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 |
|---|---|---|---|---|---|---|---|---|---|
| 4712 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6954 | 0.8893 | 0.7819 | [M:[1.0795, 0.8084, 1.0561, 0.8318, 1.1682, 0.9439, 0.6729, 0.6963], q:[0.5163, 0.4042], qb:[0.4276, 0.764], phi:[0.472]] | [M:[[-30], [22], [4], [-12], [12], [-4], [48], [14]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.019 + t^2.089 + t^2.425 + t^2.495 + 2*t^2.832 + t^3.238 + t^3.505 + 2*t^3.841 + t^4.037 + t^4.107 + 2*t^4.178 + t^4.248 + t^4.444 + 3*t^4.514 + t^4.584 + 3*t^4.85 + 3*t^4.921 + t^4.991 + 3*t^5.257 + 3*t^5.327 + t^5.523 + t^5.593 + 3*t^5.664 + 2*t^5.86 + 2*t^5.93 - 2*t^6. + t^6.056 + t^6.07 + t^6.126 + 2*t^6.196 + 4*t^6.266 + 2*t^6.336 - t^6.407 + t^6.462 + t^6.477 + 3*t^6.533 + 4*t^6.603 + 5*t^6.673 + 3*t^6.869 + 5*t^6.939 + 5*t^7.009 + 2*t^7.079 - 2*t^7.15 + 4*t^7.276 + 8*t^7.346 + t^7.416 + t^7.542 + t^7.612 + 7*t^7.682 + 4*t^7.752 + 2*t^7.878 + 2*t^7.948 + 2*t^8.019 + t^8.074 + t^8.089 + t^8.145 + t^8.159 + 2*t^8.215 + 4*t^8.285 + 7*t^8.355 - 3*t^8.425 + t^8.481 + t^8.495 + 3*t^8.551 + 4*t^8.621 + 10*t^8.691 + 4*t^8.762 - 6*t^8.832 + 3*t^8.888 + t^8.902 + 5*t^8.958 - t^4.416/y - t^6.435/y - t^6.505/y - t^6.841/y + t^7.107/y + t^7.178/y - t^7.248/y + t^7.444/y + (2*t^7.514)/y + (2*t^7.584)/y - t^7.654/y + (2*t^7.85)/y + (3*t^7.921)/y + t^7.991/y + (3*t^8.257)/y + (4*t^8.327)/y + t^8.397/y - t^8.453/y + (2*t^8.664)/y + t^8.734/y + t^8.86/y + (2*t^8.93)/y - t^4.416*y - t^6.435*y - t^6.505*y - t^6.841*y + t^7.107*y + t^7.178*y - t^7.248*y + t^7.444*y + 2*t^7.514*y + 2*t^7.584*y - t^7.654*y + 2*t^7.85*y + 3*t^7.921*y + t^7.991*y + 3*t^8.257*y + 4*t^8.327*y + t^8.397*y - t^8.453*y + 2*t^8.664*y + t^8.734*y + t^8.86*y + 2*t^8.93*y | g1^48*t^2.019 + g1^14*t^2.089 + g1^22*t^2.425 + t^2.495/g1^12 + (2*t^2.832)/g1^4 + t^3.238/g1^30 + g1^12*t^3.505 + 2*g1^20*t^3.841 + g1^96*t^4.037 + g1^62*t^4.107 + 2*g1^28*t^4.178 + t^4.248/g1^6 + g1^70*t^4.444 + 3*g1^36*t^4.514 + g1^2*t^4.584 + 3*g1^44*t^4.85 + 3*g1^10*t^4.921 + t^4.991/g1^24 + 3*g1^18*t^5.257 + (3*t^5.327)/g1^16 + g1^60*t^5.523 + g1^26*t^5.593 + (3*t^5.664)/g1^8 + 2*g1^68*t^5.86 + 2*g1^34*t^5.93 - 2*t^6. + g1^144*t^6.056 + t^6.07/g1^34 + g1^110*t^6.126 + 2*g1^76*t^6.196 + 4*g1^42*t^6.266 + 2*g1^8*t^6.336 - t^6.407/g1^26 + g1^118*t^6.462 + t^6.477/g1^60 + 3*g1^84*t^6.533 + 4*g1^50*t^6.603 + 5*g1^16*t^6.673 + 3*g1^92*t^6.869 + 5*g1^58*t^6.939 + 5*g1^24*t^7.009 + (2*t^7.079)/g1^10 - (2*t^7.15)/g1^44 + 4*g1^66*t^7.276 + 8*g1^32*t^7.346 + t^7.416/g1^2 + g1^108*t^7.542 + g1^74*t^7.612 + 7*g1^40*t^7.682 + 4*g1^6*t^7.752 + 2*g1^116*t^7.878 + 2*g1^82*t^7.948 + 2*g1^48*t^8.019 + g1^192*t^8.074 + g1^14*t^8.089 + g1^158*t^8.145 + t^8.159/g1^20 + 2*g1^124*t^8.215 + 4*g1^90*t^8.285 + 7*g1^56*t^8.355 - 3*g1^22*t^8.425 + g1^166*t^8.481 + t^8.495/g1^12 + 3*g1^132*t^8.551 + 4*g1^98*t^8.621 + 10*g1^64*t^8.691 + 4*g1^30*t^8.762 - (6*t^8.832)/g1^4 + 3*g1^140*t^8.888 + t^8.902/g1^38 + 5*g1^106*t^8.958 - t^4.416/(g1^2*y) - (g1^46*t^6.435)/y - (g1^12*t^6.505)/y - (g1^20*t^6.841)/y + (g1^62*t^7.107)/y + (g1^28*t^7.178)/y - t^7.248/(g1^6*y) + (g1^70*t^7.444)/y + (2*g1^36*t^7.514)/y + (2*g1^2*t^7.584)/y - t^7.654/(g1^32*y) + (2*g1^44*t^7.85)/y + (3*g1^10*t^7.921)/y + t^7.991/(g1^24*y) + (3*g1^18*t^8.257)/y + (4*t^8.327)/(g1^16*y) + t^8.397/(g1^50*y) - (g1^94*t^8.453)/y + (2*t^8.664)/(g1^8*y) + t^8.734/(g1^42*y) + (g1^68*t^8.86)/y + (2*g1^34*t^8.93)/y - (t^4.416*y)/g1^2 - g1^46*t^6.435*y - g1^12*t^6.505*y - g1^20*t^6.841*y + g1^62*t^7.107*y + g1^28*t^7.178*y - (t^7.248*y)/g1^6 + g1^70*t^7.444*y + 2*g1^36*t^7.514*y + 2*g1^2*t^7.584*y - (t^7.654*y)/g1^32 + 2*g1^44*t^7.85*y + 3*g1^10*t^7.921*y + (t^7.991*y)/g1^24 + 3*g1^18*t^8.257*y + (4*t^8.327*y)/g1^16 + (t^8.397*y)/g1^50 - g1^94*t^8.453*y + (2*t^8.664*y)/g1^8 + (t^8.734*y)/g1^42 + g1^68*t^8.86*y + 2*g1^34*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 6316 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6156 | 0.7799 | 0.7894 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286, 0.8], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.4 + t^2.571 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.629 + 2*t^4.8 + 3*t^4.971 + 4*t^5.143 + 4*t^5.314 + 4*t^5.486 + 3*t^5.657 + 2*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 52791/85750, c: 133757/171500, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, M8: 4/5, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 6315 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}M_{8}$ | 0.5522 | 0.7054 | 0.7828 | [M:[0.7742, 1.0323, 1.0968, 0.7097, 1.2903, 0.9032, 1.1613, 0.8387], q:[0.7097, 0.5161], qb:[0.1935, 0.7742], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + 2*t^2.71 + t^3.097 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 3*t^5.419 + 2*t^5.613 + t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 65805/119164, c: 21016/29791, M1: 24/31, M2: 32/31, M3: 34/31, M4: 22/31, M5: 40/31, M6: 28/31, M7: 36/31, M8: 26/31, q1: 22/31, q2: 16/31, qb1: 6/31, qb2: 24/31, phi1: 14/31} |
| 6313 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}^{2}$ | 0.6272 | 0.7939 | 0.7901 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.9167, 1.0, 0.7917], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | t^2.25 + t^2.375 + t^2.625 + 2*t^2.75 + t^2.875 + t^3. + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.625 + 2*t^4.75 + 3*t^5. + 3*t^5.125 + 4*t^5.25 + 2*t^5.375 + 3*t^5.5 + 3*t^5.625 + 3*t^5.75 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 15415/24576, c: 19511/24576, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, M8: 19/24, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
| 6325 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7155 | 0.9265 | 0.7722 | [M:[1.0747, 0.8119, 1.0567, 0.8299, 1.1701, 0.9433, 0.6805, 0.6985, 0.7165], q:[0.5194, 0.4059], qb:[0.4239, 0.7642], phi:[0.4716]] | t^2.041 + t^2.095 + t^2.149 + t^2.436 + t^2.49 + 2*t^2.83 + t^3.224 + t^3.51 + t^3.851 + t^4.083 + t^4.137 + 3*t^4.191 + 2*t^4.245 + t^4.299 + t^4.477 + 3*t^4.531 + 2*t^4.585 + t^4.639 + 3*t^4.871 + 3*t^4.925 + 3*t^4.979 + 3*t^5.266 + 3*t^5.32 + t^5.373 + t^5.552 + t^5.606 + 4*t^5.66 + t^5.892 + t^5.946 - t^6. - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2619 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6748 | 0.8495 | 0.7943 | [M:[1.0773, 0.8099, 1.0564, 0.8309, 1.1691, 0.9436, 0.6762], q:[0.5177, 0.405], qb:[0.426, 0.7641], phi:[0.4718]] | t^2.029 + t^2.43 + t^2.493 + 2*t^2.831 + t^3.232 + t^3.507 + 2*t^3.845 + t^3.908 + t^4.057 + t^4.183 + t^4.246 + t^4.459 + 2*t^4.522 + 3*t^4.86 + t^4.923 + t^4.986 + 3*t^5.261 + 2*t^5.324 + t^5.536 + 3*t^5.662 + 2*t^5.874 + t^5.937 - 2*t^6. - t^4.415/y - t^4.415*y | detail |