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 |
|---|---|---|---|---|---|---|---|---|---|
| 55911 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.733 | 0.9136 | 0.8024 | [M:[0.7778, 0.7778, 1.0, 1.0, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.6111, 0.3889], phi:[0.4444]] | [M:[[1], [-1], [-1], [1], [0], [0]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 475/648, c: 74/81, M1: 7/9, M2: 7/9, M3: 1, M4: 1, M5: 1, M6: 7/9, q1: 11/18, q2: 11/18, qb1: 11/18, qb2: 7/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -1 | 3*t^2.333 + t^2.667 + 3*t^3. + t^3.667 + 3*t^4.333 + 6*t^4.667 + 9*t^5. + 7*t^5.333 + 3*t^5.667 - t^6. + t^6.333 + 5*t^6.667 + 12*t^7. + 22*t^7.333 + 15*t^7.667 + 16*t^8. - 12*t^8.333 + 2*t^8.667 - t^4.333/y - (3*t^6.667)/y - t^7./y + (4*t^7.667)/y + (6*t^8.)/y + (9*t^8.333)/y + (3*t^8.667)/y - t^4.333*y - 3*t^6.667*y - t^7.*y + 4*t^7.667*y + 6*t^8.*y + 9*t^8.333*y + 3*t^8.667*y | t^2.333 + t^2.333/g1 + g1*t^2.333 + t^2.667 + t^3. + t^3./g1 + g1*t^3. + t^3.667 + t^4.333 + t^4.333/g1 + g1*t^4.333 + 2*t^4.667 + t^4.667/g1^2 + t^4.667/g1 + g1*t^4.667 + g1^2*t^4.667 + 3*t^5. + t^5./g1^2 + (2*t^5.)/g1 + 2*g1*t^5. + g1^2*t^5. + 3*t^5.333 + t^5.333/g1^2 + t^5.333/g1 + g1*t^5.333 + g1^2*t^5.333 + t^5.667 + t^5.667/g1 + g1*t^5.667 - t^6. + t^6.333 + t^6.667 + t^6.667/g1^2 + t^6.667/g1 + g1*t^6.667 + g1^2*t^6.667 + 2*t^7. + t^7./g1^3 + t^7./g1^2 + (3*t^7.)/g1 + 3*g1*t^7. + g1^2*t^7. + g1^3*t^7. + 6*t^7.333 + t^7.333/g1^3 + (3*t^7.333)/g1^2 + (4*t^7.333)/g1 + 4*g1*t^7.333 + 3*g1^2*t^7.333 + g1^3*t^7.333 + 3*t^7.667 + t^7.667/g1^3 + (2*t^7.667)/g1^2 + (3*t^7.667)/g1 + 3*g1*t^7.667 + 2*g1^2*t^7.667 + g1^3*t^7.667 + 4*t^8. + t^8./g1^3 + (2*t^8.)/g1^2 + (3*t^8.)/g1 + 3*g1*t^8. + 2*g1^2*t^8. + g1^3*t^8. - 4*t^8.333 - t^8.333/g1^2 - (3*t^8.333)/g1 - 3*g1*t^8.333 - g1^2*t^8.333 + t^8.667/g1^2 + g1^2*t^8.667 - t^4.333/y - t^6.667/y - t^6.667/(g1*y) - (g1*t^6.667)/y - t^7./y + (2*t^7.667)/y + t^7.667/(g1*y) + (g1*t^7.667)/y + (2*t^8.)/y + (2*t^8.)/(g1*y) + (2*g1*t^8.)/y + (3*t^8.333)/y + t^8.333/(g1^2*y) + (2*t^8.333)/(g1*y) + (2*g1*t^8.333)/y + (g1^2*t^8.333)/y + t^8.667/y + t^8.667/(g1*y) + (g1*t^8.667)/y - t^4.333*y - t^6.667*y - (t^6.667*y)/g1 - g1*t^6.667*y - t^7.*y + 2*t^7.667*y + (t^7.667*y)/g1 + g1*t^7.667*y + 2*t^8.*y + (2*t^8.*y)/g1 + 2*g1*t^8.*y + 3*t^8.333*y + (t^8.333*y)/g1^2 + (2*t^8.333*y)/g1 + 2*g1*t^8.333*y + g1^2*t^8.333*y + t^8.667*y + (t^8.667*y)/g1 + 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 |
|---|---|---|---|---|---|---|---|---|
