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 |
---|---|---|---|---|---|---|---|---|---|
56390 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7064 | 0.8722 | 0.8098 | [M:[1.0559, 0.8882, 0.9441, 1.0559, 1.0, 0.9441, 0.8882], q:[0.5279, 0.4162], qb:[0.5838, 0.5279], phi:[0.486]] | [M:[[4], [-8], [-4], [4], [0], [-4], [-8]], q:[[2], [-6]], qb:[[6], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}M_{6}$ | -3 | 2*t^2.665 + 2*t^2.832 + t^2.916 + t^3. + t^3.168 + t^3.955 + 2*t^4.29 + t^4.458 + 3*t^4.626 + 2*t^4.793 + t^4.961 + 3*t^5.329 + 3*t^5.497 + 2*t^5.581 + 3*t^5.665 + 2*t^5.748 + 3*t^5.832 + t^5.916 - 3*t^6. + t^6.084 - 2*t^6.168 - t^6.335 - t^6.503 + 2*t^6.62 + 2*t^6.787 + t^6.871 + 4*t^6.955 - t^7.039 + 4*t^7.123 + 2*t^7.207 + 6*t^7.29 - t^7.374 + 6*t^7.458 + 2*t^7.542 + 3*t^7.626 - t^7.71 + 3*t^7.793 - t^7.877 + t^7.91 + 4*t^7.994 - t^8.045 + 4*t^8.162 + 5*t^8.245 + 3*t^8.329 + 4*t^8.413 + 5*t^8.497 + 6*t^8.581 - 5*t^8.665 + 5*t^8.748 - 9*t^8.832 + 2*t^8.916 - t^4.458/y - (2*t^7.123)/y - t^7.374/y + t^7.542/y + (2*t^7.793)/y + t^8.329/y + (4*t^8.497)/y + (2*t^8.581)/y + (3*t^8.665)/y + (2*t^8.748)/y + (4*t^8.832)/y + t^8.916/y - t^4.458*y - 2*t^7.123*y - t^7.374*y + t^7.542*y + 2*t^7.793*y + t^8.329*y + 4*t^8.497*y + 2*t^8.581*y + 3*t^8.665*y + 2*t^8.748*y + 4*t^8.832*y + t^8.916*y | (2*t^2.665)/g1^8 + (2*t^2.832)/g1^4 + t^2.916/g1^2 + t^3. + g1^4*t^3.168 + t^3.955/g1^13 + (2*t^4.29)/g1^5 + t^4.458/g1 + 3*g1^3*t^4.626 + 2*g1^7*t^4.793 + g1^11*t^4.961 + (3*t^5.329)/g1^16 + (3*t^5.497)/g1^12 + (2*t^5.581)/g1^10 + (3*t^5.665)/g1^8 + (2*t^5.748)/g1^6 + (3*t^5.832)/g1^4 + t^5.916/g1^2 - 3*t^6. + g1^2*t^6.084 - 2*g1^4*t^6.168 - g1^8*t^6.335 - g1^12*t^6.503 + (2*t^6.62)/g1^21 + (2*t^6.787)/g1^17 + t^6.871/g1^15 + (4*t^6.955)/g1^13 - t^7.039/g1^11 + (4*t^7.123)/g1^9 + (2*t^7.207)/g1^7 + (6*t^7.29)/g1^5 - t^7.374/g1^3 + (6*t^7.458)/g1 + 2*g1*t^7.542 + 3*g1^3*t^7.626 - g1^5*t^7.71 + 3*g1^7*t^7.793 - g1^9*t^7.877 + t^7.91/g1^26 + (4*t^7.994)/g1^24 - g1^13*t^8.045 + (4*t^8.162)/g1^20 + (5*t^8.245)/g1^18 + (3*t^8.329)/g1^16 + (4*t^8.413)/g1^14 + (5*t^8.497)/g1^12 + (6*t^8.581)/g1^10 - (5*t^8.665)/g1^8 + (5*t^8.748)/g1^6 - (9*t^8.832)/g1^4 + (2*t^8.916)/g1^2 - t^4.458/(g1*y) - (2*t^7.123)/(g1^9*y) - t^7.374/(g1^3*y) + (g1*t^7.542)/y + (2*g1^7*t^7.793)/y + t^8.329/(g1^16*y) + (4*t^8.497)/(g1^12*y) + (2*t^8.581)/(g1^10*y) + (3*t^8.665)/(g1^8*y) + (2*t^8.748)/(g1^6*y) + (4*t^8.832)/(g1^4*y) + t^8.916/(g1^2*y) - (t^4.458*y)/g1 - (2*t^7.123*y)/g1^9 - (t^7.374*y)/g1^3 + g1*t^7.542*y + 2*g1^7*t^7.793*y + (t^8.329*y)/g1^16 + (4*t^8.497*y)/g1^12 + (2*t^8.581*y)/g1^10 + (3*t^8.665*y)/g1^8 + (2*t^8.748*y)/g1^6 + (4*t^8.832*y)/g1^4 + (t^8.916*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 |
---|---|---|---|---|---|---|---|---|
58683 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.712 | 0.8834 | 0.8059 | [M:[1.0648, 0.8705, 0.9352, 1.0648, 1.0, 0.9352, 0.8705, 0.9352], q:[0.5324, 0.4029], qb:[0.5971, 0.5324], phi:[0.4838]] | 2*t^2.611 + 3*t^2.806 + t^2.903 + t^3. + t^3.869 + 2*t^4.257 + t^4.451 + 3*t^4.646 + 2*t^4.84 + t^5.034 + 3*t^5.223 + 5*t^5.417 + 2*t^5.514 + 6*t^5.611 + 3*t^5.709 + 2*t^5.806 + t^5.903 - 5*t^6. - t^4.451/y - t^4.451*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 |
---|---|---|---|---|---|---|---|---|---|
52098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ | 0.6978 | 0.8558 | 0.8154 | [M:[1.0378, 0.9244, 0.9622, 1.0378, 1.0, 0.9622], q:[0.5189, 0.4433], qb:[0.5567, 0.5189], phi:[0.4906]] | t^2.773 + 2*t^2.887 + t^2.943 + t^3. + t^3.113 + t^3.227 + t^4.131 + 2*t^4.358 + t^4.472 + 3*t^4.585 + 2*t^4.698 + t^4.812 + t^5.546 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + t^5.943 - 2*t^6. - t^4.472/y - t^4.472*y | detail |