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 |
---|---|---|---|---|---|---|---|---|---|
58947 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.4968 | 1.7302 | 0.8651 | [X:[], M:[0.6747, 0.988, 0.9756], q:[0.4758, 0.5122], qb:[0.5122, 0.4758], phi:[0.3373]] | [X:[], M:[[-2, 0, -2], [3, 0, 3], [-3, -1, 0]], q:[[3, -1, 3], [3, 0, 0]], qb:[[0, 1, 0], [0, 0, 3]], phi:[[-1, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -2 | 2*t^2.02 + t^2.85 + t^2.93 + 3*t^2.96 + t^3.87 + t^3.98 + 3*t^4.05 + t^4.09 + 3*t^4.88 + 2*t^4.95 + 8*t^4.99 + t^5.1 + 2*t^5.4 + 2*t^5.51 + t^5.71 + t^5.78 + 3*t^5.82 + t^5.85 + 3*t^5.89 + 6*t^5.93 - 2*t^6. + 4*t^6.07 + 2*t^6.42 + 2*t^6.52 + t^6.72 + t^6.79 + 4*t^6.83 + 4*t^6.9 + 4*t^6.94 + 3*t^6.97 + 11*t^7.01 + 3*t^7.05 + 2*t^7.32 + 4*t^7.43 + 4*t^7.54 + 2*t^7.65 + 4*t^7.73 + 3*t^7.81 + 11*t^7.84 + 2*t^7.88 + 5*t^7.91 + 18*t^7.95 - 6*t^8.02 + 3*t^8.06 + 5*t^8.1 - 3*t^8.13 + t^8.17 + 2*t^8.26 + 8*t^8.37 + 6*t^8.48 - 2*t^8.55 + t^8.56 + t^8.64 - 2*t^8.66 + 3*t^8.67 + t^8.71 + 4*t^8.75 + 7*t^8.78 + 3*t^8.82 + 6*t^8.85 + 10*t^8.89 + 2*t^8.93 - 5*t^8.96 - t^4.01/y - t^5.02/y - (2*t^6.04)/y - t^6.87/y - t^6.94/y - (3*t^6.98)/y - t^7.05/y + t^7.88/y + t^7.95/y + (5*t^7.99)/y - (3*t^8.06)/y + t^8.78/y + (3*t^8.82)/y + (2*t^8.89)/y + (3*t^8.93)/y - (2*t^8.96)/y - t^4.01*y - t^5.02*y - 2*t^6.04*y - t^6.87*y - t^6.94*y - 3*t^6.98*y - t^7.05*y + t^7.88*y + t^7.95*y + 5*t^7.99*y - 3*t^8.06*y + t^8.78*y + 3*t^8.82*y + 2*t^8.89*y + 3*t^8.93*y - 2*t^8.96*y | (2*t^2.02)/(g1^2*g3^2) + (g1^3*g3^6*t^2.85)/g2 + t^2.93/(g1^3*g2) + 3*g1^3*g3^3*t^2.96 + (g1^2*g3^5*t^3.87)/g2 + g1^2*g3^2*t^3.98 + (3*t^4.05)/(g1^4*g3^4) + (g1^2*g2*t^4.09)/g3 + (3*g1*g3^4*t^4.88)/g2 + (2*t^4.95)/(g1^5*g2*g3^2) + 8*g1*g3*t^4.99 + (g1*g2*t^5.1)/g3^2 + (g1^8*g3^5*t^5.4)/g2^2 + (g2*g3^5*t^5.4)/g1 + (g1^8*g3^2*t^5.51)/g2 + (g2^2*g3^2*t^5.51)/g1 + (g1^6*g3^12*t^5.71)/g2^2 + (g3^6*t^5.78)/g2^2 + (3*g1^6*g3^9*t^5.82)/g2 + t^5.85/(g1^6*g2^2) + (3*g3^3*t^5.89)/g2 + 6*g1^6*g3^6*t^5.93 - 2*t^6. + (4*t^6.07)/(g1^6*g3^6) + (g1^7*g3^4*t^6.42)/g2^2 + (g2*g3^4*t^6.42)/g1^2 + (g1^7*g3*t^6.52)/g2 + (g2^2*g3*t^6.52)/g1^2 + (g1^5*g3^11*t^6.72)/g2^2 + (g3^5*t^6.79)/(g1*g2^2) + (4*g1^5*g3^8*t^6.83)/g2 + (4*g3^2*t^6.9)/(g1*g2) + 4*g1^5*g3^5*t^6.94 + (3*t^6.97)/(g1^7*g2*g3^4) + (11*t^7.01)/(g1*g3) + 3*g1^5*g2*g3^2*t^7.05 + (g3^6*t^7.32)/g1^3 + (g1^6*g3^6*t^7.32)/g2^3 + (2*g1^6*g3^3*t^7.43)/g2^2 + (2*g2*g3^3*t^7.43)/g1^3 + (2*g1^6*t^7.54)/g2 + (2*g2^2*t^7.54)/g1^3 + (g1^6*t^7.65)/g3^3 + (g2^3*t^7.65)/(g1^3*g3^3) + (4*g1^4*g3^10*t^7.73)/g2^2 + (3*g3^4*t^7.81)/(g1^2*g2^2) + (11*g1^4*g3^7*t^7.84)/g2 + (2*t^7.88)/(g1^8*g2^2*g3^2) + (5*g3*t^7.91)/(g1^2*g2) + 18*g1^4*g3^4*t^7.95 - (6*t^8.02)/(g1^2*g3^2) + 3*g1^4*g2*g3*t^8.06 + (5*t^8.1)/(g1^8*g3^8) - (3*g2*t^8.13)/(g1^2*g3^5) + (g1^4*g2^2*t^8.17)/g3^2 + g1^2*g3^11*t^8.26 + (g1^11*g3^11*t^8.26)/g2^3 + (4*g1^11*g3^8*t^8.37)/g2^2 + 4*g1^2*g2*g3^8*t^8.37 + (3*g1^11*g3^5*t^8.48)/g2 + 3*g1^2*g2^2*g3^5*t^8.48 - (g1^5*t^8.55)/(g2*g3) - (g2^2*t^8.55)/(g1^4*g3) + (g1^9*g3^18*t^8.56)/g2^3 + (g1^3*g3^12*t^8.64)/g2^3 - (g1^5*t^8.66)/g3^4 - (g2^3*t^8.66)/(g1^4*g3^4) + (3*g1^9*g3^15*t^8.67)/g2^2 + (g3^6*t^8.71)/(g1^3*g2^3) + (4*g1^3*g3^9*t^8.75)/g2^2 + t^8.78/(g1^9*g2^3) + (6*g1^9*g3^12*t^8.78)/g2 + (3*g3^3*t^8.82)/(g1^3*g2^2) + (6*g1^3*g3^6*t^8.85)/g2 + 10*g1^9*g3^9*t^8.89 + (2*t^8.93)/(g1^3*g2) - 5*g1^3*g3^3*t^8.96 - t^4.01/(g1*g3*y) - t^5.02/(g1^2*g3^2*y) - (2*t^6.04)/(g1^3*g3^3*y) - (g1^2*g3^5*t^6.87)/(g2*y) - t^6.94/(g1^4*g2*g3*y) - (3*g1^2*g3^2*t^6.98)/y - t^7.05/(g1^4*g3^4*y) + (g1*g3^4*t^7.88)/(g2*y) + t^7.95/(g1^5*g2*g3^2*y) + (5*g1*g3*t^7.99)/y - (3*t^8.06)/(g1^5*g3^5*y) + (g3^6*t^8.78)/(g2^2*y) + (3*g1^6*g3^9*t^8.82)/(g2*y) + (2*g3^3*t^8.89)/(g2*y) + (3*g1^6*g3^6*t^8.93)/y - (2*t^8.96)/(g1^6*g2*g3^3*y) - (t^4.01*y)/(g1*g3) - (t^5.02*y)/(g1^2*g3^2) - (2*t^6.04*y)/(g1^3*g3^3) - (g1^2*g3^5*t^6.87*y)/g2 - (t^6.94*y)/(g1^4*g2*g3) - 3*g1^2*g3^2*t^6.98*y - (t^7.05*y)/(g1^4*g3^4) + (g1*g3^4*t^7.88*y)/g2 + (t^7.95*y)/(g1^5*g2*g3^2) + 5*g1*g3*t^7.99*y - (3*t^8.06*y)/(g1^5*g3^5) + (g3^6*t^8.78*y)/g2^2 + (3*g1^6*g3^9*t^8.82*y)/g2 + (2*g3^3*t^8.89*y)/g2 + 3*g1^6*g3^6*t^8.93*y - (2*t^8.96*y)/(g1^6*g2*g3^3) |
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 |
---|---|---|---|---|---|---|---|---|
61060 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.5172 | 1.7683 | 0.858 | [X:[], M:[0.6726, 0.9911, 0.9796, 0.7018], q:[0.4809, 0.5102], qb:[0.5102, 0.4809], phi:[0.3363]] | 2*t^2.02 + t^2.11 + t^2.89 + t^2.94 + 3*t^2.97 + t^3.98 + 3*t^4.04 + t^4.07 + 2*t^4.12 + t^4.21 + 3*t^4.9 + 2*t^4.96 + 9*t^4.99 + t^5.04 + 4*t^5.08 + 2*t^5.43 + 2*t^5.51 + t^5.77 + t^5.82 + 3*t^5.86 + t^5.88 + t^5.91 + 6*t^5.95 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
57667 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4974 | 1.7349 | 0.8631 | [X:[], M:[0.6911, 0.9634], q:[0.4817, 0.4817], qb:[0.4817, 0.4817], phi:[0.3455]] | 2*t^2.07 + 5*t^2.89 + 3*t^3.93 + 3*t^4.15 + 14*t^4.96 + 4*t^5.37 + 15*t^5.78 - 2*t^6. - t^4.04/y - t^5.07/y - t^4.04*y - t^5.07*y | detail |