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 |
|---|---|---|---|---|---|---|---|---|---|
| 2609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6633 | 0.8362 | 0.7932 | [M:[1.0521, 0.8756, 1.1244, 0.8032, 1.1968, 0.7873, 0.8032], q:[0.5102, 0.4378], qb:[0.3654, 0.759], phi:[0.4819]] | [M:[[-38], [14], [-14], [-10], [10], [40], [-10]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.362 + 2*t^2.41 + t^2.627 + t^2.891 + t^3.156 + t^3.373 + t^3.808 + t^3.855 + 2*t^4.072 + t^4.29 + t^4.507 + t^4.724 + 2*t^4.771 + 3*t^4.819 + t^4.989 + 2*t^5.036 + 2*t^5.253 + 2*t^5.301 + 2*t^5.518 + t^5.566 + t^5.735 + 2*t^5.783 - 2*t^6. + t^6.048 + t^6.17 + 2*t^6.265 + t^6.312 + 2*t^6.434 + 3*t^6.482 + t^6.529 + t^6.651 + 3*t^6.699 + t^6.869 + 2*t^6.916 + t^6.964 + t^7.086 + 3*t^7.133 + 2*t^7.181 + 4*t^7.229 + t^7.351 + 2*t^7.398 + 2*t^7.446 + 2*t^7.615 + 3*t^7.663 + 3*t^7.71 + 3*t^7.88 + 3*t^7.928 + t^7.975 + t^8.097 + 4*t^8.145 + 2*t^8.192 + t^8.314 - t^8.362 - 3*t^8.41 + t^8.457 + t^8.532 + 2*t^8.579 - 3*t^8.627 + 4*t^8.674 + t^8.722 + 3*t^8.796 + 2*t^8.891 + 2*t^8.939 - t^4.446/y - t^6.808/y - t^6.855/y + t^7.29/y - t^7.337/y + t^7.554/y - t^7.602/y + (2*t^7.771)/y + t^7.819/y + t^7.989/y + (3*t^8.036)/y + t^8.084/y + t^8.253/y + (2*t^8.301)/y + (2*t^8.518)/y + (2*t^8.566)/y + t^8.735/y + (3*t^8.783)/y - t^4.446*y - t^6.808*y - t^6.855*y + t^7.29*y - t^7.337*y + t^7.554*y - t^7.602*y + 2*t^7.771*y + t^7.819*y + t^7.989*y + 3*t^8.036*y + t^8.084*y + t^8.253*y + 2*t^8.301*y + 2*t^8.518*y + 2*t^8.566*y + t^8.735*y + 3*t^8.783*y | g1^40*t^2.362 + (2*t^2.41)/g1^10 + g1^14*t^2.627 + t^2.891/g1^12 + t^3.156/g1^38 + t^3.373/g1^14 + g1^34*t^3.808 + t^3.855/g1^16 + 2*g1^8*t^4.072 + g1^32*t^4.29 + g1^56*t^4.507 + g1^80*t^4.724 + 2*g1^30*t^4.771 + (3*t^4.819)/g1^20 + g1^54*t^4.989 + 2*g1^4*t^5.036 + 2*g1^28*t^5.253 + (2*t^5.301)/g1^22 + 2*g1^2*t^5.518 + t^5.566/g1^48 + g1^26*t^5.735 + (2*t^5.783)/g1^24 - 2*t^6. + t^6.048/g1^50 + g1^74*t^6.17 + (2*t^6.265)/g1^26 + t^6.312/g1^76 + 2*g1^48*t^6.434 + (3*t^6.482)/g1^2 + t^6.529/g1^52 + g1^72*t^6.651 + 3*g1^22*t^6.699 + g1^96*t^6.869 + 2*g1^46*t^6.916 + t^6.964/g1^4 + g1^120*t^7.086 + 3*g1^70*t^7.133 + 2*g1^20*t^7.181 + (4*t^7.229)/g1^30 + g1^94*t^7.351 + 2*g1^44*t^7.398 + (2*t^7.446)/g1^6 + 2*g1^68*t^7.615 + 3*g1^18*t^7.663 + (3*t^7.71)/g1^32 + 3*g1^42*t^7.88 + (3*t^7.928)/g1^8 + t^7.975/g1^58 + g1^66*t^8.097 + 4*g1^16*t^8.145 + (2*t^8.192)/g1^34 + g1^90*t^8.314 - g1^40*t^8.362 - (3*t^8.41)/g1^10 + t^8.457/g1^60 + g1^114*t^8.532 + 2*g1^64*t^8.579 - 3*g1^14*t^8.627 + (4*t^8.674)/g1^36 + t^8.722/g1^86 + 3*g1^88*t^8.796 + (2*t^8.891)/g1^12 + (2*t^8.939)/g1^62 - t^4.446/(g1^6*y) - (g1^34*t^6.808)/y - t^6.855/(g1^16*y) + (g1^32*t^7.29)/y - t^7.337/(g1^18*y) + (g1^6*t^7.554)/y - t^7.602/(g1^44*y) + (2*g1^30*t^7.771)/y + t^7.819/(g1^20*y) + (g1^54*t^7.989)/y + (3*g1^4*t^8.036)/y + t^8.084/(g1^46*y) + (g1^28*t^8.253)/y + (2*t^8.301)/(g1^22*y) + (2*g1^2*t^8.518)/y + (2*t^8.566)/(g1^48*y) + (g1^26*t^8.735)/y + (3*t^8.783)/(g1^24*y) - (t^4.446*y)/g1^6 - g1^34*t^6.808*y - (t^6.855*y)/g1^16 + g1^32*t^7.29*y - (t^7.337*y)/g1^18 + g1^6*t^7.554*y - (t^7.602*y)/g1^44 + 2*g1^30*t^7.771*y + (t^7.819*y)/g1^20 + g1^54*t^7.989*y + 3*g1^4*t^8.036*y + (t^8.084*y)/g1^46 + g1^28*t^8.253*y + (2*t^8.301*y)/g1^22 + 2*g1^2*t^8.518*y + (2*t^8.566*y)/g1^48 + g1^26*t^8.735*y + (3*t^8.783*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4699 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ | 0.6111 | 0.7754 | 0.7881 | [M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 1.037, 0.7407], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | 2*t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 3*t^5.111 + 4*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 21383/34992, c: 13567/17496, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 28/27, M7: 20/27, q1: 19/27, q2: 13/27, qb1: 7/27, qb2: 7/9, phi1: 4/9} |
| 4698 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}^{2}$ | 0.625 | 0.7906 | 0.7905 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.75], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | 2*t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.8 + 2*t^4.95 + 3*t^5.1 + 3*t^5.25 + 3*t^5.4 + 2*t^5.55 + 3*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 159999/256000, c: 202399/256000, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 3/4, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
| 4701 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6835 | 0.8746 | 0.7815 | [M:[1.0571, 0.8737, 1.1263, 0.8045, 1.1955, 0.782, 0.8045, 0.7128], q:[0.506, 0.4368], qb:[0.3677, 0.7586], phi:[0.4827]] | t^2.138 + t^2.346 + 2*t^2.414 + t^2.621 + t^2.896 + t^3.171 + t^3.379 + t^3.794 + 2*t^4.069 + 2*t^4.277 + 2*t^4.484 + 2*t^4.552 + t^4.692 + 3*t^4.759 + 3*t^4.827 + t^4.967 + 3*t^5.035 + 2*t^5.242 + 3*t^5.31 + 3*t^5.517 + t^5.585 + t^5.725 + 2*t^5.792 + t^5.932 - 2*t^6. - t^4.448/y - t^4.448*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1517 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6471 | 0.8081 | 0.8007 | [M:[1.0602, 0.8726, 1.1274, 0.8053, 1.1947, 0.7788], q:[0.5035, 0.4363], qb:[0.369, 0.7584], phi:[0.4832]] | t^2.336 + t^2.416 + t^2.618 + t^2.899 + t^3.18 + t^3.382 + t^3.584 + t^3.786 + t^3.865 + 2*t^4.067 + t^4.269 + t^4.471 + t^4.673 + t^4.752 + t^4.832 + t^4.954 + t^5.034 + 2*t^5.235 + t^5.315 + 2*t^5.517 + t^5.719 + t^5.798 + t^5.92 - t^6. - t^4.45/y - t^4.45*y | detail |