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 |
---|---|---|---|---|---|---|---|---|---|
55958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7002 | 0.859 | 0.8152 | [M:[1.0536, 1.0268, 0.9464, 0.9196, 1.0, 0.9464], q:[0.4598, 0.4866], qb:[0.5134, 0.5938], phi:[0.4866]] | [M:[[4], [2], [-4], [-6], [0], [-4]], q:[[-3], [-1]], qb:[[1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.759 + 2*t^2.839 + t^2.92 + t^3. + t^3.08 + t^3.321 + t^4.219 + t^4.299 + 2*t^4.379 + t^4.46 + t^4.54 + t^4.621 + t^4.701 + t^4.781 + t^5.022 + t^5.518 + t^5.598 + 3*t^5.679 + 2*t^5.759 + 3*t^5.839 + t^5.92 - 2*t^6. + t^6.161 + t^6.643 + t^6.978 + 2*t^7.058 + 4*t^7.138 + 5*t^7.219 + 4*t^7.299 + 3*t^7.379 + t^7.46 + 2*t^7.54 + t^7.621 + t^7.701 + t^7.781 + t^7.862 + t^7.942 + t^8.022 + t^8.103 + t^8.277 + t^8.344 + t^8.357 + 3*t^8.437 + 4*t^8.518 + 5*t^8.598 + 4*t^8.679 + t^8.759 - 2*t^8.839 - 2*t^8.92 - t^4.46/y - t^7.219/y - t^7.299/y + t^7.621/y + t^7.701/y + (2*t^8.598)/y + (2*t^8.679)/y + (3*t^8.759)/y + (3*t^8.839)/y + (3*t^8.92)/y - t^4.46*y - t^7.219*y - t^7.299*y + t^7.621*y + t^7.701*y + 2*t^8.598*y + 2*t^8.679*y + 3*t^8.759*y + 3*t^8.839*y + 3*t^8.92*y | t^2.759/g1^6 + (2*t^2.839)/g1^4 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + g1^8*t^3.321 + t^4.219/g1^7 + t^4.299/g1^5 + (2*t^4.379)/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.621 + g1^5*t^4.701 + g1^7*t^4.781 + g1^13*t^5.022 + t^5.518/g1^12 + t^5.598/g1^10 + (3*t^5.679)/g1^8 + (2*t^5.759)/g1^6 + (3*t^5.839)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^4*t^6.161 + g1^16*t^6.643 + t^6.978/g1^13 + (2*t^7.058)/g1^11 + (4*t^7.138)/g1^9 + (5*t^7.219)/g1^7 + (4*t^7.299)/g1^5 + (3*t^7.379)/g1^3 + t^7.46/g1 + 2*g1*t^7.54 + g1^3*t^7.621 + g1^5*t^7.701 + g1^7*t^7.781 + g1^9*t^7.862 + g1^11*t^7.942 + g1^13*t^8.022 + g1^15*t^8.103 + t^8.277/g1^18 + g1^21*t^8.344 + t^8.357/g1^16 + (3*t^8.437)/g1^14 + (4*t^8.518)/g1^12 + (5*t^8.598)/g1^10 + (4*t^8.679)/g1^8 + t^8.759/g1^6 - (2*t^8.839)/g1^4 - (2*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.219/(g1^7*y) - t^7.299/(g1^5*y) + (g1^3*t^7.621)/y + (g1^5*t^7.701)/y + (2*t^8.598)/(g1^10*y) + (2*t^8.679)/(g1^8*y) + (3*t^8.759)/(g1^6*y) + (3*t^8.839)/(g1^4*y) + (3*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.219*y)/g1^7 - (t^7.299*y)/g1^5 + g1^3*t^7.621*y + g1^5*t^7.701*y + (2*t^8.598*y)/g1^10 + (2*t^8.679*y)/g1^8 + (3*t^8.759*y)/g1^6 + (3*t^8.839*y)/g1^4 + (3*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
57712 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6979 | 0.8549 | 0.8164 | [M:[1.0458, 1.0229, 0.9542, 0.9313, 1.0, 0.9542, 1.0229], q:[0.4656, 0.4885], qb:[0.5115, 0.5802], phi:[0.4885]] | t^2.794 + 2*t^2.863 + t^3. + 2*t^3.069 + t^3.275 + t^4.259 + t^4.328 + 2*t^4.397 + t^4.466 + t^4.534 + t^4.603 + t^4.672 + t^4.741 + t^4.947 + t^5.588 + t^5.656 + 2*t^5.725 + 3*t^5.863 + 2*t^5.931 - 3*t^6. - t^4.466/y - t^4.466*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 |
---|---|---|---|---|---|---|---|---|---|
48232 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[1.0721, 0.9677, 0.9279, 0.9602, 1.0, 0.9279], q:[0.4801, 0.4478], qb:[0.5522, 0.592], phi:[0.482]] | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail |