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 |
|---|---|---|---|---|---|---|---|---|---|
| 57617 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4537 | 1.644 | 0.8843 | [X:[1.3275], M:[0.9913], q:[0.4912, 0.4999], qb:[0.5088, 0.4826], phi:[0.3362]] | [X:[[0, 2]], M:[[0, 3]], q:[[-1, 9], [-1, 6]], qb:[[1, -9], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.92 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.93 + t^3.96 + t^3.98 + t^4.01 + t^4.03 + t^4.94 + t^4.97 + t^5.02 + t^5.04 + t^5.43 + t^5.46 + t^5.48 + t^5.51 + t^5.84 + t^5.87 + 2*t^5.9 + t^5.92 + 3*t^5.95 + t^5.97 - 2*t^6. + t^6.05 - t^6.08 + t^6.44 + t^6.46 + t^6.49 + t^6.52 + t^6.85 + 2*t^6.88 + 3*t^6.9 + 3*t^6.93 + 5*t^6.96 + 3*t^6.98 + t^7.03 + t^7.06 - t^7.09 + t^7.37 + t^7.45 + t^7.53 + t^7.61 + 2*t^7.86 + 3*t^7.89 + 3*t^7.91 + 3*t^7.94 + 6*t^7.97 + 3*t^7.99 + t^8.02 + 2*t^8.04 + 2*t^8.07 - t^8.1 + t^8.35 + 2*t^8.38 + 2*t^8.4 + 2*t^8.43 + 2*t^8.46 - t^8.51 - 2*t^8.53 + t^8.54 - 2*t^8.56 - t^8.59 + t^8.76 + t^8.79 + 2*t^8.82 + 2*t^8.84 + 4*t^8.87 + 4*t^8.9 - t^8.95 + 2*t^8.97 - t^4.01/y - t^5.02/y - t^6.93/y - t^6.96/y - t^6.98/y - t^7.01/y - t^7.03/y - t^7.94/y - t^7.97/y - t^7.99/y - t^8.02/y - t^8.04/y + t^8.87/y + t^8.9/y + (2*t^8.92)/y + t^8.95/y + t^8.97/y - t^4.01*y - t^5.02*y - t^6.93*y - t^6.96*y - t^6.98*y - t^7.01*y - t^7.03*y - t^7.94*y - t^7.97*y - t^7.99*y - t^8.02*y - t^8.04*y + t^8.87*y + t^8.9*y + 2*t^8.92*y + t^8.95*y + t^8.97*y | g2^9*t^2.92 + g2^6*t^2.95 + g2^3*t^2.97 + t^3. + t^3.03/g2^3 + g2^8*t^3.93 + g2^5*t^3.96 + g2^2*t^3.98 + t^4.01/g2 + t^4.03/g2^4 + g2^7*t^4.94 + g2^4*t^4.97 + t^5.02/g2^2 + t^5.04/g2^5 + (g1^3*t^5.43)/g2^10 + (g2^23*t^5.46)/g1^3 + (g2^20*t^5.48)/g1^3 + (g1^3*t^5.51)/g2^19 + g2^18*t^5.84 + g2^15*t^5.87 + 2*g2^12*t^5.9 + g2^9*t^5.92 + 3*g2^6*t^5.95 + g2^3*t^5.97 - 2*t^6. + t^6.05/g2^6 - t^6.08/g2^9 + (g1^3*t^6.44)/g2^11 + (g2^22*t^6.46)/g1^3 + (g2^19*t^6.49)/g1^3 + (g1^3*t^6.52)/g2^20 + g2^17*t^6.85 + 2*g2^14*t^6.88 + 3*g2^11*t^6.9 + 3*g2^8*t^6.93 + 5*g2^5*t^6.96 + 3*g2^2*t^6.98 + t^7.03/g2^4 + t^7.06/g2^7 - t^7.09/g2^10 + (g1^3*t^7.37)/g2^3 + (g1^3*t^7.45)/g2^12 - (g1^3*t^7.47)/g2^15 + (g2^21*t^7.47)/g1^3 - (g1^3*t^7.5)/g2^18 + (g2^18*t^7.5)/g1^3 + (g1^3*t^7.53)/g2^21 + (g1^3*t^7.61)/g2^30 + 2*g2^16*t^7.86 + 3*g2^13*t^7.89 + 3*g2^10*t^7.91 + 3*g2^7*t^7.94 + 6*g2^4*t^7.97 + 3*g2*t^7.99 + t^8.02/g2^2 + (2*t^8.04)/g2^5 + (2*t^8.07)/g2^8 - t^8.1/g2^11 + (g1^3*t^8.35)/g2 + (g1^3*t^8.38)/g2^4 + (g2^32*t^8.38)/g1^3 + (2*g2^29*t^8.4)/g1^3 + (g1^3*t^8.43)/g2^10 + (g2^26*t^8.43)/g1^3 + (2*g1^3*t^8.46)/g2^13 - (g1^3*t^8.48)/g2^16 + (g2^20*t^8.48)/g1^3 - (g1^3*t^8.51)/g2^19 - (2*g2^14*t^8.53)/g1^3 + (g1^3*t^8.54)/g2^22 - (g1^3*t^8.56)/g2^25 - (g2^11*t^8.56)/g1^3 - (g1^3*t^8.59)/g2^28 + g2^27*t^8.76 + g2^24*t^8.79 + 2*g2^21*t^8.82 + 2*g2^18*t^8.84 + 4*g2^15*t^8.87 + 4*g2^12*t^8.9 - g2^6*t^8.95 + 2*g2^3*t^8.97 - t^4.01/(g2*y) - t^5.02/(g2^2*y) - (g2^8*t^6.93)/y - (g2^5*t^6.96)/y - (g2^2*t^6.98)/y - t^7.01/(g2*y) - t^7.03/(g2^4*y) - (g2^7*t^7.94)/y - (g2^4*t^7.97)/y - (g2*t^7.99)/y - t^8.02/(g2^2*y) - t^8.04/(g2^5*y) + (g2^15*t^8.87)/y + (g2^12*t^8.9)/y + (2*g2^9*t^8.92)/y + (g2^6*t^8.95)/y + (g2^3*t^8.97)/y - (t^4.01*y)/g2 - (t^5.02*y)/g2^2 - g2^8*t^6.93*y - g2^5*t^6.96*y - g2^2*t^6.98*y - (t^7.01*y)/g2 - (t^7.03*y)/g2^4 - g2^7*t^7.94*y - g2^4*t^7.97*y - g2*t^7.99*y - (t^8.02*y)/g2^2 - (t^8.04*y)/g2^5 + g2^15*t^8.87*y + g2^12*t^8.9*y + 2*g2^9*t^8.92*y + g2^6*t^8.95*y + g2^3*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 60156 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$ | 1.4532 | 1.6414 | 0.8853 | [X:[1.3314], M:[0.9971, 1.0029], q:[0.4971, 0.5], qb:[0.5029, 0.4941], phi:[0.3343]] | t^2.97 + t^2.98 + t^3. + 2*t^3.01 + t^3.98 + 2*t^3.99 + t^4. + t^4.01 + t^4.98 + t^4.99 + 2*t^5.01 + t^5.48 + 2*t^5.49 + t^5.5 + t^5.95 + 2*t^5.96 + 3*t^5.98 + t^5.99 - 3*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
| 59456 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4745 | 1.6845 | 0.8753 | [X:[1.328], M:[0.992, 0.68], q:[0.492, 0.4999], qb:[0.508, 0.4841], phi:[0.336]] | t^2.04 + t^2.93 + t^2.95 + t^2.98 + t^3. + t^3.02 + t^3.94 + t^3.98 + t^4.01 + t^4.03 + t^4.08 + t^4.94 + 2*t^4.97 + t^4.99 + 2*t^5.02 + 2*t^5.04 + t^5.06 + t^5.44 + t^5.46 + t^5.48 + t^5.51 + t^5.86 + t^5.88 + 2*t^5.9 + t^5.93 + 3*t^5.95 + 2*t^5.98 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 60599 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4548 | 1.6477 | 0.8829 | [X:[1.3237], M:[0.9856, 0.9856], q:[0.4854, 0.4998], qb:[0.5146, 0.4714], phi:[0.3381]] | t^2.87 + t^2.91 + 2*t^2.96 + t^3. + t^3.88 + t^3.93 + t^3.97 + t^4.01 + t^4.06 + t^4.9 + t^4.94 + t^5.03 + t^5.07 + t^5.39 + t^5.43 + t^5.47 + t^5.52 + t^5.74 + t^5.78 + 3*t^5.83 + 2*t^5.87 + 4*t^5.91 + t^5.96 - 3*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47930 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.866 + t^2.914 + t^2.976 + t^3. + t^3.049 + t^3.906 + t^3.992 + t^4.016 + t^4.041 + t^4.126 + t^4.898 + t^4.984 + t^5.033 + t^5.118 + t^5.463 + t^5.484 + t^5.57 + t^5.597 + t^5.731 + t^5.78 + t^5.829 + t^5.841 + t^5.89 + t^5.914 + t^5.951 + t^5.963 + t^5.976 - 3*t^6. - t^3.992/y - t^4.984/y - t^3.992*y - t^4.984*y | detail |