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 |
---|---|---|---|---|---|---|---|---|---|
57676 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.7876 | 0.8393 | 0.9384 | [X:[1.623, 1.4345], M:[], q:[0.7923, 0.2269], qb:[1.2077, 0.6422], phi:[0.1885]] | [X:[[6], [9]], M:[], q:[[-2], [7]], qb:[[2], [11]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{7}q_{2}^{3}$ | -3 | t^2.61 + t^3.17 + 2*t^3.74 + t^4.3 + t^4.87 + t^5.21 + t^5.78 - 3*t^6. + 3*t^6.35 - 2*t^6.57 + 3*t^6.91 - t^7.13 + 6*t^7.48 + t^7.7 + t^7.82 + t^8.04 + t^8.26 + t^8.39 - 2*t^8.61 + 2*t^8.83 + 3*t^8.95 + t^7.7/y^2 - t^3.57/y - t^4.13/y - t^6.17/y - t^6.74/y - t^7.3/y - t^7.87/y - t^8.43/y - t^3.57*y - t^4.13*y - t^6.17*y - t^6.74*y - t^7.3*y - t^7.87*y - t^8.43*y + t^7.7*y^2 | g1^18*t^2.61 + g1^15*t^3.17 + 2*g1^12*t^3.74 + g1^9*t^4.3 + g1^6*t^4.87 + g1^36*t^5.21 + g1^33*t^5.78 - 3*t^6. + 3*g1^30*t^6.35 - (2*t^6.57)/g1^3 + 3*g1^27*t^6.91 - t^7.13/g1^6 + 6*g1^24*t^7.48 + t^7.7/g1^9 + g1^54*t^7.82 + g1^21*t^8.04 + t^8.26/g1^12 + g1^51*t^8.39 - 2*g1^18*t^8.61 + (2*t^8.83)/g1^15 + 3*g1^48*t^8.95 + t^7.7/(g1^9*y^2) - t^3.57/(g1^3*y) - t^4.13/(g1^6*y) - (g1^15*t^6.17)/y - (g1^12*t^6.74)/y - (g1^9*t^7.3)/y - (g1^6*t^7.87)/y - (g1^3*t^8.43)/y - (t^3.57*y)/g1^3 - (t^4.13*y)/g1^6 - g1^15*t^6.17*y - g1^12*t^6.74*y - g1^9*t^7.3*y - g1^6*t^7.87*y - g1^3*t^8.43*y + (t^7.7*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 |
---|---|---|---|---|---|---|---|---|
58575 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{3}q_{2}^{3}$ | 0.8068 | 0.8716 | 0.9256 | [X:[1.6296, 1.4444], M:[0.7408], q:[0.7901, 0.2345], qb:[1.2099, 0.6542], phi:[0.1852]] | t^2.22 + t^2.67 + t^3.22 + t^3.78 + t^4.33 + t^4.44 + 2*t^4.89 + t^5.33 + t^5.44 + t^5.89 - 2*t^6. - t^3.56/y - t^4.11/y - t^5.78/y - t^3.56*y - t^4.11*y - t^5.78*y | detail | |
60064 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 0.779 | 0.8154 | 0.9553 | [X:[1.6481, 1.4722], M:[1.0556], q:[0.784, 0.2562], qb:[1.216, 0.6883], phi:[0.1759]] | t^3.17 + t^3.36 + 2*t^3.89 + t^4.42 + t^4.94 - 3*t^6. - t^3.53/y - t^4.06/y - t^3.53*y - t^4.06*y | detail | |
60630 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.7866 | 0.8321 | 0.9454 | [X:[1.6364, 1.4545], M:[], q:[0.7879, 0.2424], qb:[1.2121, 0.6667], phi:[0.1818]] | t^2.73 + t^3.27 + 2*t^3.82 + t^4.36 + t^4.91 + t^5.45 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 1047/1331, c: 2215/2662, X1: 18/11, X2: 16/11, q1: 26/33, q2: 8/33, qb1: 40/33, qb2: 2/3, phi1: 2/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
47940 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y | detail |