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 |
---|---|---|---|---|---|---|---|---|---|
56388 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6961 | 0.8529 | 0.8162 | [M:[1.0326, 0.9347, 0.9674, 1.0326, 1.0, 0.9674, 1.0163], q:[0.5163, 0.4511], qb:[0.5489, 0.5163], phi:[0.4918]] | [M:[[4], [-8], [-4], [4], [0], [-4], [2]], q:[[2], [-6]], qb:[[6], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$ | ${}M_{4}M_{6}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.804 + 2*t^2.902 + t^3. + t^3.049 + t^3.098 + t^3.196 + t^4.182 + 2*t^4.378 + t^4.476 + 3*t^4.573 + 2*t^4.671 + t^4.769 + t^5.608 + t^5.706 + 2*t^5.804 + t^5.853 + t^5.902 + 2*t^5.951 - 2*t^6. + t^6.049 + t^6.098 + t^6.147 + t^6.245 + t^6.392 + t^6.986 + 2*t^7.084 + 2*t^7.182 + 3*t^7.28 + 4*t^7.378 + 4*t^7.476 + 4*t^7.573 + 4*t^7.671 + 3*t^7.769 + 2*t^7.867 + t^7.965 + t^8.364 + t^8.413 + t^8.511 + 2*t^8.56 + 2*t^8.657 + t^8.706 + 4*t^8.755 - 3*t^8.804 + 4*t^8.853 - 6*t^8.902 + 6*t^8.951 - t^4.476/y - t^7.28/y + t^7.671/y + (2*t^8.706)/y + (2*t^8.804)/y + t^8.853/y + (3*t^8.902)/y + (2*t^8.951)/y - t^4.476*y - t^7.28*y + t^7.671*y + 2*t^8.706*y + 2*t^8.804*y + t^8.853*y + 3*t^8.902*y + 2*t^8.951*y | t^2.804/g1^8 + (2*t^2.902)/g1^4 + t^3. + g1^2*t^3.049 + g1^4*t^3.098 + g1^8*t^3.196 + t^4.182/g1^13 + (2*t^4.378)/g1^5 + t^4.476/g1 + 3*g1^3*t^4.573 + 2*g1^7*t^4.671 + g1^11*t^4.769 + t^5.608/g1^16 + t^5.706/g1^12 + (2*t^5.804)/g1^8 + t^5.853/g1^6 + t^5.902/g1^4 + (2*t^5.951)/g1^2 - 2*t^6. + g1^2*t^6.049 + g1^4*t^6.098 + g1^6*t^6.147 + g1^10*t^6.245 + g1^16*t^6.392 + t^6.986/g1^21 + (2*t^7.084)/g1^17 + (2*t^7.182)/g1^13 + (3*t^7.28)/g1^9 + (4*t^7.378)/g1^5 + (4*t^7.476)/g1 + 4*g1^3*t^7.573 + 4*g1^7*t^7.671 + 3*g1^11*t^7.769 + 2*g1^15*t^7.867 + g1^19*t^7.965 + t^8.364/g1^26 + t^8.413/g1^24 + t^8.511/g1^20 + (2*t^8.56)/g1^18 + (2*t^8.657)/g1^14 + t^8.706/g1^12 + (4*t^8.755)/g1^10 - (3*t^8.804)/g1^8 + (4*t^8.853)/g1^6 - (6*t^8.902)/g1^4 + (6*t^8.951)/g1^2 - t^4.476/(g1*y) - t^7.28/(g1^9*y) + (g1^7*t^7.671)/y + (2*t^8.706)/(g1^12*y) + (2*t^8.804)/(g1^8*y) + t^8.853/(g1^6*y) + (3*t^8.902)/(g1^4*y) + (2*t^8.951)/(g1^2*y) - (t^4.476*y)/g1 - (t^7.28*y)/g1^9 + g1^7*t^7.671*y + (2*t^8.706*y)/g1^12 + (2*t^8.804*y)/g1^8 + (t^8.853*y)/g1^6 + (3*t^8.902*y)/g1^4 + (2*t^8.951*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 |
---|---|---|---|---|---|---|---|---|
58862 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.6936 | 0.8488 | 0.8171 | [M:[1.0222, 0.9556, 0.9778, 1.0222, 1.0, 0.9778, 1.0111, 1.0222], q:[0.5111, 0.4667], qb:[0.5333, 0.5111], phi:[0.4945]] | t^2.867 + t^2.933 + t^3. + t^3.033 + 2*t^3.067 + t^3.133 + t^4.284 + 2*t^4.417 + t^4.483 + 3*t^4.55 + 2*t^4.616 + t^4.683 + t^5.734 + t^5.9 + t^5.933 + t^5.967 - 2*t^6. - t^4.483/y - t^4.483*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 |