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 |
|---|---|---|---|---|---|---|---|---|---|
| 57369 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.3358 | 1.5358 | 0.8698 | [X:[1.2666, 1.3667], M:[0.8335, 1.0], q:[0.5832, 0.3166], qb:[0.5832, 0.3166], phi:[0.3667]] | [X:[[0, 0, -2], [0, 0, 1]], M:[[0, 0, 5], [0, 0, 0]], q:[[-1, 0, -5], [0, -1, -1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.501 + 2*t^2.7 + t^3. + t^3.3 + 3*t^3.8 + 2*t^4.1 + t^4.6 + 2*t^4.75 + 2*t^4.9 + t^5.001 + 3*t^5.399 + t^5.501 + 2*t^5.55 + 3*t^5.7 + t^5.801 + 2*t^5.85 - t^6. + 2*t^6.15 + 2*t^6.3 + 6*t^6.499 + 3*t^6.601 + 2*t^6.65 + 4*t^6.8 + 3*t^7.1 + 2*t^7.299 + 2*t^7.4 + 4*t^7.449 + t^7.502 + 8*t^7.6 + 2*t^7.75 + 5*t^7.9 + t^8.001 - 2*t^8.05 + 4*t^8.099 + 4*t^8.2 + 4*t^8.249 + t^8.301 + 7*t^8.399 - 2*t^8.501 + 10*t^8.55 + 2*t^8.651 + 3*t^8.7 + 2*t^8.801 + 2*t^8.85 - t^4.1/y - t^5.2/y - t^6.601/y - (2*t^6.8)/y - t^7.4/y - t^7.701/y - (2*t^7.9)/y + t^8.399/y + (2*t^8.7)/y + t^8.801/y - t^4.1*y - t^5.2*y - t^6.601*y - 2*t^6.8*y - t^7.4*y - t^7.701*y - 2*t^7.9*y + t^8.399*y + 2*t^8.7*y + t^8.801*y | g3^5*t^2.501 + (g2*t^2.7)/(g1*g3^5) + (g1*t^2.7)/(g2*g3) + t^3. + g3^3*t^3.3 + (g1*t^3.8)/g2 + (g2*t^3.8)/(g1*g3^4) + t^3.8/g3^2 + 2*g3*t^4.1 + t^4.6/g3^4 + t^4.75/(g1*g2^2*g3^6) + g1*g2^2*g3*t^4.75 + (g2*t^4.9)/(g1*g3^3) + (g1*g3*t^4.9)/g2 + g3^10*t^5.001 + (g2^2*t^5.399)/(g1^2*g3^10) + t^5.399/g3^6 + (g1^2*t^5.399)/(g2^2*g3^2) + g3^5*t^5.501 + t^5.55/(g1^2*g2*g3^10) + g1^2*g2*g3*t^5.55 + (g2*t^5.7)/(g1*g3^5) + t^5.7/g3^3 + (g1*t^5.7)/(g2*g3) + g3^8*t^5.801 + t^5.85/(g1*g2^2*g3^5) + g1*g2^2*g3^2*t^5.85 - 3*t^6. + (g2*t^6.)/(g1*g3^2) + (g1*g3^2*t^6.)/g2 + t^6.15/g2^3 + g2^3*g3^3*t^6.15 + 2*g3^3*t^6.3 + (g2^2*t^6.499)/(g1^2*g3^9) + (g2*t^6.499)/(g1*g3^7) + (2*t^6.499)/g3^5 + (g1*t^6.499)/(g2*g3^3) + (g1^2*t^6.499)/(g2^2*g3) + 3*g3^6*t^6.601 + t^6.65/(g1^2*g2*g3^9) + g1^2*g2*g3^2*t^6.65 + (2*g1*t^6.8)/g2 + (2*g2*t^6.8)/(g1*g3^4) - t^6.95/(g1^2*g2*g3^6) + t^6.95/(g1*g2^2*g3^4) + g1*g2^2*g3^3*t^6.95 - g1^2*g2*g3^5*t^6.95 + (g2*t^7.1)/(g1*g3) + g3*t^7.1 + (g1*g3^3*t^7.1)/g2 + (g2*t^7.299)/(g1*g3^9) + (g1*t^7.299)/(g2*g3^5) + 2*g3^4*t^7.4 + g1^2*g2*t^7.449 + t^7.449/(g1^2*g2*g3^11) + t^7.449/(g2^3*g3^7) + (g2^3*t^7.449)/g3^4 + g3^15*t^7.502 + (2*g1^2*t^7.6)/g2^2 + (2*g2^2*t^7.6)/(g1^2*g3^8) + (4*t^7.6)/g3^4 + t^7.75/(g1^2*g2*g3^8) + g1^2*g2*g3^3*t^7.75 + (2*g2*t^7.9)/(g1*g3^3) + t^7.9/g3 + (2*g1*g3*t^7.9)/g2 + g3^10*t^8.001 - t^8.05/(g1^2*g2*g3^5) + t^8.05/(g1*g2^2*g3^3) - t^8.05/(g2^3*g3) - g2^3*g3^2*t^8.05 + g1*g2^2*g3^4*t^8.05 - g1^2*g2*g3^6*t^8.05 + (g2^3*t^8.099)/(g1^3*g3^15) + (g2*t^8.099)/(g1*g3^11) + (g1*t^8.099)/(g2*g3^7) + (g1^3*t^8.099)/(g2^3*g3^3) + (g2*t^8.2)/g1 + 2*g3^2*t^8.2 + (g1*g3^4*t^8.2)/g2 + g1^3*t^8.249 + t^8.249/(g1^3*g3^15) + t^8.249/(g1*g2^2*g3^11) + (g1*g2^2*t^8.249)/g3^4 + g3^13*t^8.301 + (g2^2*t^8.399)/(g1^2*g3^10) + (2*g2*t^8.399)/(g1*g3^8) + t^8.399/g3^6 + (2*g1*t^8.399)/(g2*g3^4) + (g1^2*t^8.399)/(g2^2*g3^2) - 2*g3^5*t^8.501 + t^8.55/(g1^3*g3^12) + (2*t^8.55)/(g1^2*g2*g3^10) + (2*t^8.55)/(g2^3*g3^6) + (2*g2^3*t^8.55)/g3^3 + 2*g1^2*g2*g3*t^8.55 + g1^3*g3^3*t^8.55 + (g3^5*t^8.651)/g2^3 + g2^3*g3^8*t^8.651 + (2*g2^2*t^8.7)/(g1^2*g3^7) - (3*g2*t^8.7)/(g1*g3^5) + (5*t^8.7)/g3^3 - (3*g1*t^8.7)/(g2*g3) + (2*g1^2*g3*t^8.7)/g2^2 + 2*g3^8*t^8.801 - g2^3*t^8.85 - t^8.85/(g1^3*g3^9) + t^8.85/(g1^2*g2*g3^7) + t^8.85/(g1*g2^2*g3^5) - t^8.85/(g2^3*g3^3) + (g2^4*t^8.85)/(g1*g3^2) + (g1*t^8.85)/(g2^4*g3) + g1*g2^2*g3^2*t^8.85 + g1^2*g2*g3^4*t^8.85 - g1^3*g3^6*t^8.85 - (g3*t^4.1)/y - (g3^2*t^5.2)/y - (g3^6*t^6.601)/y - (g1*t^6.8)/(g2*y) - (g2*t^6.8)/(g1*g3^4*y) - (g3^4*t^7.4)/y - (g3^7*t^7.701)/y - (g2*t^7.9)/(g1*g3^3*y) - (g1*g3*t^7.9)/(g2*y) + (g2*t^8.2)/(g1*y) - (2*g3^2*t^8.2)/y + (g1*g3^4*t^8.2)/(g2*y) + t^8.399/(g3^6*y) + (g2*t^8.7)/(g1*g3^5*y) + (g1*t^8.7)/(g2*g3*y) + (g3^8*t^8.801)/y - g3*t^4.1*y - g3^2*t^5.2*y - g3^6*t^6.601*y - (g1*t^6.8*y)/g2 - (g2*t^6.8*y)/(g1*g3^4) - g3^4*t^7.4*y - g3^7*t^7.701*y - (g2*t^7.9*y)/(g1*g3^3) - (g1*g3*t^7.9*y)/g2 + (g2*t^8.2*y)/g1 - 2*g3^2*t^8.2*y + (g1*g3^4*t^8.2*y)/g2 + (t^8.399*y)/g3^6 + (g2*t^8.7*y)/(g1*g3^5) + (g1*t^8.7*y)/(g2*g3) + g3^8*t^8.801*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 58460 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.3557 | 1.5727 | 0.862 | [X:[1.2693, 1.3653], M:[0.8267, 1.0, 0.7201], q:[0.58, 0.3213], qb:[0.5932, 0.3133], phi:[0.3653]] | t^2.16 + t^2.48 + t^2.68 + t^2.74 + t^3. + t^3.29 + t^3.78 + t^3.81 + 2*t^4.1 + t^4.32 + t^4.62 + t^4.64 + 2*t^4.76 + t^4.84 + t^4.87 + t^4.9 + t^4.94 + t^4.96 + t^5.16 + t^5.36 + t^5.42 + t^5.45 + t^5.48 + t^5.49 + t^5.54 + t^5.6 + t^5.68 + t^5.71 + t^5.74 + t^5.77 + t^5.85 + t^5.86 + t^5.94 + 2*t^5.97 - 3*t^6. - t^4.1/y - t^5.19/y - t^4.1*y - t^5.19*y | detail | |
| 58461 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{3}X_{1}$ | 1.3555 | 1.5718 | 0.8624 | [X:[1.2697, 1.3651], M:[0.8257, 1.0, 0.7303], q:[0.5872, 0.3174], qb:[0.5872, 0.3174], phi:[0.3651]] | t^2.19 + t^2.48 + 2*t^2.71 + t^3. + t^3.29 + 2*t^3.81 + 2*t^4.1 + t^4.38 + t^4.62 + t^4.67 + 2*t^4.76 + 4*t^4.9 + t^4.95 + t^5.19 + 3*t^5.43 + 2*t^5.48 + 2*t^5.57 + 3*t^5.71 + t^5.76 + 2*t^5.86 + t^6. - t^4.1/y - t^5.19/y - t^4.1*y - t^5.19*y | detail | |
| 58456 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2507 | 1.4402 | 0.8685 | [X:[1.323, 1.3385], M:[0.6925, 1.0], q:[0.7665, 0.4475], qb:[0.5409, 0.214], phi:[0.3385]] | t^2.08 + t^2.94 + t^2.97 + t^3. + t^3.05 + t^3.92 + t^3.96 + t^3.97 + t^3.98 + 2*t^4.02 + t^4.16 + t^4.9 + 2*t^4.94 + 2*t^4.97 + t^5. + t^5.08 + t^5.12 + t^5.88 + t^5.91 + t^5.92 + t^5.93 + t^5.94 + 2*t^5.95 + t^5.99 - 2*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y | detail | |
| 58458 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.3344 | 1.5336 | 0.8701 | [X:[1.2709, 1.3646], M:[0.8228, 1.0], q:[0.6023, 0.3343], qb:[0.5749, 0.3012], phi:[0.3646]] | t^2.47 + t^2.71 + t^2.73 + t^3. + t^3.28 + t^3.8 + t^3.81 + t^3.82 + 2*t^4.09 + 2*t^4.63 + t^4.9 + 2*t^4.91 + t^4.94 + t^5.42 + t^5.44 + t^5.45 + t^5.46 + t^5.47 + 2*t^5.71 + 2*t^5.72 + t^5.73 + t^5.75 + 2*t^5.99 - 2*t^6. - t^4.09/y - t^5.19/y - t^4.09*y - t^5.19*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47893 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4759 | 1.6818 | 0.8776 | [X:[1.3444], M:[0.9513, 0.6879], q:[0.5244, 0.4922], qb:[0.5244, 0.4922], phi:[0.3278]] | t^2.064 + t^2.854 + t^2.95 + t^2.953 + 2*t^3.05 + 3*t^4.033 + t^4.127 + t^4.13 + t^4.917 + t^4.92 + t^5.014 + 3*t^5.017 + 3*t^5.113 + 2*t^5.51 + 2*t^5.606 + t^5.708 + t^5.804 + t^5.807 + t^5.901 + t^5.903 + t^5.906 - 2*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |