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 |
|---|---|---|---|---|---|---|---|---|---|
| 4781 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7053 | 0.8954 | 0.7877 | [M:[1.0409, 0.7732, 0.974, 0.8401, 1.1599, 0.7732, 0.9591, 0.7063], q:[0.5725, 0.3866], qb:[0.4535, 0.7732], phi:[0.4535]] | [M:[[-18], [2], [-13], [-3], [3], [2], [18], [7]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.119 + 2*t^2.32 + t^2.52 + t^2.721 + t^2.877 + t^2.922 + t^3.48 + t^4.037 + t^4.082 + 2*t^4.238 + 3*t^4.439 + 4*t^4.639 + t^4.796 + 3*t^4.84 + t^4.996 + 4*t^5.041 + 2*t^5.197 + 3*t^5.242 + t^5.398 + t^5.442 + 2*t^5.599 + t^5.755 + 2*t^5.799 + t^5.844 - 2*t^6. + t^6.156 + 4*t^6.357 + 2*t^6.401 + 4*t^6.558 + 6*t^6.758 + 2*t^6.915 + 9*t^6.959 + 4*t^7.115 + 6*t^7.16 + 3*t^7.316 + 5*t^7.361 + 5*t^7.517 + 6*t^7.561 + t^7.673 + 3*t^7.717 + 2*t^7.762 + t^7.874 + 3*t^7.918 + 2*t^7.963 + 2*t^8.074 + 3*t^8.164 + 3*t^8.275 - 5*t^8.32 + 5*t^8.476 - 2*t^8.52 + t^8.565 + t^8.632 + 6*t^8.677 - t^8.721 + t^8.766 + t^8.833 + 5*t^8.877 - 4*t^8.922 - t^4.361/y - t^6.48/y - (2*t^6.68)/y - t^7.082/y - t^7.283/y + (3*t^7.439)/y + (3*t^7.639)/y + (3*t^7.84)/y + t^7.996/y + (5*t^8.041)/y + (2*t^8.197)/y + (4*t^8.242)/y + t^8.398/y + t^8.442/y + t^8.599/y + t^8.643/y + t^8.799/y - t^4.361*y - t^6.48*y - 2*t^6.68*y - t^7.082*y - t^7.283*y + 3*t^7.439*y + 3*t^7.639*y + 3*t^7.84*y + t^7.996*y + 5*t^8.041*y + 2*t^8.197*y + 4*t^8.242*y + t^8.398*y + t^8.442*y + t^8.599*y + t^8.643*y + t^8.799*y | g1^7*t^2.119 + 2*g1^2*t^2.32 + t^2.52/g1^3 + t^2.721/g1^8 + g1^18*t^2.877 + t^2.922/g1^13 + g1^3*t^3.48 + g1^19*t^4.037 + t^4.082/g1^12 + 2*g1^14*t^4.238 + 3*g1^9*t^4.439 + 4*g1^4*t^4.639 + g1^30*t^4.796 + (3*t^4.84)/g1 + g1^25*t^4.996 + (4*t^5.041)/g1^6 + 2*g1^20*t^5.197 + (3*t^5.242)/g1^11 + g1^15*t^5.398 + t^5.442/g1^16 + 2*g1^10*t^5.599 + g1^36*t^5.755 + 2*g1^5*t^5.799 + t^5.844/g1^26 - 2*t^6. + g1^26*t^6.156 + 4*g1^21*t^6.357 + (2*t^6.401)/g1^10 + 4*g1^16*t^6.558 + 6*g1^11*t^6.758 + 2*g1^37*t^6.915 + 9*g1^6*t^6.959 + 4*g1^32*t^7.115 + 6*g1*t^7.16 + 3*g1^27*t^7.316 + (5*t^7.361)/g1^4 + 5*g1^22*t^7.517 + (6*t^7.561)/g1^9 + g1^48*t^7.673 + 3*g1^17*t^7.717 + (2*t^7.762)/g1^14 + g1^43*t^7.874 + 3*g1^12*t^7.918 + (2*t^7.963)/g1^19 + 2*g1^38*t^8.074 + (3*t^8.164)/g1^24 + 3*g1^33*t^8.275 - 5*g1^2*t^8.32 + 5*g1^28*t^8.476 - (2*t^8.52)/g1^3 + t^8.565/g1^34 + g1^54*t^8.632 + 6*g1^23*t^8.677 - t^8.721/g1^8 + t^8.766/g1^39 + g1^49*t^8.833 + 5*g1^18*t^8.877 - (4*t^8.922)/g1^13 - t^4.361/(g1^4*y) - (g1^3*t^6.48)/y - (2*t^6.68)/(g1^2*y) - t^7.082/(g1^12*y) - t^7.283/(g1^17*y) + (3*g1^9*t^7.439)/y + (3*g1^4*t^7.639)/y + (3*t^7.84)/(g1*y) + (g1^25*t^7.996)/y + (5*t^8.041)/(g1^6*y) + (2*g1^20*t^8.197)/y + (4*t^8.242)/(g1^11*y) + (g1^15*t^8.398)/y + t^8.442/(g1^16*y) + (g1^10*t^8.599)/y + t^8.643/(g1^21*y) + (g1^5*t^8.799)/y - (t^4.361*y)/g1^4 - g1^3*t^6.48*y - (2*t^6.68*y)/g1^2 - (t^7.082*y)/g1^12 - (t^7.283*y)/g1^17 + 3*g1^9*t^7.439*y + 3*g1^4*t^7.639*y + (3*t^7.84*y)/g1 + g1^25*t^7.996*y + (5*t^8.041*y)/g1^6 + 2*g1^20*t^8.197*y + (4*t^8.242*y)/g1^11 + g1^15*t^8.398*y + (t^8.442*y)/g1^16 + g1^10*t^8.599*y + (t^8.643*y)/g1^21 + g1^5*t^8.799*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 |
|---|---|---|---|---|---|---|---|---|
| 6407 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}^{2}$ | 0.704 | 0.8915 | 0.7897 | [M:[1.0, 0.7778, 0.9444, 0.8333, 1.1667, 0.7778, 1.0, 0.7222], q:[0.6111, 0.3889], qb:[0.4444, 0.7778], phi:[0.4444]] | t^2.167 + 2*t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^4. + t^4.167 + 2*t^4.333 + 3*t^4.5 + 4*t^4.667 + 3*t^4.833 + 5*t^5. + 4*t^5.167 + 3*t^5.333 + t^5.5 + 3*t^5.667 + 2*t^5.833 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 811/1152, c: 1027/1152, M1: 1, M2: 7/9, M3: 17/18, M4: 5/6, M5: 7/6, M6: 7/9, M7: 1, M8: 13/18, q1: 11/18, q2: 7/18, qb1: 4/9, qb2: 7/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2643 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6849 | 0.8564 | 0.7998 | [M:[1.0356, 0.7738, 0.9702, 0.8393, 1.1607, 0.7738, 0.9644], q:[0.5774, 0.3869], qb:[0.4524, 0.7738], phi:[0.4524]] | 2*t^2.321 + t^2.518 + t^2.714 + t^2.893 + t^2.911 + t^3.482 + t^3.875 + t^4.054 + t^4.071 + t^4.25 + t^4.447 + 3*t^4.643 + t^4.822 + 2*t^4.839 + 3*t^5.036 + 2*t^5.215 + 3*t^5.232 + t^5.411 + t^5.428 + t^5.607 + t^5.786 + 2*t^5.804 + t^5.821 - 2*t^6. - t^4.357/y - t^4.357*y | detail |