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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | [X:[[0, 0, 2]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -2 | t^2.378 + t^2.716 + 3*t^3.284 + 5*t^4.189 + t^4.757 + 2*t^5.095 + 2*t^5.378 + t^5.433 + 3*t^5.662 - 2*t^6. + 6*t^6.284 + 11*t^6.567 - 2*t^6.905 + t^7.135 + 16*t^7.473 + 2*t^7.757 - t^7.811 + 3*t^8.04 - 6*t^8.095 + t^8.149 + 12*t^8.378 + 12*t^8.662 + 11*t^8.946 + t^8.716/y^2 - t^3.905/y - t^4.811/y - t^6.284/y - t^6.622/y - (3*t^7.189)/y - t^7.527/y - (3*t^8.095)/y + (2*t^8.662)/y - t^3.905*y - t^4.811*y - t^6.284*y - t^6.622*y - 3*t^7.189*y - t^7.527*y - 3*t^8.095*y + 2*t^8.662*y + t^8.716*y^2 | g3^4*t^2.378 + t^2.716/g3^3 + (g2*g3^2*t^3.284)/g1 + g3^3*t^3.284 + (g1*g3^4*t^3.284)/g2 + (g2*g3*t^4.189)/g1 + 3*g3^2*t^4.189 + (g1*g3^3*t^4.189)/g2 + g3^8*t^4.757 + 2*g3*t^5.095 + (g1*g2^2*t^5.378)/g3 + (g3^9*t^5.378)/(g1*g2^2) + t^5.433/g3^6 + (g2*g3^6*t^5.662)/g1 + g3^7*t^5.662 + (g1*g3^8*t^5.662)/g2 - 2*t^6. + (g2^3*t^6.284)/g3^3 + (g1*g2^2*t^6.284)/g3^2 + (g1^2*g2*t^6.284)/g3 + (g3^7*t^6.284)/(g1^2*g2) + (g3^8*t^6.284)/(g1*g2^2) + (g3^9*t^6.284)/g2^3 + (g2^2*g3^4*t^6.567)/g1^2 + (2*g2*g3^5*t^6.567)/g1 + 5*g3^6*t^6.567 + (2*g1*g3^7*t^6.567)/g2 + (g1^2*g3^8*t^6.567)/g2^2 - (g1*t^6.905)/g2 - (g2*t^6.905)/(g1*g3^2) + g3^12*t^7.135 + (g2^2*g3^3*t^7.473)/g1^2 + (4*g2*g3^4*t^7.473)/g1 + 6*g3^5*t^7.473 + (4*g1*g3^6*t^7.473)/g2 + (g1^2*g3^7*t^7.473)/g2^2 + g1*g2^2*g3^3*t^7.757 + (g3^13*t^7.757)/(g1*g2^2) - (g2*t^7.811)/(g1*g3^3) + t^7.811/g3^2 - (g1*t^7.811)/(g2*g3) + (g2*g3^10*t^8.04)/g1 + g3^11*t^8.04 + (g1*g3^12*t^8.04)/g2 - (g2^3*t^8.095)/g3^5 - (g1*g2^2*t^8.095)/g3^4 - (g1^2*g2*t^8.095)/g3^3 - (g3^5*t^8.095)/(g1^2*g2) - (g3^6*t^8.095)/(g1*g2^2) - (g3^7*t^8.095)/g2^3 + t^8.149/g3^9 + (g2^2*g3^2*t^8.378)/g1^2 + (3*g2*g3^3*t^8.378)/g1 + 4*g3^4*t^8.378 + (3*g1*g3^5*t^8.378)/g2 + (g1^2*g3^6*t^8.378)/g2^2 + 2*g2^3*g3*t^8.662 + 2*g1*g2^2*g3^2*t^8.662 + 2*g1^2*g2*g3^3*t^8.662 + (2*g3^11*t^8.662)/(g1^2*g2) + (2*g3^12*t^8.662)/(g1*g2^2) + (2*g3^13*t^8.662)/g2^3 + (g2^2*g3^8*t^8.946)/g1^2 + (2*g2*g3^9*t^8.946)/g1 + 5*g3^10*t^8.946 + (2*g1*g3^11*t^8.946)/g2 + (g1^2*g3^12*t^8.946)/g2^2 + t^8.716/(g3^3*y^2) - t^3.905/(g3*y) - t^4.811/(g3^2*y) - (g3^3*t^6.284)/y - t^6.622/(g3^4*y) - (g2*g3*t^7.189)/(g1*y) - (g3^2*t^7.189)/y - (g1*g3^3*t^7.189)/(g2*y) - t^7.527/(g3^5*y) - (g2*t^8.095)/(g1*y) - (g3*t^8.095)/y - (g1*g3^2*t^8.095)/(g2*y) + (g2*g3^6*t^8.662)/(g1*y) + (g1*g3^8*t^8.662)/(g2*y) - (t^3.905*y)/g3 - (t^4.811*y)/g3^2 - g3^3*t^6.284*y - (t^6.622*y)/g3^4 - (g2*g3*t^7.189*y)/g1 - g3^2*t^7.189*y - (g1*g3^3*t^7.189*y)/g2 - (t^7.527*y)/g3^5 - (g2*t^8.095*y)/g1 - g3*t^8.095*y - (g1*g3^2*t^8.095*y)/g2 + (g2*g3^6*t^8.662*y)/g1 + (g1*g3^8*t^8.662*y)/g2 + (t^8.716*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47891 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3396 | 1.5052 | 0.8899 | [X:[1.4109], M:[0.8836], q:[0.7055, 0.4109], qb:[0.7055, 0.4109], phi:[0.2945]] | t^2.466 + 2*t^2.651 + 2*t^3.349 + 5*t^4.233 + t^4.931 + 3*t^5.116 + 3*t^5.302 + 2*t^5.466 + 2*t^5.815 - t^6. - t^3.884/y - t^4.767/y - t^3.884*y - t^4.767*y | detail | |
| 47881 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail | |
| 47948 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0831 | 1.1944 | 0.9068 | [X:[1.5365], q:[1.0773, 0.3819], qb:[0.4592, 0.691], phi:[0.2318]] | t^2.086 + t^2.523 + 2*t^3.219 + t^3.914 + t^4.172 + 3*t^4.609 + t^5.047 + 2*t^5.305 + 2*t^5.523 + 2*t^5.742 - 2*t^6. - t^3.695/y - t^4.391/y - t^5.781/y - t^3.695*y - t^4.391*y - t^5.781*y | detail | |
| 47945 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4286], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | 2*t^2.571 + 3*t^3.429 + 5*t^4.286 + 4*t^5.143 + 2*t^5.571 + t^6. - t^3.857/y - t^4.714/y - t^3.857*y - t^4.714*y | detail | {a: 7275/5488, c: 2027/1372, X1: 10/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
| 47938 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3158 | 1.4669 | 0.897 | [X:[1.4303], q:[0.6687, 0.3839], qb:[0.7616, 0.4768], phi:[0.2848]] | t^2.563 + t^2.582 + 3*t^3.437 + 5*t^4.291 + t^5.127 + 2*t^5.146 + 2*t^5.164 - t^6. - t^3.854/y - t^4.709/y - t^3.854*y - t^4.709*y | detail | |
| 47907 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3267 | 1.4817 | 0.8954 | [X:[1.4202], q:[0.7296, 0.4105], qb:[0.6907, 0.43], phi:[0.2899]] | t^2.521 + t^2.609 + t^3.304 + t^3.391 + t^3.479 + t^4.173 + 3*t^4.261 + t^4.348 + t^5.043 + 2*t^5.13 + t^5.218 + 2*t^5.521 + t^5.825 + t^5.913 - t^6. - t^3.87/y - t^4.739/y - t^3.87*y - t^4.739*y | detail | |
| 47929 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2861 | 1.4111 | 0.9114 | [X:[1.5], q:[0.75, 0.5], qb:[0.75, 0.5], phi:[0.25]] | t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 2*t^5.25 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 1317/1024, c: 1445/1024, X1: 3/2, q1: 3/4, q2: 1/2, qb1: 3/4, qb2: 1/2, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | ${}$ | 1.4743 | 1.6854 | 0.8748 | [q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.026 + 4*t^2.96 + t^3.04 + 4*t^3.974 + t^4.053 + 8*t^4.987 + t^5.066 + 4*t^5.454 + 10*t^5.921 - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |