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 |
---|---|---|---|---|---|---|---|---|---|
46473 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5537 | 0.7053 | 0.7851 | [M:[0.8507, 1.1493, 0.7239, 0.9776], q:[1.0224, 0.5522], qb:[0.2985, 0.4254], phi:[0.4254]] | [M:[[2], [-2], [-3], [7]], q:[[-7], [6]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{2}$ | -2 | 2*t^2.172 + 2*t^2.552 + 2*t^2.933 + t^3.448 + t^3.963 + 4*t^4.343 + 5*t^4.724 + 6*t^5.104 + 3*t^5.485 + t^5.62 + 3*t^5.865 - 2*t^6. + 2*t^6.135 - t^6.38 + 6*t^6.515 - t^6.761 + 8*t^6.896 + 10*t^7.276 + 8*t^7.657 - t^7.791 + t^7.926 + 8*t^8.037 - 8*t^8.172 + 4*t^8.306 + 4*t^8.418 - 8*t^8.552 + 9*t^8.687 + 4*t^8.798 - 10*t^8.933 - t^4.276/y - t^6.448/y - t^6.828/y - t^7.209/y + (2*t^7.343)/y + (5*t^7.724)/y + (6*t^8.104)/y + (4*t^8.485)/y + t^8.62/y + t^8.865/y - t^4.276*y - t^6.448*y - t^6.828*y - t^7.209*y + 2*t^7.343*y + 5*t^7.724*y + 6*t^8.104*y + 4*t^8.485*y + t^8.62*y + t^8.865*y | (2*t^2.172)/g1^3 + 2*g1^2*t^2.552 + 2*g1^7*t^2.933 + t^3.448/g1^2 + t^3.963/g1^11 + (4*t^4.343)/g1^6 + (5*t^4.724)/g1 + 6*g1^4*t^5.104 + 3*g1^9*t^5.485 + t^5.62/g1^5 + 3*g1^14*t^5.865 - 2*t^6. + (2*t^6.135)/g1^14 - g1^5*t^6.38 + (6*t^6.515)/g1^9 - g1^10*t^6.761 + (8*t^6.896)/g1^4 + 10*g1*t^7.276 + 8*g1^6*t^7.657 - t^7.791/g1^8 + t^7.926/g1^22 + 8*g1^11*t^8.037 - (8*t^8.172)/g1^3 + (4*t^8.306)/g1^17 + 4*g1^16*t^8.418 - 8*g1^2*t^8.552 + (9*t^8.687)/g1^12 + 4*g1^21*t^8.798 - 10*g1^7*t^8.933 - (g1*t^4.276)/y - t^6.448/(g1^2*y) - (g1^3*t^6.828)/y - (g1^8*t^7.209)/y + (2*t^7.343)/(g1^6*y) + (5*t^7.724)/(g1*y) + (6*g1^4*t^8.104)/y + (4*g1^9*t^8.485)/y + t^8.62/(g1^5*y) + (g1^14*t^8.865)/y - g1*t^4.276*y - (t^6.448*y)/g1^2 - g1^3*t^6.828*y - g1^8*t^7.209*y + (2*t^7.343*y)/g1^6 + (5*t^7.724*y)/g1 + 6*g1^4*t^8.104*y + 4*g1^9*t^8.485*y + (t^8.62*y)/g1^5 + g1^14*t^8.865*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 |
---|---|---|---|---|---|---|---|---|
47287 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5408 | 0.6833 | 0.7914 | [M:[0.8538, 1.1462, 0.7193, 0.9882, 1.1462], q:[1.0118, 0.5613], qb:[0.2925, 0.4269], phi:[0.4269]] | 2*t^2.158 + t^2.561 + 2*t^2.965 + 2*t^3.439 + t^3.913 + 4*t^4.316 + 3*t^4.719 + 4*t^5.123 + t^5.526 + 3*t^5.597 + 3*t^5.929 - 2*t^6. - t^4.281/y - t^4.281*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 |
---|---|---|---|---|---|---|---|---|---|
46330 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5538 | 0.7072 | 0.783 | [M:[0.8638, 1.1362, 0.7043], q:[0.9766, 0.5914], qb:[0.2724, 0.4319], phi:[0.4319]] | 2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. - t^4.296/y - t^4.296*y | detail |