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 |
|---|---|---|---|---|---|---|---|---|---|
| 4356 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7243 | 0.8996 | 0.8051 | [M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | [M:[[1], [0], [-1], [1], [-1], [0], [0], [1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$ | ${}$ | -2 | t^2.251 + t^2.333 + t^2.416 + 2*t^2.917 + t^3. + t^3.333 + t^3.667 + t^4.251 + t^4.333 + t^4.416 + t^4.501 + t^4.584 + 2*t^4.667 + t^4.749 + t^4.832 + t^4.834 + t^4.917 + 2*t^5. + t^5.083 + t^5.166 + 2*t^5.168 + 2*t^5.251 + 2*t^5.333 + t^5.584 + t^5.667 + t^5.749 + 2*t^5.834 + t^5.917 - 2*t^6. - t^6.083 - t^6.166 + 2*t^6.251 + t^6.333 + t^6.501 + 2*t^6.584 + 2*t^6.667 + t^6.752 + t^6.832 + t^6.834 + 2*t^6.917 + 2*t^7. + 2*t^7.083 + t^7.085 + t^7.166 + 3*t^7.168 + t^7.248 + 4*t^7.251 + 4*t^7.333 + 2*t^7.416 + 2*t^7.418 + t^7.499 + 2*t^7.501 + t^7.582 + 3*t^7.584 + t^7.667 + t^7.749 + 2*t^7.752 + 3*t^7.834 + 4*t^7.917 + 3*t^8. + 2*t^8.083 + 2*t^8.085 + t^8.166 + 2*t^8.168 - 2*t^8.251 - 4*t^8.333 - 5*t^8.416 - t^8.499 + 3*t^8.501 - t^8.582 + 2*t^8.584 + 3*t^8.667 + 3*t^8.752 + t^8.832 + t^8.834 - 4*t^8.917 - t^4.333/y - t^6.584/y - t^6.667/y - t^6.749/y - t^7.251/y + t^7.416/y + t^7.584/y + t^7.667/y + t^7.749/y + t^7.917/y + t^8./y + t^8.083/y + (2*t^8.168)/y + (3*t^8.251)/y + (3*t^8.333)/y + t^8.416/y + t^8.584/y + t^8.667/y + t^8.749/y + (2*t^8.917)/y - t^4.333*y - t^6.584*y - t^6.667*y - t^6.749*y - t^7.251*y + t^7.416*y + t^7.584*y + t^7.667*y + t^7.749*y + t^7.917*y + t^8.*y + t^8.083*y + 2*t^8.168*y + 3*t^8.251*y + 3*t^8.333*y + t^8.416*y + t^8.584*y + t^8.667*y + t^8.749*y + 2*t^8.917*y | g1*t^2.251 + t^2.333 + t^2.416/g1 + 2*g1*t^2.917 + t^3. + t^3.333 + t^3.667 + g1*t^4.251 + t^4.333 + t^4.416/g1 + g1^2*t^4.501 + g1*t^4.584 + 2*t^4.667 + t^4.749/g1 + t^4.832/g1^2 + g1^2*t^4.834 + g1*t^4.917 + 2*t^5. + t^5.083/g1 + t^5.166/g1^2 + 2*g1^2*t^5.168 + 2*g1*t^5.251 + 2*t^5.333 + g1*t^5.584 + t^5.667 + t^5.749/g1 + 2*g1^2*t^5.834 + g1*t^5.917 - 2*t^6. - t^6.083/g1 - t^6.166/g1^2 + 2*g1*t^6.251 + t^6.333 + g1^2*t^6.501 + 2*g1*t^6.584 + 2*t^6.667 + g1^3*t^6.752 + t^6.832/g1^2 + g1^2*t^6.834 + 2*g1*t^6.917 + 2*t^7. + (2*t^7.083)/g1 + g1^3*t^7.085 + t^7.166/g1^2 + 3*g1^2*t^7.168 + t^7.248/g1^3 + 4*g1*t^7.251 + 4*t^7.333 + (2*t^7.416)/g1 + 2*g1^3*t^7.418 + t^7.499/g1^2 + 2*g1^2*t^7.501 + t^7.582/g1^3 + 3*g1*t^7.584 + t^7.667 + t^7.749/g1 + 2*g1^3*t^7.752 + 3*g1^2*t^7.834 + 4*g1*t^7.917 + 3*t^8. + (2*t^8.083)/g1 + 2*g1^3*t^8.085 + t^8.166/g1^2 + 2*g1^2*t^8.168 - 2*g1*t^8.251 - 4*t^8.333 - (5*t^8.416)/g1 - t^8.499/g1^2 + 3*g1^2*t^8.501 - t^8.582/g1^3 + 2*g1*t^8.584 + 3*t^8.667 + 3*g1^3*t^8.752 + t^8.832/g1^2 + g1^2*t^8.834 - 4*g1*t^8.917 - t^4.333/y - (g1*t^6.584)/y - t^6.667/y - t^6.749/(g1*y) - (g1*t^7.251)/y + t^7.416/(g1*y) + (g1*t^7.584)/y + t^7.667/y + t^7.749/(g1*y) + (g1*t^7.917)/y + t^8./y + t^8.083/(g1*y) + (2*g1^2*t^8.168)/y + (3*g1*t^8.251)/y + (3*t^8.333)/y + t^8.416/(g1*y) + (g1*t^8.584)/y + t^8.667/y + t^8.749/(g1*y) + (2*g1*t^8.917)/y - t^4.333*y - g1*t^6.584*y - t^6.667*y - (t^6.749*y)/g1 - g1*t^7.251*y + (t^7.416*y)/g1 + g1*t^7.584*y + t^7.667*y + (t^7.749*y)/g1 + g1*t^7.917*y + t^8.*y + (t^8.083*y)/g1 + 2*g1^2*t^8.168*y + 3*g1*t^8.251*y + 3*t^8.333*y + (t^8.416*y)/g1 + g1*t^8.584*y + t^8.667*y + (t^8.749*y)/g1 + 2*g1*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 5806 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}X_{1}$ | 0.6713 | 0.8171 | 0.8215 | [X:[1.3333], M:[0.8889, 1.1111, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.1111], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]] | t^2.333 + t^2.667 + t^3. + 3*t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 3*t^4.667 + 2*t^5. + t^5.333 + 2*t^5.667 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 145/216, c: 353/432, X1: 4/3, M1: 8/9, M2: 10/9, M3: 8/9, M4: 10/9, M5: 2/3, M6: 1, M7: 7/9, M8: 10/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, phi1: 4/9} |
| 5802 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$ | 0.723 | 0.8966 | 0.8064 | [M:[0.7778, 1.1111, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.0, 1.0], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 3*t^4.333 + 6*t^4.667 + 6*t^5. + 6*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 937/1296, c: 581/648, M1: 7/9, M2: 10/9, M3: 1, M4: 1, M5: 7/9, M6: 1, M7: 7/9, M8: 1, M9: 1, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.723 | 0.8966 | 0.8064 | [M:[0.7778, 1.1111, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.0], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 3*t^4.333 + 6*t^4.667 + 6*t^5. + 6*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 937/1296, c: 581/648, M1: 7/9, M2: 10/9, M3: 1, M4: 1, M5: 7/9, M6: 1, M7: 7/9, M8: 1, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5805 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{1}X_{1}$ | 0.6404 | 0.8002 | 0.8004 | [X:[1.4444], M:[0.5556, 1.1111, 1.2222, 0.7778, 1.0, 1.0, 0.7778, 0.7778], q:[0.8333, 0.6111], qb:[0.3889, 0.3889], phi:[0.4444]] | 3*t^2.333 + 2*t^3. + t^3.333 + 3*t^3.667 + 3*t^4.333 + 4*t^4.667 + 3*t^5. + 3*t^5.333 + 4*t^5.667 + 4*t^6. - t^4.333/y - t^4.333*y | detail | {a: 415/648, c: 1037/1296, X1: 13/9, M1: 5/9, M2: 10/9, M3: 11/9, M4: 7/9, M5: 1, M6: 1, M7: 7/9, M8: 7/9, q1: 5/6, q2: 11/18, qb1: 7/18, qb2: 7/18, phi1: 4/9} |
| 5817 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{7}M_{9}$ | 0.7065 | 0.868 | 0.814 | [M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724, 1.2222], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.251 + t^2.416 + 2*t^2.917 + t^3. + t^3.333 + 2*t^3.667 + t^4.251 + t^4.333 + t^4.416 + t^4.501 + t^4.667 + t^4.832 + t^4.834 + t^4.917 + 2*t^5. + t^5.083 + t^5.166 + 2*t^5.168 + t^5.333 + t^5.584 + t^5.749 + 2*t^5.834 + 2*t^5.917 - 3*t^6. - t^4.333/y - t^4.333*y | detail | |
| 5803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.742 | 0.9313 | 0.7968 | [M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724, 0.7778], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.251 + 2*t^2.333 + t^2.416 + 2*t^2.917 + t^3. + t^3.333 + t^4.251 + t^4.333 + t^4.416 + t^4.501 + 2*t^4.584 + 4*t^4.667 + 2*t^4.749 + t^4.832 + t^4.834 + t^4.917 + 2*t^5. + t^5.083 + t^5.166 + 2*t^5.168 + 4*t^5.251 + 3*t^5.333 + t^5.584 + 2*t^5.667 + t^5.749 + 2*t^5.834 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7345 | 0.915 | 0.8027 | [M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.024 + t^2.498 + t^2.663 + 2*t^2.917 + t^3. + t^3.21 + t^3.419 + t^4.049 + t^4.312 + t^4.395 + t^4.478 + t^4.522 + t^4.649 + t^4.688 + t^4.732 + 2*t^4.815 + t^4.897 + 2*t^4.942 + t^4.98 + t^4.996 + t^5.024 + t^5.161 + t^5.234 + t^5.327 + 2*t^5.415 + t^5.444 + t^5.581 + t^5.708 + 2*t^5.834 + t^5.873 + t^5.917 - 3*t^6. - t^4.395/y - t^4.395*y | detail |