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 |
---|---|---|---|---|---|---|---|---|---|
3153 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5752 | 0.7175 | 0.8017 | [X:[1.5723], M:[0.4277, 1.283, 0.717, 0.9938, 1.0062, 0.9938, 0.8678], q:[0.9308, 0.6415], qb:[0.3523, 0.3647], phi:[0.4277]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-14], [24]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.151 + t^2.566 + t^2.603 + 2*t^2.981 + t^3.434 + t^3.471 + t^3.849 + t^3.886 + t^4.302 + 2*t^4.717 + t^4.754 + 3*t^5.132 + t^5.17 + t^5.207 + t^5.547 + 2*t^5.585 + t^5.622 + 2*t^5.963 - t^6. + 2*t^6.037 + t^6.075 + t^6.415 + 3*t^6.453 + t^6.49 + t^6.868 + t^6.905 + t^6.943 - t^7.246 + 2*t^7.283 + 2*t^7.32 + 2*t^7.358 + 3*t^7.698 + 2*t^7.736 + 3*t^7.773 + t^7.81 + 2*t^8.114 - 2*t^8.151 + 3*t^8.188 + t^8.226 + t^8.603 + 2*t^8.641 + t^8.678 + 2*t^8.944 - 4*t^8.981 - t^4.283/y - t^6.849/y - t^6.886/y - t^7.264/y + t^7.302/y + t^7.68/y + (2*t^7.717)/y + t^7.754/y + (2*t^8.132)/y + t^8.17/y + (2*t^8.547)/y + (3*t^8.585)/y + t^8.622/y + t^8.963/y - t^4.283*y - t^6.849*y - t^6.886*y - t^7.264*y + t^7.302*y + t^7.68*y + 2*t^7.717*y + t^7.754*y + 2*t^8.132*y + t^8.17*y + 2*t^8.547*y + 3*t^8.585*y + t^8.622*y + t^8.963*y | g1^6*t^2.151 + t^2.566/g1^4 + g1^24*t^2.603 + (2*t^2.981)/g1^14 + g1^4*t^3.434 + g1^32*t^3.471 + t^3.849/g1^6 + g1^22*t^3.886 + g1^12*t^4.302 + 2*g1^2*t^4.717 + g1^30*t^4.754 + (3*t^5.132)/g1^8 + g1^20*t^5.17 + g1^48*t^5.207 + t^5.547/g1^18 + 2*g1^10*t^5.585 + g1^38*t^5.622 + (2*t^5.963)/g1^28 - t^6. + 2*g1^28*t^6.037 + g1^56*t^6.075 + t^6.415/g1^10 + 3*g1^18*t^6.453 + g1^46*t^6.49 + g1^8*t^6.868 + g1^36*t^6.905 + g1^64*t^6.943 - t^7.246/g1^30 + (2*t^7.283)/g1^2 + 2*g1^26*t^7.32 + 2*g1^54*t^7.358 + (3*t^7.698)/g1^12 + 2*g1^16*t^7.736 + 3*g1^44*t^7.773 + g1^72*t^7.81 + (2*t^8.114)/g1^22 - 2*g1^6*t^8.151 + 3*g1^34*t^8.188 + g1^62*t^8.226 + g1^24*t^8.603 + 2*g1^52*t^8.641 + g1^80*t^8.678 + (2*t^8.944)/g1^42 - (4*t^8.981)/g1^14 - t^4.283/(g1^2*y) - t^6.849/(g1^6*y) - (g1^22*t^6.886)/y - t^7.264/(g1^16*y) + (g1^12*t^7.302)/y + t^7.68/(g1^26*y) + (2*g1^2*t^7.717)/y + (g1^30*t^7.754)/y + (2*t^8.132)/(g1^8*y) + (g1^20*t^8.17)/y + (2*t^8.547)/(g1^18*y) + (3*g1^10*t^8.585)/y + (g1^38*t^8.622)/y + t^8.963/(g1^28*y) - (t^4.283*y)/g1^2 - (t^6.849*y)/g1^6 - g1^22*t^6.886*y - (t^7.264*y)/g1^16 + g1^12*t^7.302*y + (t^7.68*y)/g1^26 + 2*g1^2*t^7.717*y + g1^30*t^7.754*y + (2*t^8.132*y)/g1^8 + g1^20*t^8.17*y + (2*t^8.547*y)/g1^18 + 3*g1^10*t^8.585*y + g1^38*t^8.622*y + (t^8.963*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
5009 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5879 | 0.739 | 0.7956 | [X:[1.5729], M:[0.4271, 1.2813, 0.7187, 0.9897, 1.0103, 0.9897, 0.8748, 0.8542], q:[0.9323, 0.6406], qb:[0.349, 0.3697], phi:[0.4271]] | t^2.156 + 2*t^2.563 + t^2.624 + 2*t^2.969 + t^3.499 + t^3.844 + t^3.906 + t^4.312 + 3*t^4.719 + t^4.781 + 5*t^5.125 + 2*t^5.187 + t^5.249 + 3*t^5.532 + t^5.594 + t^5.655 + 2*t^5.938 - 2*t^6. - t^4.281/y - t^4.281*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 |
---|---|---|---|---|---|---|---|---|---|
2091 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5654 | 0.7 | 0.8078 | [X:[1.5765], M:[0.4235, 1.2705, 0.7295, 0.9645, 1.0355, 0.9645], q:[0.9413, 0.6352], qb:[0.3292, 0.4003], phi:[0.4235]] | t^2.189 + t^2.541 + 2*t^2.893 + t^3.246 + t^3.459 + t^3.672 + t^3.811 + t^4.025 + t^4.377 + 2*t^4.73 + 3*t^5.082 + 2*t^5.434 + 3*t^5.787 + t^5.861 - t^6. - t^4.27/y - t^4.27*y | detail |