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 |
---|---|---|---|---|---|---|---|---|---|
58861 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4321 | 1.6791 | 0.8529 | [X:[], M:[0.8932, 0.8447], q:[0.5852, 0.323], qb:[0.4148, 0.4634], phi:[0.3689]] | [X:[], M:[[-3, 3], [5, -5]], q:[[-8, 0], [-6, -2]], qb:[[8, 0], [0, 8]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | ${}$ | -2 | 2*t^2.21 + t^2.36 + t^2.53 + t^2.68 + t^3. + t^3.15 + t^3.32 + t^4.11 + t^4.25 + 4*t^4.43 + 3*t^4.57 + t^4.72 + 2*t^4.75 + t^4.8 + 3*t^4.89 + t^4.99 + t^5.04 + t^5.07 + t^5.13 + 3*t^5.21 + 5*t^5.36 + t^5.5 + 3*t^5.53 + t^5.59 + 3*t^5.68 + t^5.83 + t^5.91 - 2*t^6. + t^6.09 + t^6.23 + t^6.24 + t^6.29 + 2*t^6.32 + 4*t^6.47 + t^6.61 + 8*t^6.64 + t^6.69 + 7*t^6.79 - t^6.88 + 4*t^6.93 + 3*t^6.96 + 3*t^7.01 + t^7.05 + t^7.08 + 4*t^7.11 + t^7.16 + 3*t^7.2 + 4*t^7.25 + 2*t^7.28 + 4*t^7.35 + 2*t^7.4 + 7*t^7.43 + 2*t^7.49 + t^7.52 + 12*t^7.57 + t^7.6 - t^7.65 + t^7.67 + 6*t^7.72 + 7*t^7.75 + 3*t^7.8 + t^7.81 - t^7.84 + t^7.86 + 8*t^7.89 + 2*t^7.95 - t^7.99 + 6*t^8.04 + 4*t^8.12 + t^8.13 + t^8.18 - 4*t^8.21 + 2*t^8.27 + t^8.28 + 3*t^8.31 + t^8.44 + 3*t^8.45 + 5*t^8.5 + t^8.53 + t^8.59 + t^8.6 + t^8.65 + 7*t^8.68 + t^8.73 - t^8.77 + 6*t^8.83 + 13*t^8.85 + 3*t^8.91 - t^8.92 - t^8.95 + 2*t^8.97 - t^4.11/y - t^5.21/y - (2*t^6.32)/y - t^6.47/y - t^6.64/y - t^6.79/y - t^7.11/y - t^7.25/y - t^7.43/y + (2*t^7.57)/y + t^7.75/y + (3*t^7.89)/y + t^8.04/y + (2*t^8.21)/y + (2*t^8.36)/y + t^8.5/y - t^8.53/y + t^8.68/y - t^8.85/y - t^4.11*y - t^5.21*y - 2*t^6.32*y - t^6.47*y - t^6.64*y - t^6.79*y - t^7.11*y - t^7.25*y - t^7.43*y + 2*t^7.57*y + t^7.75*y + 3*t^7.89*y + t^8.04*y + 2*t^8.21*y + 2*t^8.36*y + t^8.5*y - t^8.53*y + t^8.68*y - t^8.85*y | (2*g1^2*t^2.21)/g2^2 + (g2^6*t^2.36)/g1^6 + (g1^5*t^2.53)/g2^5 + (g2^3*t^2.68)/g1^3 + t^3. + (g2^8*t^3.15)/g1^8 + (g1^3*t^3.32)/g2^3 + (g1*t^4.11)/g2 + (g2^7*t^4.25)/g1^7 + (4*g1^4*t^4.43)/g2^4 + (3*g2^4*t^4.57)/g1^4 + (g2^12*t^4.72)/g1^12 + (2*g1^7*t^4.75)/g2^7 + t^4.8/(g1^19*g2^5) + (3*g2*t^4.89)/g1 + g1^17*g2^7*t^4.99 + (g2^9*t^5.04)/g1^9 + (g1^10*t^5.07)/g2^10 + g1^9*g2^15*t^5.13 + (3*g1^2*t^5.21)/g2^2 + (5*g2^6*t^5.36)/g1^6 + (g2^14*t^5.5)/g1^14 + (3*g1^5*t^5.53)/g2^5 + t^5.59/(g1^21*g2^3) + (3*g2^3*t^5.68)/g1^3 + (g2^11*t^5.83)/g1^11 + t^5.91/(g1^18*g2^6) - 2*t^6. + g1^18*g2^6*t^6.09 + t^6.23/(g1^15*g2^9) + g1^10*g2^14*t^6.24 + (g2^16*t^6.29)/g1^16 + (2*g1^3*t^6.32)/g2^3 + (4*g2^5*t^6.47)/g1^5 + (g2^13*t^6.61)/g1^13 + (8*g1^6*t^6.64)/g2^6 + t^6.69/(g1^20*g2^4) + (7*g2^2*t^6.79)/g1^2 - g1^16*g2^8*t^6.88 + (4*g2^10*t^6.93)/g1^10 + (3*g1^9*t^6.96)/g2^9 + (3*t^7.01)/(g1^17*g2^7) + (g1^27*t^7.05)/g2^3 + (g2^18*t^7.08)/g1^18 + (4*g1*t^7.11)/g2 + (g2*t^7.16)/g1^25 + 3*g1^19*g2^5*t^7.2 + (4*g2^7*t^7.25)/g1^7 + (2*g1^12*t^7.28)/g2^12 + 4*g1^11*g2^13*t^7.35 + (2*g2^15*t^7.4)/g1^15 + (7*g1^4*t^7.43)/g2^4 + 2*g1^3*g2^21*t^7.49 + g1^22*g2^2*t^7.52 + (12*g2^4*t^7.57)/g1^4 + (g1^15*t^7.6)/g2^15 - t^7.65/(g1^11*g2^13) + g1^14*g2^10*t^7.67 + (6*g2^12*t^7.72)/g1^12 + (7*g1^7*t^7.75)/g2^7 + (3*t^7.8)/(g1^19*g2^5) + g1^6*g2^18*t^7.81 - (g1^25*t^7.84)/g2 + (g2^20*t^7.86)/g1^20 + (8*g2*t^7.89)/g1 + (2*g2^3*t^7.95)/g1^27 - g1^17*g2^7*t^7.99 + (6*g2^9*t^8.04)/g1^9 + (4*t^8.12)/(g1^16*g2^8) + g1^9*g2^15*t^8.13 + (g2^17*t^8.18)/g1^17 - (4*g1^2*t^8.21)/g2^2 + (2*t^8.27)/g1^24 + g1*g2^23*t^8.28 + 3*g1^20*g2^4*t^8.31 + t^8.44/(g1^13*g2^11) + 3*g1^12*g2^12*t^8.45 + (5*g2^14*t^8.5)/g1^14 + (g1^5*t^8.53)/g2^5 + t^8.59/(g1^21*g2^3) + g1^4*g2^20*t^8.6 + (g2^22*t^8.65)/g1^22 + (7*g2^3*t^8.68)/g1^3 + (g2^5*t^8.73)/g1^29 - g1^15*g2^9*t^8.77 + (6*g2^11*t^8.83)/g1^11 + (13*g1^8*t^8.85)/g2^8 + (3*t^8.91)/(g1^18*g2^6) - g1^7*g2^17*t^8.92 - (g1^26*t^8.95)/g2^2 + (2*g2^19*t^8.97)/g1^19 - (g1*t^4.11)/(g2*y) - (g1^2*t^5.21)/(g2^2*y) - (2*g1^3*t^6.32)/(g2^3*y) - (g2^5*t^6.47)/(g1^5*y) - (g1^6*t^6.64)/(g2^6*y) - (g2^2*t^6.79)/(g1^2*y) - (g1*t^7.11)/(g2*y) - (g2^7*t^7.25)/(g1^7*y) - (g1^4*t^7.43)/(g2^4*y) + (2*g2^4*t^7.57)/(g1^4*y) + (g1^7*t^7.75)/(g2^7*y) + (3*g2*t^7.89)/(g1*y) + (g2^9*t^8.04)/(g1^9*y) + (2*g1^2*t^8.21)/(g2^2*y) + (2*g2^6*t^8.36)/(g1^6*y) + (g2^14*t^8.5)/(g1^14*y) - (g1^5*t^8.53)/(g2^5*y) + (g2^3*t^8.68)/(g1^3*y) - (g1^8*t^8.85)/(g2^8*y) - (g1*t^4.11*y)/g2 - (g1^2*t^5.21*y)/g2^2 - (2*g1^3*t^6.32*y)/g2^3 - (g2^5*t^6.47*y)/g1^5 - (g1^6*t^6.64*y)/g2^6 - (g2^2*t^6.79*y)/g1^2 - (g1*t^7.11*y)/g2 - (g2^7*t^7.25*y)/g1^7 - (g1^4*t^7.43*y)/g2^4 + (2*g2^4*t^7.57*y)/g1^4 + (g1^7*t^7.75*y)/g2^7 + (3*g2*t^7.89*y)/g1 + (g2^9*t^8.04*y)/g1^9 + (2*g1^2*t^8.21*y)/g2^2 + (2*g2^6*t^8.36*y)/g1^6 + (g2^14*t^8.5*y)/g1^14 - (g1^5*t^8.53*y)/g2^5 + (g2^3*t^8.68*y)/g1^3 - (g1^8*t^8.85*y)/g2^8 |
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 |
---|---|---|---|---|---|---|---|---|
61126 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3996 | 1.6395 | 0.8537 | [X:[], M:[0.9355, 0.7742], q:[0.5592, 0.2688], qb:[0.4408, 0.6022], phi:[0.3548]] | 2*t^2.13 + t^2.32 + t^2.61 + t^2.81 + t^3. + t^3.19 + t^3.48 + t^4.06 + 4*t^4.26 + t^4.35 + 2*t^4.45 + t^4.55 + t^4.65 + 3*t^4.74 + 3*t^4.94 + 3*t^5.13 + 2*t^5.23 + 3*t^5.32 + 2*t^5.42 + t^5.52 + 6*t^5.61 + 3*t^5.81 - t^6. - t^4.06/y - t^5.13/y - t^4.06*y - t^5.13*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 |
---|---|---|---|---|---|---|---|---|---|
57419 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.5158 | 1.7662 | 0.8582 | [M:[0.6699, 0.6766], q:[0.4996, 0.4944], qb:[0.5004, 0.4937], phi:[0.3353]] | t^2.01 + t^2.012 + t^2.03 + t^2.964 + t^2.98 + t^2.984 + t^3. + t^3.018 + t^3.986 + t^4.006 + t^4.02 + t^4.022 + t^4.024 + t^4.04 + t^4.042 + t^4.06 + t^4.974 + 2*t^4.976 + t^4.99 + 2*t^4.992 + 2*t^4.994 + 2*t^4.996 + 2*t^5.01 + 2*t^5.012 + t^5.014 + t^5.028 + 2*t^5.03 + t^5.048 + t^5.469 + t^5.471 + t^5.487 + t^5.489 + t^5.928 + t^5.944 + t^5.948 + t^5.96 + 2*t^5.964 + t^5.968 + t^5.982 + t^5.996 + 2*t^5.998 - 3*t^6. - t^4.006/y - t^5.012/y - t^4.006*y - t^5.012*y | detail |