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 |
---|---|---|---|---|---|---|---|---|---|
57655 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4407 | 1.6241 | 0.8871 | [X:[1.3422], M:[1.0133], q:[0.5757, 0.5198], qb:[0.467, 0.4641], phi:[0.3289]] | [X:[[0, 2]], M:[[0, 3]], q:[[-1, 9], [2, -17]], qb:[[-2, 14], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.95 + t^2.96 + t^3.04 + t^3.12 + t^3.13 + t^3.94 + t^3.95 + t^4.03 + 2*t^4.11 + 2*t^4.93 + t^5.09 + t^5.1 + t^5.17 + t^5.18 + t^5.9 + t^5.91 + t^5.92 - 2*t^6. - t^6.01 + t^6.07 + 3*t^6.08 + t^6.09 + 2*t^6.16 + t^6.17 + t^6.24 + t^6.25 + t^6.26 + t^6.89 + 2*t^6.9 + t^6.91 + t^6.98 - t^7. + 2*t^7.06 + 6*t^7.07 + t^7.14 + 5*t^7.15 + t^7.16 + 2*t^7.23 + t^7.24 + t^7.64 + 2*t^7.88 + 3*t^7.89 - t^7.98 + 2*t^8.04 + 4*t^8.05 + 2*t^8.06 + t^8.12 + 3*t^8.13 + 2*t^8.14 + 2*t^8.21 + 2*t^8.22 + t^8.23 + t^8.29 + 2*t^8.3 + t^8.31 - t^8.7 - t^8.71 + 3*t^8.86 + 2*t^8.87 + t^8.88 - 3*t^8.95 - 2*t^8.96 - t^8.97 + t^8.96/y^2 - t^3.99/y - t^4.97/y - t^6.94/y - t^6.95/y - t^7.03/y - (2*t^7.11)/y - (2*t^7.93)/y - t^8.01/y - t^8.09/y - t^8.1/y - t^8.92/y + t^8.99/y - t^3.99*y - t^4.97*y - t^6.94*y - t^6.95*y - t^7.03*y - 2*t^7.11*y - 2*t^7.93*y - t^8.01*y - t^8.09*y - t^8.1*y - t^8.92*y + t^8.99*y + t^8.96*y^2 | (g1^3*t^2.95)/g2^17 + t^2.96/g2^3 + g2^3*t^3.04 + g2^9*t^3.12 + (g2^23*t^3.13)/g1^3 + (g1^3*t^3.94)/g2^18 + t^3.95/g2^4 + g2^2*t^4.03 + g2^8*t^4.11 + (g2^22*t^4.11)/g1^3 + (g1^3*t^4.93)/g2^19 + t^4.93/g2^5 + g2^7*t^5.09 + (g2^21*t^5.1)/g1^3 + g2^13*t^5.17 + (g2^27*t^5.18)/g1^3 + (g1^6*t^5.9)/g2^34 + (g1^3*t^5.91)/g2^20 + t^5.92/g2^6 - 2*t^6. - (g2^14*t^6.01)/g1^3 + (g1^3*t^6.07)/g2^8 + 3*g2^6*t^6.08 + (g2^20*t^6.09)/g1^3 + 2*g2^12*t^6.16 + (g2^26*t^6.17)/g1^3 + g2^18*t^6.24 + (g2^32*t^6.25)/g1^3 + (g2^46*t^6.26)/g1^6 + (g1^6*t^6.89)/g2^35 + (2*g1^3*t^6.9)/g2^21 + t^6.91/g2^7 + (g1^3*t^6.98)/g2^15 - (g2^13*t^7.)/g1^3 + (2*g1^3*t^7.06)/g2^9 + 4*g2^5*t^7.07 + (2*g2^19*t^7.07)/g1^3 + (g1^3*t^7.14)/g2^3 + 3*g2^11*t^7.15 + (2*g2^25*t^7.15)/g1^3 + (g2^39*t^7.16)/g1^6 + g2^17*t^7.23 + (g2^31*t^7.23)/g1^3 + (g2^45*t^7.24)/g1^6 + (g1^6*t^7.64)/g2^54 + (2*g1^6*t^7.88)/g2^36 + (2*g1^3*t^7.89)/g2^22 + t^7.89/g2^8 - (g2^12*t^7.98)/g1^3 + (2*g1^3*t^8.04)/g2^10 + 4*g2^4*t^8.05 + (2*g2^18*t^8.06)/g1^3 + (g1^3*t^8.12)/g2^4 + 3*g2^10*t^8.13 + (2*g2^24*t^8.14)/g1^3 + 2*g2^16*t^8.21 + (2*g2^30*t^8.22)/g1^3 + (g2^44*t^8.23)/g1^6 + g2^22*t^8.29 + (2*g2^36*t^8.3)/g1^3 + (g2^50*t^8.31)/g1^6 - (g1^6*t^8.7)/g2^49 - (g1^3*t^8.71)/g2^35 + (g1^9*t^8.86)/g2^51 + (2*g1^6*t^8.86)/g2^37 + (2*g1^3*t^8.87)/g2^23 + t^8.88/g2^9 - (3*g1^3*t^8.95)/g2^17 - (2*t^8.96)/g2^3 - (g2^11*t^8.97)/g1^3 + t^8.96/(g2^3*y^2) - t^3.99/(g2*y) - t^4.97/(g2^2*y) - (g1^3*t^6.94)/(g2^18*y) - t^6.95/(g2^4*y) - (g2^2*t^7.03)/y - (g2^8*t^7.11)/y - (g2^22*t^7.11)/(g1^3*y) - (g1^3*t^7.93)/(g2^19*y) - t^7.93/(g2^5*y) - (g2*t^8.01)/y - (g2^7*t^8.09)/y - (g2^21*t^8.1)/(g1^3*y) - t^8.92/(g2^6*y) + (g1^3*t^8.99)/(g2^14*y) - (t^3.99*y)/g2 - (t^4.97*y)/g2^2 - (g1^3*t^6.94*y)/g2^18 - (t^6.95*y)/g2^4 - g2^2*t^7.03*y - g2^8*t^7.11*y - (g2^22*t^7.11*y)/g1^3 - (g1^3*t^7.93*y)/g2^19 - (t^7.93*y)/g2^5 - g2*t^8.01*y - g2^7*t^8.09*y - (g2^21*t^8.1*y)/g1^3 - (t^8.92*y)/g2^6 + (g1^3*t^8.99*y)/g2^14 + (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 |
---|---|---|---|---|---|---|---|---|
59397 | ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 0.8988 | 1.0413 | 0.8631 | [X:[1.3439, 1.6403], M:[1.0158], q:[0.7866, 0.0988], qb:[0.8854, 0.2609], phi:[0.3281]] | t^2.06 + t^2.95 + 2*t^3.05 + t^3.14 + t^3.84 + t^3.94 + t^4.03 + t^4.13 + t^4.92 + 2*t^5.02 + 2*t^5.11 + 2*t^5.21 + t^5.3 + t^5.91 - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*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 |
---|---|---|---|---|---|---|---|---|---|
47936 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4408 | 1.6253 | 0.8865 | [X:[1.3398], M:[1.0097], q:[0.5767, 0.5165], qb:[0.4631, 0.4631], phi:[0.3301]] | 2*t^2.939 + t^3.029 + 2*t^3.119 + 2*t^3.929 + t^4.019 + 2*t^4.11 + 2*t^4.919 + 2*t^5.1 + 2*t^5.158 + 3*t^5.878 + 2*t^5.968 - 5*t^6. - t^3.99/y - t^4.981/y - t^3.99*y - t^4.981*y | detail |