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 |
---|---|---|---|---|---|---|---|---|---|
1053 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6827 | 0.8534 | 0.8 | [M:[0.8464, 1.1536, 0.9625, 0.7304, 0.8464, 0.8464], q:[0.7884, 0.4812], qb:[0.6723, 0.3652], phi:[0.4232]] | [M:[[-4], [4], [-14], [6], [-4], [-4]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 1 | t^2.191 + 4*t^2.539 + t^2.887 + t^3.461 + t^3.809 + t^4.157 + 3*t^4.382 + 5*t^4.73 + 10*t^5.079 + t^5.304 + 3*t^5.427 + t^5.775 + t^6. + 2*t^6.348 + 2*t^6.573 + 4*t^6.696 + 7*t^6.921 + t^7.044 + 11*t^7.27 + t^7.495 + 18*t^7.618 + 2*t^7.843 + 8*t^7.966 - 5*t^8.191 + 4*t^8.314 - 5*t^8.539 + t^8.662 + 3*t^8.764 + t^8.887 - t^4.27/y - t^6.461/y - (3*t^6.809)/y - t^7.157/y + t^7.382/y + (7*t^7.73)/y + (8*t^8.079)/y + (4*t^8.427)/y - t^4.27*y - t^6.461*y - 3*t^6.809*y - t^7.157*y + t^7.382*y + 7*t^7.73*y + 8*t^8.079*y + 4*t^8.427*y | g1^6*t^2.191 + (4*t^2.539)/g1^4 + t^2.887/g1^14 + g1^4*t^3.461 + t^3.809/g1^6 + t^4.157/g1^16 + 3*g1^12*t^4.382 + 5*g1^2*t^4.73 + (10*t^5.079)/g1^8 + g1^20*t^5.304 + (3*t^5.427)/g1^18 + t^5.775/g1^28 + t^6. + (2*t^6.348)/g1^10 + 2*g1^18*t^6.573 + (4*t^6.696)/g1^20 + 7*g1^8*t^6.921 + t^7.044/g1^30 + (11*t^7.27)/g1^2 + g1^26*t^7.495 + (18*t^7.618)/g1^12 + 2*g1^16*t^7.843 + (8*t^7.966)/g1^22 - 5*g1^6*t^8.191 + (4*t^8.314)/g1^32 - (5*t^8.539)/g1^4 + t^8.662/g1^42 + 3*g1^24*t^8.764 + t^8.887/g1^14 - t^4.27/(g1^2*y) - (g1^4*t^6.461)/y - (3*t^6.809)/(g1^6*y) - t^7.157/(g1^16*y) + (g1^12*t^7.382)/y + (7*g1^2*t^7.73)/y + (8*t^8.079)/(g1^8*y) + (4*t^8.427)/(g1^18*y) - (t^4.27*y)/g1^2 - g1^4*t^6.461*y - (3*t^6.809*y)/g1^6 - (t^7.157*y)/g1^16 + g1^12*t^7.382*y + 7*g1^2*t^7.73*y + (8*t^8.079*y)/g1^8 + (4*t^8.427*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
1639 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7025 | 0.89 | 0.7893 | [M:[0.849, 1.151, 0.9714, 0.7265, 0.849, 0.849, 0.7265], q:[0.7878, 0.4857], qb:[0.6653, 0.3633], phi:[0.4245]] | 2*t^2.18 + 4*t^2.547 + t^2.914 + t^3.453 + t^4.188 + 5*t^4.359 + 9*t^4.727 + 11*t^5.094 + t^5.265 + 3*t^5.461 + t^5.633 + t^5.828 - t^4.273/y - t^4.273*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 |
---|---|---|---|---|---|---|---|---|---|
661 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6695 | 0.8304 | 0.8062 | [M:[0.8506, 1.1494, 0.977, 0.7241, 0.8506], q:[0.7874, 0.4885], qb:[0.6609, 0.3621], phi:[0.4253]] | t^2.172 + 3*t^2.552 + t^2.931 + 2*t^3.448 + t^3.828 + t^4.207 + 3*t^4.345 + 4*t^4.724 + 6*t^5.104 + t^5.241 + 2*t^5.483 + t^5.621 + t^5.862 + 3*t^6. - t^4.276/y - t^4.276*y | detail |