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 |
|---|---|---|---|---|---|---|---|---|---|
| 58455 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4651 | 1.6676 | 0.8786 | [X:[1.36], M:[0.9199, 0.68], q:[0.5102, 0.445], qb:[0.57, 0.555], phi:[0.32]] | [X:[[0, 2]], M:[[0, -6], [0, 1]], q:[[2, 5], [-1, 0]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.04 + t^2.76 + t^2.88 + t^3. + t^3.04 + t^3.2 + t^4. + 2*t^4.08 + t^4.16 + t^4.2 + t^4.8 + 2*t^4.92 + t^4.96 + t^5.04 + t^5.08 + t^5.12 + 2*t^5.16 + t^5.24 + t^5.36 + t^5.52 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.92 - 2*t^6. + 2*t^6.04 + t^6.08 + t^6.09 + 3*t^6.12 + t^6.2 + 2*t^6.24 + t^6.32 + t^6.39 + 2*t^6.84 + 2*t^6.88 + 2*t^6.96 + 2*t^7. + t^7.04 + t^7.05 + 4*t^7.08 + 2*t^7.12 + 4*t^7.2 + t^7.25 + 3*t^7.28 + t^7.35 + 2*t^7.4 + t^7.47 + t^7.56 + 2*t^7.68 + 3*t^7.8 + t^7.88 + 2*t^7.92 + 2*t^7.96 + t^8. + 3*t^8.01 - 2*t^8.04 + 2*t^8.08 + t^8.12 + t^8.13 + 6*t^8.16 + 3*t^8.21 + 2*t^8.24 + 3*t^8.28 + t^8.31 + 4*t^8.36 + 3*t^8.4 + t^8.43 + 2*t^8.52 + t^8.55 + 2*t^8.64 - t^8.76 - t^8.85 + t^8.88 + 3*t^8.92 + 2*t^8.97 + t^8.88/y^2 - t^3.96/y - t^4.92/y - t^6./y - t^6.72/y - t^6.84/y - (2*t^6.96)/y - t^7./y - t^7.16/y - t^7.68/y + t^7.92/y - t^7.96/y + t^8.08/y - t^8.12/y + t^8.24/y + t^8.64/y + t^8.8/y + t^8.96/y - t^3.96*y - t^4.92*y - t^6.*y - t^6.72*y - t^6.84*y - 2*t^6.96*y - t^7.*y - t^7.16*y - t^7.68*y + t^7.92*y - t^7.96*y + t^8.08*y - t^8.12*y + t^8.24*y + t^8.64*y + t^8.8*y + t^8.96*y + t^8.88*y^2 | g2*t^2.04 + t^2.76/g2^6 + t^2.88/g2^3 + t^3. + (g2*t^3.04)/g1^3 + g1^3*g2^5*t^3.2 + t^4./g1^3 + 2*g2^2*t^4.08 + g1^3*g2^4*t^4.16 + g2^5*t^4.2 + t^4.8/g2^5 + (2*t^4.92)/g2^2 + t^4.96/(g1^3*g2) + g2*t^5.04 + (g2^2*t^5.08)/g1^3 + g1^3*g2^3*t^5.12 + 2*g2^4*t^5.16 + g1^3*g2^6*t^5.24 + g1^3*g2^9*t^5.36 + t^5.52/g2^12 + t^5.64/g2^9 + (2*t^5.76)/g2^6 + t^5.88/g2^3 + t^5.92/(g1^3*g2^2) - 2*t^6. + (2*g2*t^6.04)/g1^3 + g1^3*g2^2*t^6.08 + (g2^2*t^6.09)/g1^6 + 3*g2^3*t^6.12 + g1^3*g2^5*t^6.2 + 2*g2^6*t^6.24 + g1^3*g2^8*t^6.32 + g1^6*g2^10*t^6.39 + (2*t^6.84)/g2^4 + (2*t^6.88)/(g1^3*g2^3) + (2*t^6.96)/g2 + (2*t^7.)/g1^3 + g1^3*g2*t^7.04 + (g2*t^7.05)/g1^6 + 4*g2^2*t^7.08 + (2*g2^3*t^7.12)/g1^3 + 4*g2^5*t^7.2 + (g2^6*t^7.25)/g1^3 + 3*g1^3*g2^7*t^7.28 + g1^6*g2^9*t^7.35 + 2*g1^3*g2^10*t^7.4 + g1^6*g2^12*t^7.47 + t^7.56/g2^11 + (2*t^7.68)/g2^8 + (3*t^7.8)/g2^5 + (g1^3*t^7.88)/g2^3 + (2*t^7.92)/g2^2 + (2*t^7.96)/(g1^3*g2) + g1^3*t^8. + (3*t^8.01)/g1^6 - 2*g2*t^8.04 + (2*g2^2*t^8.08)/g1^3 + g1^3*g2^3*t^8.12 + (g2^3*t^8.13)/g1^6 + 6*g2^4*t^8.16 + (3*g2^5*t^8.21)/g1^3 + 2*g1^3*g2^6*t^8.24 + t^8.28/g2^18 + 2*g2^7*t^8.28 + g1^6*g2^8*t^8.31 + 4*g1^3*g2^9*t^8.36 + t^8.4/g2^15 + 2*g2^10*t^8.4 + g1^6*g2^11*t^8.43 + (2*t^8.52)/g2^12 + g1^6*g2^14*t^8.55 + (2*t^8.64)/g2^9 - t^8.76/g2^6 - t^8.85/(g1^6*g2^4) + t^8.88/g2^3 + (3*t^8.92)/(g1^3*g2^2) + (2*t^8.97)/(g1^6*g2) + t^8.88/(g2^3*y^2) - t^3.96/(g2*y) - t^4.92/(g2^2*y) - t^6./y - t^6.72/(g2^7*y) - t^6.84/(g2^4*y) - (2*t^6.96)/(g2*y) - t^7./(g1^3*y) - (g1^3*g2^4*t^7.16)/y - t^7.68/(g2^8*y) + t^7.92/(g2^2*y) - t^7.96/(g1^3*g2*y) + (g2^2*t^8.08)/(g1^3*y) - (g1^3*g2^3*t^8.12)/y + (g1^3*g2^6*t^8.24)/y + t^8.64/(g2^9*y) + t^8.8/(g1^3*g2^5*y) + (g1^3*t^8.96)/(g2*y) - (t^3.96*y)/g2 - (t^4.92*y)/g2^2 - t^6.*y - (t^6.72*y)/g2^7 - (t^6.84*y)/g2^4 - (2*t^6.96*y)/g2 - (t^7.*y)/g1^3 - g1^3*g2^4*t^7.16*y - (t^7.68*y)/g2^8 + (t^7.92*y)/g2^2 - (t^7.96*y)/(g1^3*g2) + (g2^2*t^8.08*y)/g1^3 - g1^3*g2^3*t^8.12*y + g1^3*g2^6*t^8.24*y + (t^8.64*y)/g2^9 + (t^8.8*y)/(g1^3*g2^5) + (g1^3*t^8.96*y)/g2 + (t^8.88*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57374 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.4756 | 1.6805 | 0.8781 | [X:[1.3492], M:[0.9524, 0.6746], q:[0.5238, 0.5], qb:[0.5238, 0.5], phi:[0.3254]] | t^2.024 + t^2.857 + t^2.929 + t^3. + 2*t^3.071 + 4*t^4.048 + t^4.119 + t^4.881 + 2*t^4.952 + 3*t^5.024 + 3*t^5.095 + 2*t^5.548 + 2*t^5.619 + t^5.715 + t^5.786 + 2*t^5.857 + t^5.929 - t^6. - t^3.976/y - t^4.952/y - t^6./y - t^3.976*y - t^4.952*y - t^6.*y | detail |