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 |
---|---|---|---|---|---|---|---|---|---|
47033 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7476 | 0.931 | 0.803 | [M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, 2], [0, 2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$ | -3 | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. + 2*t^6.196 - 4*t^6.373 + 6*t^6.568 - 2*t^6.745 + 4*t^6.764 + 12*t^6.941 + 9*t^7.137 + 13*t^7.314 + 16*t^7.51 + 6*t^7.686 + 13*t^7.882 - 3*t^8.059 - 4*t^8.255 - 4*t^8.432 + 3*t^8.451 - 16*t^8.627 - 2*t^8.804 + 10*t^8.823 - t^4.314/y - (2*t^6.568)/y - (3*t^6.941)/y + t^7.51/y + (3*t^7.686)/y + (6*t^7.882)/y + (2*t^8.059)/y + (7*t^8.255)/y + (6*t^8.627)/y - (3*t^8.823)/y - t^4.314*y - 2*t^6.568*y - 3*t^6.941*y + t^7.51*y + 3*t^7.686*y + 6*t^7.882*y + 2*t^8.059*y + 7*t^8.255*y + 6*t^8.627*y - 3*t^8.823*y | (g2^3*t^2.255)/g1 + g1*g2^5*t^2.255 + 3*g2^2*t^2.627 + t^3./(g1*g2) + g1*g2*t^3. + g2^3*t^3.941 + t^4.314/g1 + g1*g2^2*t^4.314 + (g2^6*t^4.51)/g1^2 + g2^8*t^4.51 + g1^2*g2^10*t^4.51 + t^4.686/(g1^2*g2^3) + (2*t^4.686)/g2 + g1^2*g2*t^4.686 + (3*g2^5*t^4.882)/g1 + 3*g1*g2^7*t^4.882 + t^5.059/(g1*g2^4) + (g1*t^5.059)/g2^2 + (g2^2*t^5.255)/g1^2 + 7*g2^4*t^5.255 + g1^2*g2^6*t^5.255 + t^5.432/g2^5 + (g2*t^5.627)/g1 + g1*g2^3*t^5.627 - 3*t^6. + (g2^6*t^6.196)/g1 + g1*g2^8*t^6.196 - (2*t^6.373)/(g1*g2^3) - (2*g1*t^6.373)/g2 + (g2^3*t^6.568)/g1^2 + 4*g2^5*t^6.568 + g1^2*g2^7*t^6.568 - (2*t^6.745)/g2^4 + (g2^9*t^6.764)/g1^3 + (g2^11*t^6.764)/g1 + g1*g2^13*t^6.764 + g1^3*g2^15*t^6.764 + t^6.941/g1^3 + (5*g2^2*t^6.941)/g1 + 5*g1*g2^4*t^6.941 + g1^3*g2^6*t^6.941 + (3*g2^8*t^7.137)/g1^2 + 3*g2^10*t^7.137 + 3*g1^2*g2^12*t^7.137 + (4*t^7.314)/(g1^2*g2) + 5*g2*t^7.314 + 4*g1^2*g2^3*t^7.314 + (g2^5*t^7.51)/g1^3 + (7*g2^7*t^7.51)/g1 + 7*g1*g2^9*t^7.51 + g1^3*g2^11*t^7.51 + 2*g1*t^7.686 + t^7.686/(g1^3*g2^4) + (2*t^7.686)/(g1*g2^2) + g1^3*g2^2*t^7.686 + (g2^4*t^7.882)/g1^2 + 11*g2^6*t^7.882 + g1^2*g2^8*t^7.882 - t^8.059/(g1^2*g2^5) - t^8.059/g2^3 - (g1^2*t^8.059)/g2 - (2*g2^3*t^8.255)/g1 - 2*g1*g2^5*t^8.255 - (2*t^8.432)/(g1*g2^6) - (2*g1*t^8.432)/g2^4 + (g2^9*t^8.451)/g1^2 + g2^11*t^8.451 + g1^2*g2^13*t^8.451 - (2*t^8.627)/g1^2 - 12*g2^2*t^8.627 - 2*g1^2*g2^4*t^8.627 - (2*t^8.804)/g2^7 + (g2^6*t^8.823)/g1^3 + (4*g2^8*t^8.823)/g1 + 4*g1*g2^10*t^8.823 + g1^3*g2^12*t^8.823 - (g2*t^4.314)/y - (g2^4*t^6.568)/(g1*y) - (g1*g2^6*t^6.568)/y - (3*g2^3*t^6.941)/y + (g2^8*t^7.51)/y + (3*t^7.686)/(g2*y) + (3*g2^5*t^7.882)/(g1*y) + (3*g1*g2^7*t^7.882)/y + t^8.059/(g1*g2^4*y) + (g1*t^8.059)/(g2^2*y) + (g2^2*t^8.255)/(g1^2*y) + (5*g2^4*t^8.255)/y + (g1^2*g2^6*t^8.255)/y + (3*g2*t^8.627)/(g1*y) + (3*g1*g2^3*t^8.627)/y - (g2^7*t^8.823)/(g1^2*y) - (g2^9*t^8.823)/y - (g1^2*g2^11*t^8.823)/y - g2*t^4.314*y - (g2^4*t^6.568*y)/g1 - g1*g2^6*t^6.568*y - 3*g2^3*t^6.941*y + g2^8*t^7.51*y + (3*t^7.686*y)/g2 + (3*g2^5*t^7.882*y)/g1 + 3*g1*g2^7*t^7.882*y + (t^8.059*y)/(g1*g2^4) + (g1*t^8.059*y)/g2^2 + (g2^2*t^8.255*y)/g1^2 + 5*g2^4*t^8.255*y + g1^2*g2^6*t^8.255*y + (3*g2*t^8.627*y)/g1 + 3*g1*g2^3*t^8.627*y - (g2^7*t^8.823*y)/g1^2 - g2^9*t^8.823*y - g1^2*g2^11*t^8.823*y |
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 |
---|---|---|---|---|---|---|---|---|
50829 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.7097 | 0.8751 | 0.811 | [M:[0.8326, 1.0, 1.0837, 0.9163, 0.9582, 0.9582], q:[0.5628, 0.6046], qb:[0.4372, 0.4791], phi:[0.4791]] | t^2.498 + t^2.749 + 3*t^2.874 + t^3. + t^3.251 + t^4.061 + t^4.186 + t^4.312 + t^4.437 + 2*t^4.563 + t^4.688 + t^4.814 + t^4.939 + t^4.996 + t^5.065 + t^5.247 + 3*t^5.372 + t^5.498 + t^5.623 + 7*t^5.749 + t^5.874 - 2*t^6. - t^4.437/y - t^4.437*y | detail | |
55308 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7683 | 0.9711 | 0.7912 | [M:[0.7551, 0.7551, 1.0, 1.0, 0.8775, 0.8775, 0.6837], q:[0.6837, 0.5612], qb:[0.5612, 0.4388], phi:[0.4388]] | t^2.051 + 2*t^2.265 + 3*t^2.633 + 2*t^3. + t^4.102 + 4*t^4.316 + 3*t^4.53 + 7*t^4.684 + 6*t^4.898 + 4*t^5.051 + 9*t^5.265 + t^5.419 + 2*t^5.633 - 3*t^6. - t^4.316/y - t^4.316*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 |
---|---|---|---|---|---|---|---|---|---|
46521 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7369 | 0.9109 | 0.809 | [M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | 2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. - t^4.329/y - t^4.329*y | detail |