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 |
---|---|---|---|---|---|---|---|---|---|
58103 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4389 | 1.6296 | 0.883 | [X:[1.3266], M:[0.9899], q:[0.4321, 0.4523], qb:[0.5679, 0.5276], phi:[0.3367]] | [X:[[6]], M:[[9]], q:[[11], [-7]], qb:[[-11], [25]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.88 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.89 + t^3.95 + t^3.98 + t^4.01 + t^4.07 + t^4.9 + 2*t^4.96 + 2*t^5.02 + t^5.08 + t^5.76 + t^5.82 + t^5.85 + 2*t^5.88 + t^5.91 + 2*t^5.94 + 2*t^5.97 - t^6. + 2*t^6.03 + t^6.77 + 2*t^6.83 + 2*t^6.86 + 3*t^6.89 + 3*t^6.92 + 3*t^6.95 + 3*t^6.98 + t^7.01 + 3*t^7.04 + t^7.1 + 3*t^7.78 + 4*t^7.84 + t^7.87 + 6*t^7.9 + t^7.93 + 5*t^7.96 + t^7.99 + 4*t^8.02 + t^8.05 + t^8.08 + t^8.14 + t^8.64 + t^8.7 + t^8.73 + 2*t^8.76 + 2*t^8.79 + 2*t^8.82 + 6*t^8.85 - t^8.88 + 7*t^8.91 - t^8.94 + 4*t^8.97 - t^4.01/y - t^5.02/y - t^6.89/y - t^6.95/y - t^6.98/y - t^7.01/y - t^7.07/y - t^7.9/y - t^7.96/y - t^7.99/y - t^8.02/y - t^8.08/y + t^8.82/y + t^8.85/y + t^8.88/y + (2*t^8.94)/y - t^4.01*y - t^5.02*y - t^6.89*y - t^6.95*y - t^6.98*y - t^7.01*y - t^7.07*y - t^7.9*y - t^7.96*y - t^7.99*y - t^8.02*y - t^8.08*y + t^8.82*y + t^8.85*y + t^8.88*y + 2*t^8.94*y | g1^36*t^2.88 + g1^18*t^2.94 + g1^9*t^2.97 + t^3. + t^3.06/g1^18 + g1^33*t^3.89 + g1^15*t^3.95 + g1^6*t^3.98 + t^4.01/g1^3 + t^4.07/g1^21 + g1^30*t^4.9 + 2*g1^12*t^4.96 + (2*t^5.02)/g1^6 + t^5.08/g1^24 + g1^72*t^5.76 + g1^54*t^5.82 + g1^45*t^5.85 + 2*g1^36*t^5.88 + g1^27*t^5.91 + 2*g1^18*t^5.94 + 2*g1^9*t^5.97 - t^6. + (2*t^6.03)/g1^9 + g1^69*t^6.77 + 2*g1^51*t^6.83 + 2*g1^42*t^6.86 + 3*g1^33*t^6.89 + 3*g1^24*t^6.92 + 3*g1^15*t^6.95 + 3*g1^6*t^6.98 + t^7.01/g1^3 + (3*t^7.04)/g1^12 + t^7.1/g1^30 + 3*g1^66*t^7.78 + 4*g1^48*t^7.84 + g1^39*t^7.87 + 6*g1^30*t^7.9 + g1^21*t^7.93 + 5*g1^12*t^7.96 + g1^3*t^7.99 + (4*t^8.02)/g1^6 + t^8.05/g1^15 + t^8.08/g1^24 + t^8.14/g1^42 + g1^108*t^8.64 + g1^90*t^8.7 + g1^81*t^8.73 + 2*g1^72*t^8.76 + 2*g1^63*t^8.79 + 2*g1^54*t^8.82 + 6*g1^45*t^8.85 - g1^36*t^8.88 + 7*g1^27*t^8.91 - g1^18*t^8.94 + 4*g1^9*t^8.97 - t^4.01/(g1^3*y) - t^5.02/(g1^6*y) - (g1^33*t^6.89)/y - (g1^15*t^6.95)/y - (g1^6*t^6.98)/y - t^7.01/(g1^3*y) - t^7.07/(g1^21*y) - (g1^30*t^7.9)/y - (g1^12*t^7.96)/y - (g1^3*t^7.99)/y - t^8.02/(g1^6*y) - t^8.08/(g1^24*y) + (g1^54*t^8.82)/y + (g1^45*t^8.85)/y + (g1^36*t^8.88)/y + (2*g1^18*t^8.94)/y - (t^4.01*y)/g1^3 - (t^5.02*y)/g1^6 - g1^33*t^6.89*y - g1^15*t^6.95*y - g1^6*t^6.98*y - (t^7.01*y)/g1^3 - (t^7.07*y)/g1^21 - g1^30*t^7.9*y - g1^12*t^7.96*y - g1^3*t^7.99*y - (t^8.02*y)/g1^6 - (t^8.08*y)/g1^24 + g1^54*t^8.82*y + g1^45*t^8.85*y + g1^36*t^8.88*y + 2*g1^18*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
61145 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4597 | 1.67 | 0.8741 | [X:[1.327], M:[0.9904, 0.6826], q:[0.4328, 0.4519], qb:[0.5672, 0.529], phi:[0.3365]] | t^2.05 + t^2.89 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.89 + t^3.98 + t^4.01 + t^4.07 + t^4.1 + t^4.9 + t^4.93 + 2*t^4.96 + t^4.99 + 3*t^5.02 + t^5.05 + t^5.08 + t^5.11 + t^5.77 + t^5.83 + t^5.86 + 2*t^5.89 + t^5.91 + 3*t^5.94 + 2*t^5.97 - t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*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 |
---|---|---|---|---|---|---|---|---|---|
57334 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4535 | 1.6425 | 0.8849 | [X:[1.3301], M:[0.9951], q:[0.4926, 0.5024], qb:[0.5074, 0.4878], phi:[0.335]] | t^2.941 + t^2.971 + t^2.985 + t^3. + t^3.029 + t^3.946 + t^3.976 + t^3.99 + t^4.005 + t^4.034 + t^4.951 + t^4.98 + t^5.01 + t^5.039 + t^5.454 + t^5.468 + t^5.497 + t^5.513 + t^5.883 + t^5.912 + t^5.927 + t^5.941 + t^5.956 + 2*t^5.971 + t^5.985 - 2*t^6. - t^4.005/y - t^5.01/y - t^4.005*y - t^5.01*y | detail |