| 57541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.7157 | 0.8835 | 0.8101 | [M:[0.7951, 0.7605, 0.9827, 1.0173, 1.0, 0.7778, 1.2049], q:[0.6111, 0.5938], qb:[0.6284, 0.3889], phi:[0.4444]] | t^2.282 + t^2.333 + t^2.667 + t^2.948 + t^3. + t^3.052 + t^3.615 + t^3.667 + t^4.282 + t^4.333 + t^4.385 + t^4.563 + t^4.615 + t^4.667 + t^4.896 + 2*t^4.948 + 3*t^5. + t^5.052 + t^5.104 + t^5.23 + t^5.282 + 2*t^5.333 + t^5.615 + t^5.667 + t^5.718 + t^5.896 + t^5.948 - t^6. - t^4.333/y - t^4.333*y | detail | |
| 57538 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.6327 | 0.7855 | 0.8055 | [X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222, 1.0, 0.7778], q:[0.6111, 0.3889], qb:[0.8333, 0.3889], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 2*t^3. + 4*t^3.667 + 3*t^4.333 + t^4.667 + 5*t^5. + 2*t^5.333 + 3*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 205/324, c: 509/648, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, M5: 1, M6: 7/9, q1: 11/18, q2: 7/18, qb1: 5/6, qb2: 7/18, phi1: 4/9} |
| 57540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}X_{1}$ | 0.6914 | 0.8511 | 0.8123 | [X:[1.3333], M:[0.6667, 0.8889, 1.1111, 0.8889, 1.0, 0.7778], q:[0.6111, 0.7222], qb:[0.5, 0.3889], phi:[0.4444]] | t^2.333 + 3*t^2.667 + t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 3*t^4.667 + 4*t^5. + 6*t^5.333 + 2*t^5.667 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 56/81, c: 1103/1296, X1: 4/3, M1: 2/3, M2: 8/9, M3: 10/9, M4: 8/9, M5: 1, M6: 7/9, q1: 11/18, q2: 13/18, qb1: 1/2, qb2: 7/18, phi1: 4/9} |
| 57543 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ | 0.7153 | 0.8819 | 0.811 | [M:[0.7778, 0.7778, 1.0, 1.0, 1.0, 0.7778, 1.2222], q:[0.6111, 0.6111], qb:[0.6111, 0.3889], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 3*t^3. + 2*t^3.667 + 3*t^4.333 + 3*t^4.667 + 8*t^5. + 4*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 103/144, c: 127/144, M1: 7/9, M2: 7/9, M3: 1, M4: 1, M5: 1, M6: 7/9, M7: 11/9, q1: 11/18, q2: 11/18, qb1: 11/18, qb2: 7/18, phi1: 4/9} |
| 57544 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7508 | 0.9452 | 0.7943 | [M:[0.7778, 0.7778, 1.0, 1.0, 1.0, 0.7778, 0.7778], q:[0.6111, 0.6111], qb:[0.6111, 0.3889], phi:[0.4444]] | 4*t^2.333 + t^2.667 + 3*t^3. + 3*t^4.333 + 10*t^4.667 + 10*t^5. + 10*t^5.333 + 3*t^5.667 - 4*t^6. - t^4.333/y - t^4.333*y | detail | {a: 973/1296, c: 1225/1296, M1: 7/9, M2: 7/9, M3: 1, M4: 1, M5: 1, M6: 7/9, M7: 7/9, q1: 11/18, q2: 11/18, qb1: 11/18, qb2: 7/18, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48166 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.74 | 0.9227 | 0.802 | [M:[0.8456, 0.8456, 1.0, 1.0, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.5772, 0.4228], phi:[0.4614]] | t^2.079 + 2*t^2.537 + t^2.768 + 3*t^3. + t^3.463 + t^4.158 + 3*t^4.384 + 2*t^4.616 + 7*t^4.847 + 3*t^5.073 + 3*t^5.079 + 2*t^5.305 + 4*t^5.537 + t^5.542 + 3*t^5.768 - 2*t^6. - t^4.384/y - t^4.384*y | detail |