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 |
---|---|---|---|---|---|---|---|---|---|
59026 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.339 | 1.5093 | 0.8872 | [X:[1.4094], M:[0.8188], q:[0.4027, 0.7651], qb:[0.4161, 0.6443], phi:[0.2953]] | [X:[[6]], M:[[12]], q:[[23], [-1]], qb:[[-11], [7]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -1 | 2*t^2.46 + t^2.66 + t^3.14 + t^3.34 + t^4.03 + 3*t^4.23 + t^4.43 + 3*t^4.91 + 3*t^5.11 + 2*t^5.32 + 3*t^5.6 + 2*t^5.8 - t^6. + 2*t^6.28 + t^6.4 + 4*t^6.48 + 7*t^6.68 + 2*t^6.89 - t^7.09 + t^7.17 + 8*t^7.37 + 7*t^7.57 + 4*t^7.77 - t^7.97 + 5*t^8.05 - t^8.17 + 5*t^8.26 + 4*t^8.46 + 3*t^8.66 + 5*t^8.74 + 8*t^8.94 + t^8.66/y^2 - t^3.89/y - t^4.77/y - (2*t^6.34)/y - t^6.54/y - t^7.03/y - (2*t^7.23)/y - t^7.43/y + (2*t^8.6)/y - t^3.89*y - t^4.77*y - 2*t^6.34*y - t^6.54*y - t^7.03*y - 2*t^7.23*y - t^7.43*y + 2*t^8.6*y + t^8.66*y^2 | 2*g1^12*t^2.46 + t^2.66/g1^9 + g1^30*t^3.14 + g1^9*t^3.34 + g1^27*t^4.03 + 3*g1^6*t^4.23 + t^4.43/g1^15 + 3*g1^24*t^4.91 + 3*g1^3*t^5.11 + (2*t^5.32)/g1^18 + 3*g1^42*t^5.6 + 2*g1^21*t^5.8 - t^6. + 2*g1^60*t^6.28 + t^6.4/g1^42 + 4*g1^39*t^6.48 + 7*g1^18*t^6.68 + (2*t^6.89)/g1^3 - t^7.09/g1^24 + g1^57*t^7.17 + 8*g1^36*t^7.37 + 7*g1^15*t^7.57 + (4*t^7.77)/g1^6 - t^7.97/g1^27 + 5*g1^54*t^8.05 - t^8.17/g1^48 + 5*g1^33*t^8.26 + 4*g1^12*t^8.46 + (3*t^8.66)/g1^9 + 5*g1^72*t^8.74 + 8*g1^51*t^8.94 + t^8.66/(g1^9*y^2) - t^3.89/(g1^3*y) - t^4.77/(g1^6*y) - (2*g1^9*t^6.34)/y - t^6.54/(g1^12*y) - (g1^27*t^7.03)/y - (2*g1^6*t^7.23)/y - t^7.43/(g1^15*y) + (2*g1^42*t^8.6)/y - (t^3.89*y)/g1^3 - (t^4.77*y)/g1^6 - 2*g1^9*t^6.34*y - (t^6.54*y)/g1^12 - g1^27*t^7.03*y - 2*g1^6*t^7.23*y - (t^7.43*y)/g1^15 + 2*g1^42*t^8.6*y + (t^8.66*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61118 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3451 | 1.5169 | 0.8867 | [X:[1.4169], M:[0.8338, 0.9156], q:[0.4314, 0.7639], qb:[0.4024, 0.653], phi:[0.2916]] | 2*t^2.5 + t^2.62 + t^2.75 + t^3.38 + t^4.13 + 3*t^4.25 + t^4.37 + 3*t^5. + 3*t^5.13 + 4*t^5.25 + t^5.37 + t^5.49 + t^5.75 + t^5.88 - t^6. - t^3.87/y - t^4.75/y - t^3.87*y - t^4.75*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 |
---|---|---|---|---|---|---|---|---|---|
57462 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4434 | 1.6252 | 0.8882 | [X:[1.3517], M:[0.9823], q:[0.4603, 0.4957], qb:[0.522, 0.5769], phi:[0.3242]] | t^2.92 + 2*t^2.95 + t^3.11 + t^3.22 + t^3.92 + t^4.03 + t^4.05 + t^4.08 + t^4.19 + t^4.89 + t^5. + t^5.06 + t^5.16 + t^5.22 + t^5.33 + t^5.84 + 2*t^5.86 + 2*t^5.89 - 3*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail |