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 |
---|---|---|---|---|---|---|---|---|---|
125 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7382 | 0.8885 | 0.8308 | [M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | [M:[[-2, -2], [-2, -2]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -4 | 3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. + 9*t^7.135 + 15*t^7.216 + 10*t^7.297 + 15*t^8.351 - 14*t^8.432 - t^4.216/y - (3*t^6.649)/y + (3*t^7.784)/y + (3*t^7.865)/y - t^4.216*y - 3*t^6.649*y + 3*t^7.784*y + 3*t^7.865*y | (3*t^2.432)/(g1^2*g2^2) + g1^4*t^3.568 + 2*g1^2*g2^2*t^3.568 + g2^4*t^3.568 + (3*g1^3*t^4.784)/g2 + 4*g1*g2*t^4.784 + (3*g2^3*t^4.784)/g1 + (6*t^4.865)/(g1^4*g2^4) - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + g1^8*t^7.135 + 2*g1^6*g2^2*t^7.135 + 3*g1^4*g2^4*t^7.135 + 2*g1^2*g2^6*t^7.135 + g2^8*t^7.135 + (5*g1*t^7.216)/g2^3 + (5*t^7.216)/(g1*g2) + (5*g2*t^7.216)/g1^3 + (10*t^7.297)/(g1^6*g2^6) + (3*g1^7*t^8.351)/g2 + 3*g1^5*g2*t^8.351 + 3*g1^3*g2^3*t^8.351 + 3*g1*g2^5*t^8.351 + (3*g2^7*t^8.351)/g1 - (3*t^8.432)/g1^4 - (3*t^8.432)/g2^4 - (8*t^8.432)/(g1^2*g2^2) - t^4.216/(g1*g2*y) - (3*t^6.649)/(g1^3*g2^3*y) + (3*g1*g2*t^7.784)/y + (3*t^7.865)/(g1^4*g2^4*y) - (t^4.216*y)/(g1*g2) - (3*t^6.649*y)/(g1^3*g2^3) + 3*g1*g2*t^7.784*y + (3*t^7.865*y)/(g1^4*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
205 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.7556 | 0.9204 | 0.821 | [M:[0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - t^4.191/y - t^4.191*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 |
---|---|---|---|---|---|---|---|---|---|
79 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.7394 | 0.8922 | 0.8287 | [M:[0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y | detail |