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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.177 + 2*t^2.451 + t^2.726 + t^2.991 + t^3. + t^3.54 + t^3.805 + t^3.814 + t^4.097 + t^4.354 + t^4.363 + t^4.372 + 2*t^4.628 + 4*t^4.903 + t^4.92 + t^5.168 + 3*t^5.177 + t^5.443 + 2*t^5.451 + 2*t^5.717 + t^5.726 + 2*t^5.982 + 3*t^5.991 - 2*t^6. - t^6.009 + 2*t^6.257 + 2*t^6.266 + 3*t^6.531 + 2*t^6.54 + t^6.549 - t^6.557 + t^6.797 + 3*t^6.805 + t^6.814 + t^6.823 + 4*t^7.08 + t^7.097 + 2*t^7.345 + 7*t^7.354 - t^7.363 + t^7.372 + t^7.611 + 2*t^7.62 + 5*t^7.628 + 3*t^7.894 + 5*t^7.903 - t^7.92 + 2*t^8.159 + 5*t^8.168 - 2*t^8.186 + 3*t^8.434 + 5*t^8.443 - 4*t^8.451 - t^8.46 + 7*t^8.708 + 5*t^8.717 - 2*t^8.726 - 2*t^8.734 + 2*t^8.974 + 6*t^8.982 + t^8.991 - t^4.363/y - t^6.54/y - t^6.814/y - t^7.089/y - t^7.354/y + t^7.372/y + (2*t^7.628)/y + t^7.637/y + (2*t^7.903)/y + t^7.911/y + t^8.168/y + (3*t^8.177)/y + t^8.186/y + (2*t^8.443)/y + (2*t^8.451)/y + t^8.717/y + t^8.726/y + t^8.982/y + (3*t^8.991)/y - t^4.363*y - t^6.54*y - t^6.814*y - t^7.089*y - t^7.354*y + t^7.372*y + 2*t^7.628*y + t^7.637*y + 2*t^7.903*y + t^7.911*y + t^8.168*y + 3*t^8.177*y + t^8.186*y + 2*t^8.443*y + 2*t^8.451*y + t^8.717*y + t^8.726*y + t^8.982*y + 3*t^8.991*y | t^2.177/g1^12 + (2*t^2.451)/g1^8 + t^2.726/g1^4 + t^2.991/g1^22 + t^3. + t^3.54/g1^14 + t^3.805/g1^32 + t^3.814/g1^10 + g1^16*t^4.097 + t^4.354/g1^24 + t^4.363/g1^2 + g1^20*t^4.372 + (2*t^4.628)/g1^20 + (4*t^4.903)/g1^16 + g1^28*t^4.92 + t^5.168/g1^34 + (3*t^5.177)/g1^12 + t^5.443/g1^30 + (2*t^5.451)/g1^8 + (2*t^5.717)/g1^26 + t^5.726/g1^4 + (2*t^5.982)/g1^44 + (3*t^5.991)/g1^22 - 2*t^6. - g1^22*t^6.009 + (2*t^6.257)/g1^40 + (2*t^6.266)/g1^18 + (3*t^6.531)/g1^36 + (2*t^6.54)/g1^14 + g1^8*t^6.549 - g1^30*t^6.557 + t^6.797/g1^54 + (3*t^6.805)/g1^32 + t^6.814/g1^10 + g1^12*t^6.823 + (4*t^7.08)/g1^28 + g1^16*t^7.097 + (2*t^7.345)/g1^46 + (7*t^7.354)/g1^24 - t^7.363/g1^2 + g1^20*t^7.372 + t^7.611/g1^64 + (2*t^7.62)/g1^42 + (5*t^7.628)/g1^20 + (3*t^7.894)/g1^38 + (5*t^7.903)/g1^16 - g1^28*t^7.92 + (2*t^8.159)/g1^56 + (5*t^8.168)/g1^34 - 2*g1^10*t^8.186 + (3*t^8.434)/g1^52 + (5*t^8.443)/g1^30 - (4*t^8.451)/g1^8 - g1^14*t^8.46 + (7*t^8.708)/g1^48 + (5*t^8.717)/g1^26 - (2*t^8.726)/g1^4 - 2*g1^18*t^8.734 + (2*t^8.974)/g1^66 + (6*t^8.982)/g1^44 + t^8.991/g1^22 - t^4.363/(g1^2*y) - t^6.54/(g1^14*y) - t^6.814/(g1^10*y) - t^7.089/(g1^6*y) - t^7.354/(g1^24*y) + (g1^20*t^7.372)/y + (2*t^7.628)/(g1^20*y) + (g1^2*t^7.637)/y + (2*t^7.903)/(g1^16*y) + (g1^6*t^7.911)/y + t^8.168/(g1^34*y) + (3*t^8.177)/(g1^12*y) + (g1^10*t^8.186)/y + (2*t^8.443)/(g1^30*y) + (2*t^8.451)/(g1^8*y) + t^8.717/(g1^26*y) + t^8.726/(g1^4*y) + t^8.982/(g1^44*y) + (3*t^8.991)/(g1^22*y) - (t^4.363*y)/g1^2 - (t^6.54*y)/g1^14 - (t^6.814*y)/g1^10 - (t^7.089*y)/g1^6 - (t^7.354*y)/g1^24 + g1^20*t^7.372*y + (2*t^7.628*y)/g1^20 + g1^2*t^7.637*y + (2*t^7.903*y)/g1^16 + g1^6*t^7.911*y + (t^8.168*y)/g1^34 + (3*t^8.177*y)/g1^12 + g1^10*t^8.186*y + (2*t^8.443*y)/g1^30 + (2*t^8.451*y)/g1^8 + (t^8.717*y)/g1^26 + (t^8.726*y)/g1^4 + (t^8.982*y)/g1^44 + (3*t^8.991*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5312 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{7}$ | 0.6603 | 0.8187 | 0.8066 | [X:[1.2667], M:[1.0, 0.8667, 1.1333, 0.7333, 0.8667, 0.8, 1.1333], q:[0.5, 0.5], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.4 + 2*t^3.8 + 2*t^4. + 3*t^4.4 + t^4.8 + 2*t^5. + 4*t^5.2 + 3*t^5.4 + t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1981/3000, c: 307/375, X1: 19/15, M1: 1, M2: 13/15, M3: 17/15, M4: 11/15, M5: 13/15, M6: 4/5, M7: 17/15, q1: 1/2, q2: 1/2, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 5309 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ | 0.6479 | 0.8023 | 0.8075 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.529 + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 2*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 50931/78608, c: 63069/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 5239 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.124 + t^2.203 + 2*t^2.469 + t^2.734 + t^3. + t^3.04 + t^3.571 + t^3.836 + t^4.062 + t^4.248 + 2*t^4.328 + t^4.367 + t^4.407 + 2*t^4.593 + 2*t^4.672 + 2*t^4.859 + 4*t^4.938 + t^5.124 + t^5.164 + 3*t^5.203 + t^5.243 + 2*t^5.469 + t^5.509 + t^5.695 + t^5.734 + 2*t^5.774 - 2*t^6. - t^4.367/y - t^4.367*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7007 | 0.8906 | 0.7868 | [M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | t^2.006 + t^2.254 + 2*t^2.503 + t^2.751 + t^2.867 + t^3. + t^3.63 + t^3.879 + 2*t^4.012 + t^4.243 + t^4.26 + t^4.376 + 3*t^4.509 + t^4.74 + 3*t^4.757 + t^4.873 + 5*t^5.006 + t^5.121 + 3*t^5.254 + 2*t^5.37 + 2*t^5.503 + t^5.618 + t^5.734 + t^5.751 + 2*t^5.884 - 2*t^6. - t^4.376/y - t^4.376*y | detail |