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 |
---|---|---|---|---|---|---|---|---|---|
1301 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$ | 0.652 | 0.8153 | 0.7997 | [X:[1.6126], M:[0.7747, 1.1621, 0.3874, 0.8379, 0.7116, 0.8379], q:[0.4505, 0.7747], qb:[0.3874, 0.8379], phi:[0.3874]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-7], [3]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.135 + 2*t^2.324 + 2*t^2.514 + t^3.486 + 2*t^3.676 + t^3.865 + t^4.27 + 2*t^4.459 + 5*t^4.648 + 5*t^4.838 + 3*t^5.027 + t^5.621 + 2*t^5.811 + 2*t^6. + 4*t^6.189 + 2*t^6.379 + t^6.404 + 2*t^6.594 + 5*t^6.783 + 8*t^6.973 + 7*t^7.162 + 5*t^7.352 + 4*t^7.541 + t^7.73 + t^7.756 + 2*t^7.945 + t^8.135 + t^8.539 + 5*t^8.703 + 2*t^8.729 + 3*t^8.892 + 5*t^8.918 - t^4.162/y - t^6.297/y - (2*t^6.486)/y - t^6.676/y + (2*t^7.459)/y + (4*t^7.648)/y + (6*t^7.838)/y + (2*t^8.027)/y - t^8.432/y - t^8.621/y - t^4.162*y - t^6.297*y - 2*t^6.486*y - t^6.676*y + 2*t^7.459*y + 4*t^7.648*y + 6*t^7.838*y + 2*t^8.027*y - t^8.432*y - t^8.621*y | t^2.135/g1^7 + (2*t^2.324)/g1^2 + 2*g1^3*t^2.514 + t^3.486/g1^3 + 2*g1^2*t^3.676 + g1^7*t^3.865 + t^4.27/g1^14 + (2*t^4.459)/g1^9 + (5*t^4.648)/g1^4 + 5*g1*t^4.838 + 3*g1^6*t^5.027 + t^5.621/g1^10 + (2*t^5.811)/g1^5 + 2*t^6. + 4*g1^5*t^6.189 + 2*g1^10*t^6.379 + t^6.404/g1^21 + (2*t^6.594)/g1^16 + (5*t^6.783)/g1^11 + (8*t^6.973)/g1^6 + (7*t^7.162)/g1 + 5*g1^4*t^7.352 + 4*g1^9*t^7.541 + g1^14*t^7.73 + t^7.756/g1^17 + (2*t^7.945)/g1^12 + t^8.135/g1^7 + t^8.539/g1^28 + 5*g1^8*t^8.703 + (2*t^8.729)/g1^23 + 3*g1^13*t^8.892 + (5*t^8.918)/g1^18 - t^4.162/(g1*y) - t^6.297/(g1^8*y) - (2*t^6.486)/(g1^3*y) - (g1^2*t^6.676)/y + (2*t^7.459)/(g1^9*y) + (4*t^7.648)/(g1^4*y) + (6*g1*t^7.838)/y + (2*g1^6*t^8.027)/y - t^8.432/(g1^15*y) - t^8.621/(g1^10*y) - (t^4.162*y)/g1 - (t^6.297*y)/g1^8 - (2*t^6.486*y)/g1^3 - g1^2*t^6.676*y + (2*t^7.459*y)/g1^9 + (4*t^7.648*y)/g1^4 + 6*g1*t^7.838*y + 2*g1^6*t^8.027*y - (t^8.432*y)/g1^15 - (t^8.621*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
2332 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{7}$ | 0.6664 | 0.8401 | 0.7931 | [X:[1.6097], M:[0.7806, 1.171, 0.3903, 0.829, 0.7323, 0.829, 0.829], q:[0.4387, 0.7806], qb:[0.3903, 0.829], phi:[0.3903]] | t^2.197 + 2*t^2.342 + 3*t^2.487 + 2*t^3.658 + t^3.803 + t^4.394 + 2*t^4.539 + 6*t^4.684 + 7*t^4.829 + 6*t^4.974 - t^4.171/y - t^4.171*y | detail | |
2331 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.632 | 0.7786 | 0.8118 | [X:[1.6091], M:[0.7817, 1.1726, 0.3909, 0.8274, 0.736, 0.8274, 1.264], q:[0.4366, 0.7817], qb:[0.3909, 0.8274], phi:[0.3909]] | 2*t^2.345 + 2*t^2.482 + t^3.518 + 2*t^3.655 + 2*t^3.792 + 3*t^4.69 + 5*t^4.827 + 3*t^4.965 + t^6. - t^4.173/y - t^4.173*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 |
---|---|---|---|---|---|---|---|---|---|
824 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7577 | 0.9523 | 0.7957 | [M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], phi:[0.4433]] | t^2.011 + 2*t^2.319 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.021 + 4*t^4.33 + 3*t^4.639 + 6*t^4.67 + 4*t^4.979 + 4*t^5.011 + 6*t^5.319 + 2*t^5.351 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail |