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 |
---|---|---|---|---|---|---|---|---|---|
57926 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.1477 | 1.3025 | 0.8812 | [X:[1.5082], M:[0.7049, 0.7705], q:[0.8497, 0.3907], qb:[0.3798, 0.9044], phi:[0.2459]] | [X:[[0, 2]], M:[[0, -11], [0, 5]], q:[[-1, 1], [-1, 11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | -2 | t^2.11 + t^2.21 + 2*t^2.31 + t^3.05 + t^3.79 + t^4.23 + t^4.33 + 3*t^4.43 + 3*t^4.52 + 3*t^4.62 + t^5.16 + 2*t^5.26 + 2*t^5.36 + 2*t^5.63 + 2*t^5.73 - 2*t^6. + 2*t^6.1 + t^6.34 + t^6.44 + 3*t^6.54 + 4*t^6.64 + 5*t^6.74 + 6*t^6.84 + 4*t^6.93 + t^7.28 + t^7.38 + 3*t^7.48 + 4*t^7.57 + 3*t^7.67 + 2*t^7.75 + 2*t^7.84 + 4*t^7.94 + 4*t^8.04 - 3*t^8.11 - 3*t^8.31 + 3*t^8.41 + t^8.46 + t^8.56 - 2*t^8.58 + 3*t^8.66 + 4*t^8.75 + 2*t^8.78 + 4*t^8.85 + 5*t^8.95 + t^8.21/y^2 - t^8.85/y^2 - t^8.95/y^2 - t^3.74/y - t^4.48/y - t^5.85/y - t^5.95/y - (2*t^6.05)/y - t^6.59/y - t^6.69/y - (2*t^6.79)/y + t^7.33/y + (2*t^7.43)/y + t^7.52/y + t^7.62/y - t^7.97/y - t^8.07/y - t^8.16/y - t^8.26/y - t^8.7/y - t^8.8/y - (2*t^8.9)/y - t^3.74*y - t^4.48*y - t^5.85*y - t^5.95*y - 2*t^6.05*y - t^6.59*y - t^6.69*y - 2*t^6.79*y + t^7.33*y + 2*t^7.43*y + t^7.52*y + t^7.62*y - t^7.97*y - t^8.07*y - t^8.16*y - t^8.26*y - t^8.7*y - t^8.8*y - 2*t^8.9*y + t^8.21*y^2 - t^8.85*y^2 - t^8.95*y^2 | t^2.11/g2^11 + t^2.21/g2^3 + 2*g2^5*t^2.31 + g2^4*t^3.05 + g2^3*t^3.79 + t^4.23/g2^22 + t^4.33/g2^14 + (3*t^4.43)/g2^6 + 3*g2^2*t^4.52 + 3*g2^10*t^4.62 + t^5.16/g2^7 + 2*g2*t^5.26 + 2*g2^9*t^5.36 + (g1^3*t^5.63)/g2^21 + (g2^22*t^5.63)/g1^3 + (g1^3*t^5.73)/g2^13 + (g2^30*t^5.73)/g1^3 - 2*t^6. + 2*g2^8*t^6.1 + t^6.34/g2^33 + t^6.44/g2^25 + (3*t^6.54)/g2^17 + (4*t^6.64)/g2^9 + (5*t^6.74)/g2 + 6*g2^7*t^6.84 + 4*g2^15*t^6.93 + t^7.28/g2^18 + t^7.38/g2^10 + (3*t^7.48)/g2^2 + 4*g2^6*t^7.57 + 3*g2^14*t^7.67 + (g1^3*t^7.75)/g2^32 + (g2^11*t^7.75)/g1^3 + (g1^3*t^7.84)/g2^24 + (g2^19*t^7.84)/g1^3 + (2*g1^3*t^7.94)/g2^16 + (2*g2^27*t^7.94)/g1^3 + (2*g1^3*t^8.04)/g2^8 + (2*g2^35*t^8.04)/g1^3 - (3*t^8.11)/g2^11 - 3*g2^5*t^8.31 + 3*g2^13*t^8.41 + t^8.46/g2^44 + t^8.56/g2^36 - (g1^3*t^8.58)/g2^25 - (g2^18*t^8.58)/g1^3 + (3*t^8.66)/g2^28 + (4*t^8.75)/g2^20 + (g1^3*t^8.78)/g2^9 + (g2^34*t^8.78)/g1^3 + (4*t^8.85)/g2^12 + (5*t^8.95)/g2^4 + t^8.21/(g2^3*y^2) - t^8.85/(g2^12*y^2) - t^8.95/(g2^4*y^2) - t^3.74/(g2*y) - t^4.48/(g2^2*y) - t^5.85/(g2^12*y) - t^5.95/(g2^4*y) - (2*g2^4*t^6.05)/y - t^6.59/(g2^13*y) - t^6.69/(g2^5*y) - (2*g2^3*t^6.79)/y + t^7.33/(g2^14*y) + (2*t^7.43)/(g2^6*y) + (g2^2*t^7.52)/y + (g2^10*t^7.62)/y - t^7.97/(g2^23*y) - t^8.07/(g2^15*y) - t^8.16/(g2^7*y) - (g2*t^8.26)/y - t^8.7/(g2^24*y) - t^8.8/(g2^16*y) - (2*t^8.9)/(g2^8*y) - (t^3.74*y)/g2 - (t^4.48*y)/g2^2 - (t^5.85*y)/g2^12 - (t^5.95*y)/g2^4 - 2*g2^4*t^6.05*y - (t^6.59*y)/g2^13 - (t^6.69*y)/g2^5 - 2*g2^3*t^6.79*y + (t^7.33*y)/g2^14 + (2*t^7.43*y)/g2^6 + g2^2*t^7.52*y + g2^10*t^7.62*y - (t^7.97*y)/g2^23 - (t^8.07*y)/g2^15 - (t^8.16*y)/g2^7 - g2*t^8.26*y - (t^8.7*y)/g2^24 - (t^8.8*y)/g2^16 - (2*t^8.9*y)/g2^8 + (t^8.21*y^2)/g2^3 - (t^8.85*y^2)/g2^12 - (t^8.95*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
61052 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1497 | 1.3051 | 0.8809 | [X:[1.5123], M:[0.6822, 0.7808, 0.9754], q:[0.837, 0.3986], qb:[0.3822, 0.9191], phi:[0.2438]] | t^2.05 + t^2.19 + 2*t^2.34 + t^2.93 + t^3.81 + t^4.09 + t^4.24 + 3*t^4.39 + 3*t^4.54 + 3*t^4.68 + t^4.97 + t^5.12 + 3*t^5.27 + 2*t^5.63 + 2*t^5.78 + t^5.85 - 2*t^6. - t^3.73/y - t^4.46/y - t^5.78/y - t^5.93/y - t^3.73*y - t^4.46*y - t^5.78*y - t^5.93*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 |
---|---|---|---|---|---|---|---|---|---|
57278 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4543 | 1.6397 | 0.8869 | [X:[1.3446], M:[0.9663, 0.9998], q:[0.5085, 0.5081], qb:[0.4917, 0.5255], phi:[0.3277]] | t^2.899 + t^2.949 + 2*t^2.999 + t^3.102 + t^3.982 + t^3.984 + t^4.034 + t^4.084 + t^4.085 + t^4.966 + t^4.967 + t^5.067 + t^5.068 + t^5.51 + t^5.557 + t^5.559 + t^5.611 + t^5.798 + t^5.848 + 2*t^5.898 + 2*t^5.949 + 2*t^5.999 - 4*t^6. - t^3.983/y - t^4.966/y - t^3.983*y - t^4.966*y | detail |