/(g1^44*y) - (t^4.341*y)/g1^6 - 2*g1^2*t^6.553*y - (2*t^6.788*y)/g1^8 - (2*t^7.258*y)/g1^28 + 3*g1^16*t^7.424*y + 6*g1^6*t^7.659*y + (5*t^7.894*y)/g1^4 + (6*t^8.129*y)/g1^14 + (6*t^8.364*y)/g1^24 + 2*g1^20*t^8.53*y + (t^8.834*y)/g1^44 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7156 | 0.9148 | 0.7823 | [M:[0.9474, 0.8134, 0.9474, 0.8134, 1.1866, 0.7464, 0.7464, 0.8134], q:[0.6459, 0.4067], qb:[0.4067, 0.7799], phi:[0.4402]] | 2*t^2.239 + 3*t^2.44 + t^2.641 + 2*t^2.842 + t^3.761 + t^4.277 + 5*t^4.478 + 6*t^4.679 + 8*t^4.88 + 7*t^5.081 + t^5.196 + 5*t^5.282 + 2*t^5.483 + 3*t^5.684 - 3*t^6. - t^4.321/y - t^4.321*y | detail |