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 |
---|---|---|---|---|---|---|---|---|---|
55379 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7342 | 0.9146 | 0.8027 | [M:[0.9754, 1.0, 1.0246, 0.8619, 0.8374, 1.069, 0.6726], q:[0.431, 0.5936], qb:[0.569, 0.5445], phi:[0.4655]] | [M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [2, 0], [5, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.018 + t^2.512 + t^2.586 + t^2.926 + t^3. + t^3.074 + t^3.207 + t^3.341 + t^4.036 + t^4.323 + t^4.396 + t^4.47 + t^4.53 + t^4.604 + t^4.663 + t^4.737 + 2*t^4.811 + t^4.884 + t^4.944 + t^4.958 + t^5.018 + t^5.024 + t^5.092 + t^5.098 + t^5.171 + t^5.225 + t^5.358 + t^5.438 + t^5.512 + t^5.586 + t^5.719 + t^5.793 + t^5.853 - 2*t^6. + t^6.054 - t^6.074 + t^6.133 + t^6.207 + t^6.267 + t^6.281 + t^6.341 + t^6.414 + 2*t^6.548 + t^6.621 + 2*t^6.681 + t^6.755 + 2*t^6.829 + t^6.835 + t^6.902 + t^6.908 + t^6.962 + t^6.976 + t^6.982 + t^7.036 + t^7.042 + t^7.109 + t^7.116 + t^7.175 + t^7.243 + 2*t^7.249 + 2*t^7.323 + t^7.376 + 2*t^7.396 + t^7.456 + t^7.47 + t^7.53 + t^7.536 + t^7.544 + t^7.59 + t^7.604 + t^7.61 + 2*t^7.663 + t^7.684 + 3*t^7.737 + t^7.757 + 2*t^7.811 + t^7.871 + t^7.884 + t^7.95 + t^7.958 + t^8.004 - 2*t^8.018 + t^8.024 + t^8.032 + t^8.071 + t^8.078 - t^8.092 + t^8.098 + 2*t^8.151 + t^8.225 + t^8.231 + t^8.285 + t^8.299 + t^8.305 + t^8.358 + t^8.365 + t^8.379 + t^8.432 - 3*t^8.512 + 2*t^8.566 - 4*t^8.586 + t^8.639 + t^8.646 - 2*t^8.659 + 2*t^8.699 + t^8.719 + t^8.773 + t^8.779 + t^8.793 + 2*t^8.846 + t^8.92 - 3*t^8.926 + t^8.98 + t^8.986 + t^8.994 - t^4.396/y - t^6.414/y - t^6.908/y - t^6.982/y + t^7.53/y + t^7.604/y + t^7.811/y + t^7.884/y + t^7.944/y + t^8.018/y + t^8.092/y + t^8.098/y + t^8.225/y + t^8.358/y + t^8.379/y - t^8.432/y + t^8.438/y + (2*t^8.512)/y + (2*t^8.586)/y + t^8.659/y + t^8.719/y + t^8.793/y + t^8.853/y + t^8.926/y - t^4.396*y - t^6.414*y - t^6.908*y - t^6.982*y + t^7.53*y + t^7.604*y + t^7.811*y + t^7.884*y + t^7.944*y + t^8.018*y + t^8.092*y + t^8.098*y + t^8.225*y + t^8.358*y + t^8.379*y - t^8.432*y + t^8.438*y + 2*t^8.512*y + 2*t^8.586*y + t^8.659*y + t^8.719*y + t^8.793*y + t^8.853*y + t^8.926*y | g1^5*t^2.018 + (g2*t^2.512)/g1^6 + t^2.586/g1^4 + (g2*t^2.926)/g1^2 + t^3. + (g1^2*t^3.074)/g2 + g1^2*t^3.207 + g1^2*g2*t^3.341 + g1^10*t^4.036 + (g2*t^4.323)/g1^3 + t^4.396/g1 + (g1*t^4.47)/g2 + (g2*t^4.53)/g1 + g1*t^4.604 + (g2^2*t^4.663)/g1 + g1*g2*t^4.737 + 2*g1^3*t^4.811 + (g1^5*t^4.884)/g2 + g1^3*g2*t^4.944 + (g1^7*t^4.958)/g2^2 + g1^5*t^5.018 + (g2^2*t^5.024)/g1^12 + (g1^7*t^5.092)/g2 + (g2*t^5.098)/g1^10 + t^5.171/g1^8 + g1^7*t^5.225 + g1^7*g2*t^5.358 + (g2^2*t^5.438)/g1^8 + (g2*t^5.512)/g1^6 + t^5.586/g1^4 + (g2*t^5.719)/g1^4 + t^5.793/g1^2 + (g2^2*t^5.853)/g1^4 - 2*t^6. + g1^15*t^6.054 - (g1^2*t^6.074)/g2 + g2*t^6.133 + g1^2*t^6.207 + g2^2*t^6.267 + (g1^4*t^6.281)/g2 + g1^2*g2*t^6.341 + g1^4*t^6.414 + 2*g1^4*g2*t^6.548 + g1^6*t^6.621 + 2*g1^4*g2^2*t^6.681 + g1^6*g2*t^6.755 + 2*g1^8*t^6.829 + (g2^2*t^6.835)/g1^9 + (g1^10*t^6.902)/g2 + (g2*t^6.908)/g1^7 + g1^8*g2*t^6.962 + (g1^12*t^6.976)/g2^2 + t^6.982/g1^5 + g1^10*t^7.036 + (g2^2*t^7.042)/g1^7 + (g1^12*t^7.109)/g2 + (g2*t^7.116)/g1^5 + (g2^3*t^7.175)/g1^7 + g1^12*t^7.243 + (2*g2^2*t^7.249)/g1^5 + (2*g2*t^7.323)/g1^3 + g1^12*g2*t^7.376 + (2*t^7.396)/g1 + (g2^2*t^7.456)/g1^3 + (g1*t^7.47)/g2 + (g2*t^7.53)/g1 + (g2^3*t^7.536)/g1^18 + (g1^3*t^7.544)/g2^2 + (g2^3*t^7.59)/g1^3 + g1*t^7.604 + (g2^2*t^7.61)/g1^16 + (2*g2^2*t^7.663)/g1 + (g2*t^7.684)/g1^14 + 3*g1*g2*t^7.737 + t^7.757/g1^12 + 2*g1^3*t^7.811 + g1*g2^2*t^7.871 + (g1^5*t^7.884)/g2 + (g2^3*t^7.95)/g1^14 + (g1^7*t^7.958)/g2^2 + g1*g2^3*t^8.004 - 2*g1^5*t^8.018 + (g2^2*t^8.024)/g1^12 + (g1^9*t^8.032)/g2^3 + g1^20*t^8.071 + g1^3*g2^2*t^8.078 - (g1^7*t^8.092)/g2 + (g2*t^8.098)/g1^10 + 2*g1^5*g2*t^8.151 + g1^7*t^8.225 + (g2^2*t^8.231)/g1^10 + g1^5*g2^2*t^8.285 + (g1^9*t^8.299)/g2 + (g2*t^8.305)/g1^8 + g1^7*g2*t^8.358 + (g2^3*t^8.365)/g1^10 + t^8.379/g1^6 + g1^9*t^8.432 - (3*g2*t^8.512)/g1^6 + 2*g1^9*g2*t^8.566 - (4*t^8.586)/g1^4 + g1^11*t^8.639 + (g2^2*t^8.646)/g1^6 - (2*t^8.659)/(g1^2*g2) + 2*g1^9*g2^2*t^8.699 + (g2*t^8.719)/g1^4 + g1^11*g2*t^8.773 + (g2^3*t^8.779)/g1^6 + t^8.793/g1^2 + 2*g1^13*t^8.846 + (g1^15*t^8.92)/g2 - (3*g2*t^8.926)/g1^2 + g1^13*g2*t^8.98 + (g2^3*t^8.986)/g1^4 + (g1^17*t^8.994)/g2^2 - t^4.396/(g1*y) - (g1^4*t^6.414)/y - (g2*t^6.908)/(g1^7*y) - t^6.982/(g1^5*y) + (g2*t^7.53)/(g1*y) + (g1*t^7.604)/y + (g1^3*t^7.811)/y + (g1^5*t^7.884)/(g2*y) + (g1^3*g2*t^7.944)/y + (g1^5*t^8.018)/y + (g1^7*t^8.092)/(g2*y) + (g2*t^8.098)/(g1^10*y) + (g1^7*t^8.225)/y + (g1^7*g2*t^8.358)/y + t^8.379/(g1^6*y) - (g1^9*t^8.432)/y + (g2^2*t^8.438)/(g1^8*y) + (2*g2*t^8.512)/(g1^6*y) + (2*t^8.586)/(g1^4*y) + t^8.659/(g1^2*g2*y) + (g2*t^8.719)/(g1^4*y) + t^8.793/(g1^2*y) + (g2^2*t^8.853)/(g1^4*y) + (g2*t^8.926)/(g1^2*y) - (t^4.396*y)/g1 - g1^4*t^6.414*y - (g2*t^6.908*y)/g1^7 - (t^6.982*y)/g1^5 + (g2*t^7.53*y)/g1 + g1*t^7.604*y + g1^3*t^7.811*y + (g1^5*t^7.884*y)/g2 + g1^3*g2*t^7.944*y + g1^5*t^8.018*y + (g1^7*t^8.092*y)/g2 + (g2*t^8.098*y)/g1^10 + g1^7*t^8.225*y + g1^7*g2*t^8.358*y + (t^8.379*y)/g1^6 - g1^9*t^8.432*y + (g2^2*t^8.438*y)/g1^8 + (2*g2*t^8.512*y)/g1^6 + (2*t^8.586*y)/g1^4 + (t^8.659*y)/(g1^2*g2) + (g2*t^8.719*y)/g1^4 + (t^8.793*y)/g1^2 + (g2^2*t^8.853*y)/g1^4 + (g2*t^8.926*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 |
---|---|---|---|---|---|---|---|---|
56991 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.7333 | 0.912 | 0.804 | [M:[1.0053, 1.0, 0.9947, 0.8598, 0.8651, 1.0701, 0.6753, 0.9947], q:[0.4299, 0.5648], qb:[0.5701, 0.5754], phi:[0.4649]] | t^2.026 + t^2.579 + t^2.595 + 2*t^2.984 + t^3. + t^3.21 + t^3.437 + t^4.052 + t^4.379 + t^4.395 + t^4.411 + t^4.605 + t^4.621 + t^4.784 + t^4.8 + 2*t^4.816 + t^4.831 + t^4.847 + 2*t^5.01 + t^5.026 + t^5.159 + t^5.175 + t^5.19 + t^5.236 + t^5.462 + t^5.563 + 2*t^5.579 + t^5.79 + t^5.806 + 2*t^5.968 - 3*t^6. - t^4.395/y - t^4.395*y | detail | |
56990 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.7015 | 0.8716 | 0.8048 | [M:[0.9914, 1.0, 1.0086, 0.7143, 0.7057, 1.1429, 0.8571], q:[0.3571, 0.6514], qb:[0.6429, 0.6343], phi:[0.4286]] | t^2.117 + t^2.143 + t^2.571 + t^2.974 + t^3. + t^3.026 + t^3.429 + t^3.831 + t^4.234 + 2*t^4.26 + 2*t^4.286 + t^4.311 + t^4.689 + t^4.714 + 2*t^5.091 + 2*t^5.117 + 4*t^5.143 + t^5.169 + t^5.194 + 2*t^5.546 + 2*t^5.571 + t^5.597 + t^5.949 - t^6. - t^4.286/y - t^4.286*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 |
---|---|---|---|---|---|---|---|---|---|
46965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7134 | 0.8733 | 0.8168 | [M:[0.9756, 1.0, 1.0244, 0.86, 0.8356, 1.07], q:[0.43, 0.5944], qb:[0.57, 0.5455], phi:[0.465]] | t^2.507 + t^2.58 + t^2.927 + t^3. + t^3.073 + t^3.21 + t^3.347 + t^3.975 + t^4.322 + t^4.395 + t^4.468 + t^4.668 + t^4.742 + 2*t^4.815 + t^4.888 + t^4.962 + t^5.014 + t^5.087 + t^5.16 + t^5.433 + t^5.507 + t^5.58 + t^5.717 + t^5.79 + t^5.853 - 2*t^6. - t^4.395/y - t^4.395*y | detail |