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 |
---|---|---|---|---|---|---|---|---|---|
57693 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4621 | 1.6651 | 0.8781 | [X:[1.3424], M:[0.6976], q:[0.5746, 0.5219], qb:[0.4517, 0.479], phi:[0.3288]] | [X:[[0, 2]], M:[[3, -16]], q:[[2, -11], [-4, 23]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.09 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^3.99 + t^4.03 + t^4.07 + t^4.15 + t^4.19 + t^4.89 + t^4.98 + t^5.01 + 2*t^5.05 + t^5.1 + 2*t^5.13 + t^5.17 + t^5.22 + t^5.25 + t^5.84 + t^5.88 + t^5.92 + t^5.96 - 2*t^6. + t^6.01 + t^6.04 + 2*t^6.08 + 3*t^6.12 + 2*t^6.16 + t^6.2 + 2*t^6.24 + t^6.28 + t^6.32 - t^6.9 + t^6.91 + 2*t^6.95 + 2*t^6.99 + 2*t^7.02 + t^7.03 + 2*t^7.07 + 4*t^7.11 + 2*t^7.14 + 2*t^7.15 + 3*t^7.19 + 3*t^7.23 + t^7.26 + t^7.27 + 2*t^7.31 + t^7.35 + t^7.66 + t^7.81 - t^7.89 + 2*t^7.9 + t^7.97 + 2*t^7.98 + t^8.01 + t^8.02 + 4*t^8.05 + t^8.1 + 2*t^8.13 + 4*t^8.14 + 3*t^8.17 + 5*t^8.21 + t^8.22 + t^8.25 + t^8.26 + 4*t^8.29 + 2*t^8.33 + t^8.37 + t^8.38 + t^8.41 - t^8.68 + t^8.8 + 2*t^8.88 - 3*t^8.92 + t^8.93 + t^8.96 + t^8.96/y^2 - t^3.99/y - t^4.97/y - t^6.08/y - t^6.91/y - t^6.95/y - t^6.99/y - (2*t^7.07)/y - t^7.15/y - t^7.93/y - t^7.98/y + t^8.01/y + t^8.1/y - t^8.13/y + t^8.25/y + t^8.88/y + t^8.92/y - t^3.99*y - t^4.97*y - t^6.08*y - t^6.91*y - t^6.95*y - t^6.99*y - 2*t^7.07*y - t^7.15*y - t^7.93*y - t^7.98*y + t^8.01*y + t^8.1*y - t^8.13*y + t^8.25*y + t^8.88*y + t^8.92*y + t^8.96*y^2 | (g1^3*t^2.09)/g2^16 + (g2^17*t^2.92)/g1^3 + t^2.96/g2^3 + (g2^23*t^3.)/g1^3 + (g1^3*t^3.08)/g2^17 + (g1^3*t^3.16)/g2^11 + (g2^22*t^3.99)/g1^3 + g2^2*t^4.03 + (g1^3*t^4.07)/g2^18 + (g1^3*t^4.15)/g2^12 + (g1^6*t^4.19)/g2^32 + (g2^15*t^4.89)/g1^3 + (g2^21*t^4.98)/g1^3 + g2*t^5.01 + (2*g1^3*t^5.05)/g2^19 + g2^7*t^5.1 + (2*g1^3*t^5.13)/g2^13 + (g1^6*t^5.17)/g2^33 + (g1^3*t^5.22)/g2^7 + (g1^6*t^5.25)/g2^27 + (g2^34*t^5.84)/g1^6 + (g2^14*t^5.88)/g1^3 + (g2^40*t^5.92)/g1^6 + (g2^20*t^5.96)/g1^3 - 2*t^6. + (g2^46*t^6.01)/g1^6 + (g1^3*t^6.04)/g2^20 + 2*g2^6*t^6.08 + (3*g1^3*t^6.12)/g2^14 + (g1^6*t^6.16)/g2^34 + g2^12*t^6.16 + (g1^3*t^6.2)/g2^8 + (2*g1^6*t^6.24)/g2^28 + (g1^9*t^6.28)/g2^48 + (g1^6*t^6.32)/g2^22 - t^6.9/g2^7 + (g2^39*t^6.91)/g1^6 + (2*g2^19*t^6.95)/g1^3 + t^6.99/g2 + (g2^45*t^6.99)/g1^6 + (2*g1^3*t^7.02)/g2^21 + (g2^25*t^7.03)/g1^3 + 2*g2^5*t^7.07 + (4*g1^3*t^7.11)/g2^15 + (2*g1^6*t^7.14)/g2^35 + 2*g2^11*t^7.15 + (3*g1^3*t^7.19)/g2^9 + (3*g1^6*t^7.23)/g2^29 + (g1^9*t^7.26)/g2^49 + (g1^3*t^7.27)/g2^3 + (2*g1^6*t^7.31)/g2^23 + (g1^9*t^7.35)/g2^43 + (g2^66*t^7.66)/g1^12 + (g2^32*t^7.81)/g1^6 - t^7.89/g2^8 + (2*g2^38*t^7.9)/g1^6 + t^7.97/g2^2 + (2*g2^44*t^7.98)/g1^6 + (g1^3*t^8.01)/g2^22 + (g2^24*t^8.02)/g1^3 + 4*g2^4*t^8.05 + (g2^30*t^8.1)/g1^3 + (2*g1^6*t^8.13)/g2^36 + 4*g2^10*t^8.14 + (3*g1^3*t^8.17)/g2^10 + (5*g1^6*t^8.21)/g2^30 + g2^16*t^8.22 + (g1^9*t^8.25)/g2^50 + (g1^3*t^8.26)/g2^4 + (4*g1^6*t^8.29)/g2^24 + (2*g1^9*t^8.33)/g2^44 + (g1^12*t^8.37)/g2^64 + (g1^6*t^8.38)/g2^18 + (g1^9*t^8.41)/g2^38 - (g2^45*t^8.68)/g1^9 + (g2^31*t^8.8)/g1^6 - (g2^11*t^8.84)/g1^3 + (g2^57*t^8.84)/g1^9 + (2*g2^37*t^8.88)/g1^6 - (3*g2^17*t^8.92)/g1^3 + (g2^63*t^8.93)/g1^9 - t^8.96/g2^3 + (2*g2^43*t^8.96)/g1^6 + t^8.96/(g2^3*y^2) - t^3.99/(g2*y) - t^4.97/(g2^2*y) - (g1^3*t^6.08)/(g2^17*y) - (g2^16*t^6.91)/(g1^3*y) - t^6.95/(g2^4*y) - (g2^22*t^6.99)/(g1^3*y) - (2*g1^3*t^7.07)/(g2^18*y) - (g1^3*t^7.15)/(g2^12*y) - t^7.93/(g2^5*y) - (g2^21*t^7.98)/(g1^3*y) + (g2*t^8.01)/y + (g2^7*t^8.1)/y - (g1^3*t^8.13)/(g2^13*y) + (g1^6*t^8.25)/(g2^27*y) + (g2^14*t^8.88)/(g1^3*y) + (g2^40*t^8.92)/(g1^6*y) - (t^3.99*y)/g2 - (t^4.97*y)/g2^2 - (g1^3*t^6.08*y)/g2^17 - (g2^16*t^6.91*y)/g1^3 - (t^6.95*y)/g2^4 - (g2^22*t^6.99*y)/g1^3 - (2*g1^3*t^7.07*y)/g2^18 - (g1^3*t^7.15*y)/g2^12 - (t^7.93*y)/g2^5 - (g2^21*t^7.98*y)/g1^3 + g2*t^8.01*y + g2^7*t^8.1*y - (g1^3*t^8.13*y)/g2^13 + (g1^6*t^8.25*y)/g2^27 + (g2^14*t^8.88*y)/g1^3 + (g2^40*t^8.92*y)/g1^6 + (t^8.96*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
60781 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3977 | 1.5928 | 0.8775 | [X:[1.3407], M:[0.8352], q:[0.6667, 0.337], qb:[0.4982, 0.5203], phi:[0.3296]] | 2*t^2.51 + t^2.57 + t^2.97 + t^3.49 + 2*t^3.56 + t^4.02 + 2*t^4.48 + 2*t^4.55 + 3*t^5.01 + 2*t^5.08 + t^5.14 + 3*t^5.47 + 3*t^5.54 + t^5.61 - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
59682 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3901 | 1.5597 | 0.8913 | [X:[1.4286], M:[0.7159], q:[0.5725, 0.5692], qb:[0.4291, 0.7148], phi:[0.2857]] | t^2.15 + t^2.57 + 2*t^3. + t^3.85 + 2*t^3.86 + t^4.29 + t^4.3 + 2*t^4.71 + 3*t^4.72 + t^5.14 + t^5.15 + 2*t^5.57 + 3*t^5.58 + t^5.99 - 2*t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | |
60688 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 1.1431 | 1.3139 | 0.87 | [X:[1.378], M:[1.0], q:[0.7703, 0.1483], qb:[0.5407, 0.6747], phi:[0.311]] | t^2.07 + t^2.47 + t^2.8 + t^3. + t^3.4 + 2*t^3.93 + 3*t^4.13 + 2*t^4.34 + t^4.54 + 2*t^4.87 + t^4.94 + t^5.07 + 2*t^5.27 + 2*t^5.47 + t^5.8 + t^5.87 - t^3.93/y - t^4.87/y - t^6./y - t^3.93*y - t^4.87*y - t^6.*y | detail | |
60054 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4652 | 1.6705 | 0.8771 | [X:[1.341], M:[0.7117, 0.9588], q:[0.5843, 0.5019], qb:[0.4569, 0.4799], phi:[0.3295]] | t^2.14 + 2*t^2.88 + t^2.95 + t^2.97 + t^3.19 + t^3.93 + t^4.02 + t^4.11 + t^4.18 + t^4.27 + t^4.85 + t^4.92 + 2*t^5.01 + t^5.08 + 2*t^5.1 + 2*t^5.17 + t^5.24 + t^5.33 + 3*t^5.75 + 2*t^5.82 + 2*t^5.84 + t^5.89 + t^5.91 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
59047 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.46 | 1.6635 | 0.8776 | [X:[1.3451], M:[0.6725], q:[0.5575, 0.5575], qb:[0.4425, 0.4777], phi:[0.3275]] | t^2.02 + t^2.95 + 2*t^3. + 2*t^3.11 + t^3.98 + 2*t^4.04 + 2*t^4.09 + 3*t^4.96 + 2*t^5.02 + 3*t^5.07 + 2*t^5.12 + t^5.18 + 2*t^5.95 - t^3.98/y - t^4.96/y - t^6./y - t^3.98*y - t^4.96*y - t^6.*y | detail | |
60698 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9177 | 0.9708 | 0.9453 | [X:[1.6301, 1.4451], M:[0.9248], q:[0.6782, 0.4586], qb:[0.4316, 1.3218], phi:[0.185]] | t^2.67 + t^2.77 + t^3.78 + t^4.34 + t^4.89 + t^5.34 + t^5.45 + 2*t^5.55 + t^5.79 - 2*t^6. - t^3.55/y - t^4.11/y - t^3.55*y - t^4.11*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 |
---|---|---|---|---|---|---|---|---|---|
47944 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |