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 |
|---|---|---|---|---|---|---|---|---|---|
| 417 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8194 | [M:[1.0, 1.118, 0.9688, 0.7639], q:[0.7795, 0.4254], qb:[0.5746, 0.4566], phi:[0.441]] | [M:[[0], [4], [-18], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.292 + t^2.646 + t^2.907 + t^3. + t^3.354 + t^3.615 + t^3.875 + t^3.969 + 2*t^4.062 + t^4.323 + t^4.416 + t^4.584 + t^4.771 + t^4.938 + t^5.198 + 2*t^5.292 + t^5.646 + t^5.813 + t^5.907 - t^6. - t^6.093 + t^6.167 + 2*t^6.261 + t^6.354 - t^6.448 + 2*t^6.521 + 2*t^6.615 + 2*t^6.708 + t^6.782 + 2*t^6.875 + 2*t^6.969 + 2*t^7.062 + 2*t^7.229 + t^7.416 + 2*t^7.49 + 2*t^7.584 + t^7.677 + t^7.751 + t^7.844 + 4*t^7.938 + t^8.031 + t^8.105 + 2*t^8.125 + 2*t^8.198 - t^8.292 + t^8.459 + t^8.479 + t^8.552 + t^8.72 - 2*t^8.739 + 2*t^8.813 + 2*t^8.833 - t^4.323/y - t^6.615/y - t^7.229/y + t^7.416/y + t^7.938/y + t^8.031/y + t^8.198/y + t^8.292/y + t^8.552/y + (2*t^8.646)/y + t^8.907/y - t^4.323*y - t^6.615*y - t^7.229*y + t^7.416*y + t^7.938*y + t^8.031*y + t^8.198*y + t^8.292*y + t^8.552*y + 2*t^8.646*y + t^8.907*y | t^2.292/g1^8 + t^2.646/g1^4 + t^2.907/g1^18 + t^3. + g1^4*t^3.354 + t^3.615/g1^10 + t^3.875/g1^24 + t^3.969/g1^6 + 2*g1^12*t^4.062 + t^4.323/g1^2 + g1^16*t^4.416 + t^4.584/g1^16 + g1^20*t^4.771 + t^4.938/g1^12 + t^5.198/g1^26 + (2*t^5.292)/g1^8 + t^5.646/g1^4 + t^5.813/g1^36 + t^5.907/g1^18 - t^6. - g1^18*t^6.093 + t^6.167/g1^32 + (2*t^6.261)/g1^14 + g1^4*t^6.354 - g1^22*t^6.448 + (2*t^6.521)/g1^28 + (2*t^6.615)/g1^10 + 2*g1^8*t^6.708 + t^6.782/g1^42 + (2*t^6.875)/g1^24 + (2*t^6.969)/g1^6 + 2*g1^12*t^7.062 + (2*t^7.229)/g1^20 + g1^16*t^7.416 + (2*t^7.49)/g1^34 + (2*t^7.584)/g1^16 + g1^2*t^7.677 + t^7.751/g1^48 + t^7.844/g1^30 + (4*t^7.938)/g1^12 + g1^6*t^8.031 + t^8.105/g1^44 + 2*g1^24*t^8.125 + (2*t^8.198)/g1^26 - t^8.292/g1^8 + t^8.459/g1^40 + g1^28*t^8.479 + t^8.552/g1^22 + t^8.72/g1^54 - 2*g1^14*t^8.739 + (2*t^8.813)/g1^36 + 2*g1^32*t^8.833 - t^4.323/(g1^2*y) - t^6.615/(g1^10*y) - t^7.229/(g1^20*y) + (g1^16*t^7.416)/y + t^7.938/(g1^12*y) + (g1^6*t^8.031)/y + t^8.198/(g1^26*y) + t^8.292/(g1^8*y) + t^8.552/(g1^22*y) + (2*t^8.646)/(g1^4*y) + t^8.907/(g1^18*y) - (t^4.323*y)/g1^2 - (t^6.615*y)/g1^10 - (t^7.229*y)/g1^20 + g1^16*t^7.416*y + (t^7.938*y)/g1^12 + g1^6*t^8.031*y + (t^8.198*y)/g1^26 + (t^8.292*y)/g1^8 + (t^8.552*y)/g1^22 + (2*t^8.646*y)/g1^4 + (t^8.907*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 684 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6667 | 0.8125 | 0.8205 | [M:[1.0, 1.1111, 1.0, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.333 + t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 4*t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 3*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 2/3, c: 13/16, M1: 1, M2: 10/9, M3: 1, M4: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 690 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6402 | 0.7796 | 0.8212 | [M:[1.0, 1.0769, 1.1538, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + 2*t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + t^4.615 + t^5.077 + t^5.308 + t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 1731/2704, c: 527/676, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 689 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.688 | 0.8539 | 0.8058 | [M:[1.0, 1.1155, 0.9801, 0.769, 0.6931], q:[0.7789, 0.4323], qb:[0.5677, 0.4522], phi:[0.4422]] | t^2.079 + t^2.307 + t^2.653 + t^2.94 + t^3. + t^3.347 + t^3.634 + t^3.98 + 2*t^4.04 + t^4.159 + t^4.327 + 2*t^4.386 + t^4.614 + 2*t^4.733 + t^4.96 + t^5.02 + t^5.079 + t^5.247 + 2*t^5.307 + t^5.426 + t^5.653 + t^5.713 + t^5.881 + t^5.94 - t^6. - t^4.327/y - t^4.327*y | detail | |
| 687 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6846 | 0.8444 | 0.8107 | [M:[1.0, 1.114, 0.9869, 0.772, 0.785], q:[0.7785, 0.4365], qb:[0.5635, 0.4495], phi:[0.443]] | t^2.316 + t^2.355 + t^2.658 + t^2.961 + t^3. + t^3.342 + t^3.948 + t^3.987 + 2*t^4.026 + t^4.329 + t^4.368 + t^4.632 + t^4.671 + 2*t^4.71 + t^4.974 + t^5.013 + t^5.277 + 3*t^5.316 + t^5.355 + t^5.658 + t^5.697 + t^5.922 - t^6. - t^4.329/y - t^4.329*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 |
|---|---|---|---|---|---|---|---|---|---|
| 263 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.6492 | 0.7814 | 0.8308 | [M:[1.0, 1.1152, 0.9817], q:[0.7788, 0.4333], qb:[0.5667, 0.4515], phi:[0.4424]] | t^2.654 + t^2.945 + t^3. + t^3.346 + t^3.636 + t^3.691 + t^3.927 + t^3.982 + 2*t^4.037 + t^4.327 + t^4.382 + t^4.728 + t^5.309 + t^5.89 - t^6. - t^4.327/y - t^4.327*y | detail |