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 |
|---|---|---|---|---|---|---|---|---|---|
| 1124 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6744 | 0.8272 | 0.8153 | [M:[1.0, 1.1111, 1.0, 0.7778, 0.7778, 1.1111], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | [M:[[1], [0], [-1], [-1], [1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 437/648, c: 67/81, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, M6: 10/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | 2*t^2.333 + 2*t^3. + 2*t^3.333 + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 4*t^5.333 + 2*t^5.667 - 2*t^6. + 8*t^6.333 + 4*t^6.667 + 8*t^7. + 4*t^7.333 + 6*t^7.667 + 8*t^8. - 2*t^8.333 + 12*t^8.667 - t^4.333/y - (2*t^6.667)/y + t^7./y + (2*t^8.)/y + (4*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - 2*t^6.667*y + t^7.*y + 2*t^8.*y + 4*t^8.333*y + 4*t^8.667*y | t^2.333/g1 + g1*t^2.333 + t^3./g1 + g1*t^3. + 2*t^3.333 + 2*t^4. + t^4./g1^2 + g1^2*t^4. + t^4.333/g1 + g1*t^4.333 + 2*t^4.667 + t^4.667/g1^2 + g1^2*t^4.667 + 2*t^5.333 + t^5.333/g1^2 + g1^2*t^5.333 + t^5.667/g1 + g1*t^5.667 - 2*t^6. + t^6.333/g1^3 + (3*t^6.333)/g1 + 3*g1*t^6.333 + g1^3*t^6.333 + 2*t^6.667 + t^6.667/g1^2 + g1^2*t^6.667 + (2*t^7.)/g1^3 + (2*t^7.)/g1 + 2*g1*t^7. + 2*g1^3*t^7. + 2*t^7.333 + t^7.333/g1^2 + g1^2*t^7.333 + t^7.667/g1^3 + (2*t^7.667)/g1 + 2*g1*t^7.667 + g1^3*t^7.667 + 2*t^8. + t^8./g1^4 + (2*t^8.)/g1^2 + 2*g1^2*t^8. + g1^4*t^8. + t^8.333/g1^3 - (2*t^8.333)/g1 - 2*g1*t^8.333 + g1^3*t^8.333 + 4*t^8.667 + t^8.667/g1^4 + (3*t^8.667)/g1^2 + 3*g1^2*t^8.667 + g1^4*t^8.667 - t^4.333/y - t^6.667/(g1*y) - (g1*t^6.667)/y + t^7./y + t^8./(g1*y) + (g1*t^8.)/y + (2*t^8.333)/y + t^8.333/(g1^2*y) + (g1^2*t^8.333)/y + (2*t^8.667)/(g1*y) + (2*g1*t^8.667)/y - t^4.333*y - (t^6.667*y)/g1 - g1*t^6.667*y + t^7.*y + (t^8.*y)/g1 + g1*t^8.*y + 2*t^8.333*y + (t^8.333*y)/g1^2 + g1^2*t^8.333*y + (2*t^8.667*y)/g1 + 2*g1*t^8.667*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 |
|---|---|---|---|---|---|---|---|---|
| 2162 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6754 | 0.8294 | 0.8142 | [M:[1.0208, 1.1111, 0.9792, 0.757, 0.7985, 1.1111, 0.9792], q:[0.7778, 0.4237], qb:[0.5556, 0.4652], phi:[0.4444]] | t^2.271 + t^2.396 + 2*t^2.938 + 2*t^3.333 + t^3.875 + 2*t^4. + t^4.125 + t^4.271 + t^4.396 + t^4.542 + 2*t^4.667 + t^4.791 + 2*t^5.209 + 2*t^5.333 + t^5.604 + t^5.729 + 2*t^5.875 - 3*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 696 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6844 | 0.8441 | 0.8108 | [M:[1.0, 1.1111, 1.0, 0.7778, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 2*t^3. + t^3.333 + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 2*t^5. + 5*t^5.333 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 887/1296, c: 547/648, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |