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 |
---|---|---|---|---|---|---|---|---|---|
46183 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6997 | 0.9172 | 0.7628 | [M:[0.8275, 0.8261, 0.6927, 0.6725], q:[0.75, 0.4225], qb:[0.4239, 0.4036], phi:[0.5]] | [M:[[1, 1], [-1, 0], [0, -2], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.017 + t^2.078 + 2*t^2.478 + 2*t^2.483 + t^2.539 + t^3. + t^3.461 + t^3.978 + 2*t^4.035 + t^4.039 + t^4.043 + t^4.096 + t^4.156 + 2*t^4.496 + 2*t^4.5 + 3*t^4.556 + 2*t^4.561 + t^4.617 + 3*t^4.957 + 4*t^4.961 + 3*t^4.965 + 3*t^5.017 + 2*t^5.022 + 2*t^5.078 + 3*t^5.478 + 2*t^5.483 + 2*t^5.539 + t^5.939 + t^5.944 - 2*t^6. - t^6.004 + 2*t^6.052 + t^6.056 + 2*t^6.113 + t^6.117 + t^6.122 + t^6.174 + t^6.234 + 2*t^6.457 + t^6.461 + 4*t^6.513 + 5*t^6.517 + 2*t^6.522 + 2*t^6.526 + 4*t^6.574 + 3*t^6.578 + t^6.582 + 3*t^6.635 + 2*t^6.639 + t^6.695 + 3*t^6.974 + 3*t^6.978 + t^6.983 + 6*t^7.035 + 5*t^7.039 + 3*t^7.043 + 4*t^7.096 + 2*t^7.1 + 2*t^7.156 + 4*t^7.435 + 5*t^7.439 + 4*t^7.444 + 4*t^7.448 + 5*t^7.496 + 3*t^7.5 + 2*t^7.504 + 4*t^7.556 + 2*t^7.561 + 3*t^7.617 + 4*t^7.957 + 3*t^7.961 + 2*t^7.965 + t^8.013 + t^8.022 + 3*t^8.069 + t^8.074 + t^8.087 + 2*t^8.13 + t^8.135 + 2*t^8.191 + t^8.195 + t^8.2 + t^8.252 + t^8.313 + t^8.418 + t^8.426 - 6*t^8.478 - 7*t^8.483 - 2*t^8.487 + 4*t^8.53 + 4*t^8.535 - 3*t^8.539 - t^8.543 + 6*t^8.591 + 5*t^8.596 + 2*t^8.6 + 2*t^8.604 + 4*t^8.652 + 3*t^8.656 + t^8.661 + 3*t^8.713 + 2*t^8.717 + t^8.773 + 3*t^8.935 + t^8.939 + 6*t^8.991 + 7*t^8.996 - t^4.5/y - t^6.517/y - t^6.578/y - t^6.978/y - t^6.983/y + t^7.096/y + (2*t^7.496)/y + (2*t^7.5)/y + (3*t^7.556)/y + (2*t^7.561)/y + t^7.617/y + t^7.957/y + (4*t^7.961)/y + t^7.965/y + (4*t^8.017)/y + (3*t^8.022)/y + t^8.078/y + t^8.422/y + (3*t^8.478)/y + (3*t^8.483)/y - t^8.535/y + (2*t^8.539)/y - t^8.596/y - t^8.656/y + (2*t^8.939)/y + (2*t^8.944)/y - t^4.5*y - t^6.517*y - t^6.578*y - t^6.978*y - t^6.983*y + t^7.096*y + 2*t^7.496*y + 2*t^7.5*y + 3*t^7.556*y + 2*t^7.561*y + t^7.617*y + t^7.957*y + 4*t^7.961*y + t^7.965*y + 4*t^8.017*y + 3*t^8.022*y + t^8.078*y + t^8.422*y + 3*t^8.478*y + 3*t^8.483*y - t^8.535*y + 2*t^8.539*y - t^8.596*y - t^8.656*y + 2*t^8.939*y + 2*t^8.944*y | t^2.017/(g1*g2) + t^2.078/g2^2 + (2*t^2.478)/g1 + 2*g1*g2*t^2.483 + t^2.539/g2 + t^3. + g2*t^3.461 + t^3.978/g1 + (2*t^4.035)/(g1^2*g2^2) + t^4.039/g2 + g1^2*t^4.043 + t^4.096/(g1*g2^3) + t^4.156/g2^4 + (2*t^4.496)/(g1^2*g2) + 2*t^4.5 + (3*t^4.556)/(g1*g2^2) + (2*g1*t^4.561)/g2 + t^4.617/g2^3 + (3*t^4.957)/g1^2 + 4*g2*t^4.961 + 3*g1^2*g2^2*t^4.965 + (3*t^5.017)/(g1*g2) + 2*g1*t^5.022 + (2*t^5.078)/g2^2 + (3*t^5.478)/g1 + 2*g1*g2*t^5.483 + (2*t^5.539)/g2 + (g2*t^5.939)/g1 + g1*g2^2*t^5.944 - 2*t^6. - g1^2*g2*t^6.004 + (2*t^6.052)/(g1^3*g2^3) + t^6.056/(g1*g2^2) + (2*t^6.113)/(g1^2*g2^4) + t^6.117/g2^3 + (g1^2*t^6.122)/g2^2 + t^6.174/(g1*g2^5) + t^6.234/g2^6 + (2*t^6.457)/g1^2 + g2*t^6.461 + (4*t^6.513)/(g1^3*g2^2) + (5*t^6.517)/(g1*g2) + 2*g1*t^6.522 + 2*g1^3*g2*t^6.526 + (4*t^6.574)/(g1^2*g2^3) + (3*t^6.578)/g2^2 + (g1^2*t^6.582)/g2 + (3*t^6.635)/(g1*g2^4) + (2*g1*t^6.639)/g2^3 + t^6.695/g2^5 + (3*t^6.974)/(g1^3*g2) + (3*t^6.978)/g1 + g1*g2*t^6.983 + (6*t^7.035)/(g1^2*g2^2) + (5*t^7.039)/g2 + 3*g1^2*t^7.043 + (4*t^7.096)/(g1*g2^3) + (2*g1*t^7.1)/g2^2 + (2*t^7.156)/g2^4 + (4*t^7.435)/g1^3 + (5*g2*t^7.439)/g1 + 4*g1*g2^2*t^7.444 + 4*g1^3*g2^3*t^7.448 + (5*t^7.496)/(g1^2*g2) + 3*t^7.5 + 2*g1^2*g2*t^7.504 + (4*t^7.556)/(g1*g2^2) + (2*g1*t^7.561)/g2 + (3*t^7.617)/g2^3 + (4*t^7.957)/g1^2 + 3*g2*t^7.961 + 2*g1^2*g2^2*t^7.965 + t^8.013/(g1^3*g2^2) + g1*t^8.022 + (3*t^8.069)/(g1^4*g2^4) + t^8.074/(g1^2*g2^3) + g1^4*t^8.087 + (2*t^8.13)/(g1^3*g2^5) + t^8.135/(g1*g2^4) + (2*t^8.191)/(g1^2*g2^6) + t^8.195/g2^5 + (g1^2*t^8.2)/g2^4 + t^8.252/(g1*g2^7) + t^8.313/g2^8 + (g2*t^8.418)/g1^2 + g1^2*g2^3*t^8.426 - (6*t^8.478)/g1 - 7*g1*g2*t^8.483 - 2*g1^3*g2^2*t^8.487 + (4*t^8.53)/(g1^4*g2^3) + (4*t^8.535)/(g1^2*g2^2) - (3*t^8.539)/g2 - g1^2*t^8.543 + (6*t^8.591)/(g1^3*g2^4) + (5*t^8.596)/(g1*g2^3) + (2*g1*t^8.6)/g2^2 + (2*g1^3*t^8.604)/g2 + (4*t^8.652)/(g1^2*g2^5) + (3*t^8.656)/g2^4 + (g1^2*t^8.661)/g2^3 + (3*t^8.713)/(g1*g2^6) + (2*g1*t^8.717)/g2^5 + t^8.773/g2^7 + (3*t^8.935)/g1^3 + (g2*t^8.939)/g1 + (6*t^8.991)/(g1^4*g2^2) + (7*t^8.996)/(g1^2*g2) - t^4.5/y - t^6.517/(g1*g2*y) - t^6.578/(g2^2*y) - t^6.978/(g1*y) - (g1*g2*t^6.983)/y + t^7.096/(g1*g2^3*y) + (2*t^7.496)/(g1^2*g2*y) + (2*t^7.5)/y + (3*t^7.556)/(g1*g2^2*y) + (2*g1*t^7.561)/(g2*y) + t^7.617/(g2^3*y) + t^7.957/(g1^2*y) + (4*g2*t^7.961)/y + (g1^2*g2^2*t^7.965)/y + (4*t^8.017)/(g1*g2*y) + (3*g1*t^8.022)/y + t^8.078/(g2^2*y) + (g2^2*t^8.422)/y + (3*t^8.478)/(g1*y) + (3*g1*g2*t^8.483)/y - t^8.535/(g1^2*g2^2*y) + (2*t^8.539)/(g2*y) - t^8.596/(g1*g2^3*y) - t^8.656/(g2^4*y) + (2*g2*t^8.939)/(g1*y) + (2*g1*g2^2*t^8.944)/y - t^4.5*y - (t^6.517*y)/(g1*g2) - (t^6.578*y)/g2^2 - (t^6.978*y)/g1 - g1*g2*t^6.983*y + (t^7.096*y)/(g1*g2^3) + (2*t^7.496*y)/(g1^2*g2) + 2*t^7.5*y + (3*t^7.556*y)/(g1*g2^2) + (2*g1*t^7.561*y)/g2 + (t^7.617*y)/g2^3 + (t^7.957*y)/g1^2 + 4*g2*t^7.961*y + g1^2*g2^2*t^7.965*y + (4*t^8.017*y)/(g1*g2) + 3*g1*t^8.022*y + (t^8.078*y)/g2^2 + g2^2*t^8.422*y + (3*t^8.478*y)/g1 + 3*g1*g2*t^8.483*y - (t^8.535*y)/(g1^2*g2^2) + (2*t^8.539*y)/g2 - (t^8.596*y)/(g1*g2^3) - (t^8.656*y)/g2^4 + (2*g2*t^8.939*y)/g1 + 2*g1*g2^2*t^8.944*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6789 | 0.8759 | 0.775 | [M:[0.8267, 0.8267, 0.6933], q:[0.75, 0.4233], qb:[0.4233, 0.4033], phi:[0.5]] | t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 62/75, M3: 52/75, q1: 3/4, q2: 127/300, qb1: 127/300, qb2: 121/300, phi1: 1/2} |