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 |
---|---|---|---|---|---|---|---|---|---|
4550 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6926 | 0.8487 | 0.8161 | [M:[1.005, 0.985, 1.015, 0.9749, 1.0251, 1.0251, 0.995, 0.9649], q:[0.5025, 0.4925], qb:[0.4824, 0.5326], phi:[0.4975]] | [M:[[2], [-6], [6], [-10], [10], [10], [-2], [-14]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.895 + t^2.955 + 2*t^2.985 + t^3.045 + 2*t^3.075 + t^4.387 + t^4.417 + 2*t^4.447 + t^4.477 + t^4.508 + t^4.538 + t^4.568 + t^4.598 + t^4.688 + t^5.789 + t^5.88 + 2*t^5.94 + 3*t^5.97 - 3*t^6. + t^6.03 + 3*t^6.06 + t^6.12 + 2*t^6.15 + t^7.282 + t^7.312 + 2*t^7.342 + 2*t^7.372 + 2*t^7.402 + 4*t^7.432 + 2*t^7.462 + 2*t^7.492 + 2*t^7.523 + 2*t^7.553 + 3*t^7.583 + 2*t^7.643 + 3*t^7.673 - t^7.703 + t^7.733 + 2*t^7.763 + t^8.684 + 2*t^8.774 + t^8.804 + 2*t^8.835 + 3*t^8.865 - t^8.895 + 2*t^8.925 + 2*t^8.955 - 5*t^8.985 - t^4.492/y - t^7.387/y + t^7.417/y - t^7.477/y + t^7.508/y - t^7.568/y + t^7.598/y + t^8.85/y + (2*t^8.88)/y + (3*t^8.94)/y + (3*t^8.97)/y - t^4.492*y - t^7.387*y + t^7.417*y - t^7.477*y + t^7.508*y - t^7.568*y + t^7.598*y + t^8.85*y + 2*t^8.88*y + 3*t^8.94*y + 3*t^8.97*y | t^2.895/g1^14 + t^2.955/g1^6 + (2*t^2.985)/g1^2 + g1^6*t^3.045 + 2*g1^10*t^3.075 + t^4.387/g1^15 + t^4.417/g1^11 + (2*t^4.447)/g1^7 + t^4.477/g1^3 + g1*t^4.508 + g1^5*t^4.538 + g1^9*t^4.568 + g1^13*t^4.598 + g1^25*t^4.688 + t^5.789/g1^28 + t^5.88/g1^16 + (2*t^5.94)/g1^8 + (3*t^5.97)/g1^4 - 3*t^6. + g1^4*t^6.03 + 3*g1^8*t^6.06 + g1^16*t^6.12 + 2*g1^20*t^6.15 + t^7.282/g1^29 + t^7.312/g1^25 + (2*t^7.342)/g1^21 + (2*t^7.372)/g1^17 + (2*t^7.402)/g1^13 + (4*t^7.432)/g1^9 + (2*t^7.462)/g1^5 + (2*t^7.492)/g1 + 2*g1^3*t^7.523 + 2*g1^7*t^7.553 + 3*g1^11*t^7.583 + 2*g1^19*t^7.643 + 3*g1^23*t^7.673 - g1^27*t^7.703 + g1^31*t^7.733 + 2*g1^35*t^7.763 + t^8.684/g1^42 + (2*t^8.774)/g1^30 + t^8.804/g1^26 + (2*t^8.835)/g1^22 + (3*t^8.865)/g1^18 - t^8.895/g1^14 + (2*t^8.925)/g1^10 + (2*t^8.955)/g1^6 - (5*t^8.985)/g1^2 - t^4.492/(g1*y) - t^7.387/(g1^15*y) + t^7.417/(g1^11*y) - t^7.477/(g1^3*y) + (g1*t^7.508)/y - (g1^9*t^7.568)/y + (g1^13*t^7.598)/y + t^8.85/(g1^20*y) + (2*t^8.88)/(g1^16*y) + (3*t^8.94)/(g1^8*y) + (3*t^8.97)/(g1^4*y) - (t^4.492*y)/g1 - (t^7.387*y)/g1^15 + (t^7.417*y)/g1^11 - (t^7.477*y)/g1^3 + g1*t^7.508*y - g1^9*t^7.568*y + g1^13*t^7.598*y + (t^8.85*y)/g1^20 + (2*t^8.88*y)/g1^16 + (3*t^8.94*y)/g1^8 + (3*t^8.97*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6044 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{9}$ | 0.6944 | 0.8519 | 0.8151 | [M:[1.008, 0.976, 1.024, 0.9601, 1.0399, 1.0399, 0.992, 0.9441, 0.976], q:[0.504, 0.488], qb:[0.4721, 0.5519], phi:[0.496]] | t^2.832 + 2*t^2.928 + 2*t^2.976 + 2*t^3.12 + t^4.32 + t^4.368 + 2*t^4.416 + t^4.464 + t^4.512 + t^4.56 + t^4.608 + t^4.656 + t^4.799 + t^5.665 + t^5.76 + t^5.808 + 2*t^5.856 + 3*t^5.904 + 3*t^5.952 - 4*t^6. - t^4.488/y - t^4.488*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 |
---|---|---|---|---|---|---|---|---|---|
2511 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6916 | 0.8487 | 0.8149 | [M:[0.9982, 1.0054, 0.9946, 1.009, 0.991, 0.991, 1.0018], q:[0.4991, 0.5027], qb:[0.5063, 0.4883], phi:[0.5009]] | t^2.962 + 2*t^2.973 + t^2.984 + 2*t^3.005 + t^3.016 + t^4.433 + t^4.465 + t^4.476 + t^4.487 + t^4.497 + t^4.508 + 2*t^4.519 + t^4.53 + t^4.54 + t^5.924 + 2*t^5.935 + 3*t^5.946 + t^5.957 + 2*t^5.968 + 4*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail |