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 |
|---|---|---|---|---|---|---|---|---|---|
| 2555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.7151 | 0.8924 | 0.8013 | [M:[1.0817, 0.7548, 0.887, 0.9495, 1.0505, 0.7861, 0.9495], q:[0.5409, 0.3774], qb:[0.5721, 0.6731], phi:[0.4591]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-11]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$ | ${}$ | -2 | t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. + t^6.094 + t^6.397 + 2*t^6.49 + 2*t^6.793 + 3*t^6.887 + 4*t^6.981 + 4*t^7.074 + t^7.168 + 2*t^7.19 + 4*t^7.284 + 5*t^7.377 + 5*t^7.471 + 4*t^7.565 + t^7.587 + 2*t^7.659 + 2*t^7.68 + 4*t^7.774 + 3*t^7.868 + 3*t^7.962 + t^7.983 + 2*t^8.055 + t^8.077 + 3*t^8.171 - t^8.264 + 2*t^8.452 + 2*t^8.546 + t^8.567 - 2*t^8.661 - t^8.755 - 4*t^8.849 + t^8.942 - t^4.377/y - t^6.642/y - t^6.736/y - t^7.038/y - t^7.226/y + t^7.529/y + t^7.623/y + t^7.716/y + t^7.926/y + (3*t^8.019)/y + (4*t^8.113)/y + (2*t^8.207)/y + t^8.416/y + (3*t^8.51)/y + (3*t^8.603)/y + t^8.697/y + t^8.906/y - t^4.377*y - t^6.642*y - t^6.736*y - t^7.038*y - t^7.226*y + t^7.529*y + t^7.623*y + t^7.716*y + t^7.926*y + 3*t^8.019*y + 4*t^8.113*y + 2*t^8.207*y + t^8.416*y + 3*t^8.51*y + 3*t^8.603*y + t^8.697*y + t^8.906*y | g1^6*t^2.264 + t^2.358/g1^7 + g1^15*t^2.661 + g1^2*t^2.755 + (2*t^2.849)/g1^11 + t^3.245/g1^2 + g1^7*t^3.642 + g1^3*t^4.132 + t^4.226/g1^10 + 2*g1^12*t^4.529 + (2*t^4.623)/g1 + (2*t^4.716)/g1^14 + t^4.81/g1^27 + g1^21*t^4.926 + 3*g1^8*t^5.019 + (3*t^5.113)/g1^5 + (2*t^5.207)/g1^18 + g1^30*t^5.322 + g1^17*t^5.416 + 3*g1^4*t^5.51 + (2*t^5.603)/g1^9 + (2*t^5.697)/g1^22 + g1^13*t^5.906 - 2*t^6. + t^6.094/g1^13 + g1^9*t^6.397 + (2*t^6.49)/g1^4 + 2*g1^18*t^6.793 + 3*g1^5*t^6.887 + (4*t^6.981)/g1^8 + (4*t^7.074)/g1^21 + t^7.168/g1^34 + 2*g1^27*t^7.19 + 4*g1^14*t^7.284 + 5*g1*t^7.377 + (5*t^7.471)/g1^12 + (4*t^7.565)/g1^25 + g1^36*t^7.587 + (2*t^7.659)/g1^38 + 2*g1^23*t^7.68 + 4*g1^10*t^7.774 + (3*t^7.868)/g1^3 + (3*t^7.962)/g1^16 + g1^45*t^7.983 + (2*t^8.055)/g1^29 + g1^32*t^8.077 + 3*g1^19*t^8.171 - g1^6*t^8.264 + (2*t^8.452)/g1^20 + (2*t^8.546)/g1^33 + g1^28*t^8.567 - 2*g1^15*t^8.661 - g1^2*t^8.755 - (4*t^8.849)/g1^11 + t^8.942/g1^24 - (g1*t^4.377)/y - (g1^7*t^6.642)/y - t^6.736/(g1^6*y) - (g1^16*t^7.038)/y - t^7.226/(g1^10*y) + (g1^12*t^7.529)/y + t^7.623/(g1*y) + t^7.716/(g1^14*y) + (g1^21*t^7.926)/y + (3*g1^8*t^8.019)/y + (4*t^8.113)/(g1^5*y) + (2*t^8.207)/(g1^18*y) + (g1^17*t^8.416)/y + (3*g1^4*t^8.51)/y + (3*t^8.603)/(g1^9*y) + t^8.697/(g1^22*y) + (g1^13*t^8.906)/y - g1*t^4.377*y - g1^7*t^6.642*y - (t^6.736*y)/g1^6 - g1^16*t^7.038*y - (t^7.226*y)/g1^10 + g1^12*t^7.529*y + (t^7.623*y)/g1 + (t^7.716*y)/g1^14 + g1^21*t^7.926*y + 3*g1^8*t^8.019*y + (4*t^8.113*y)/g1^5 + (2*t^8.207*y)/g1^18 + g1^17*t^8.416*y + 3*g1^4*t^8.51*y + (3*t^8.603*y)/g1^9 + (t^8.697*y)/g1^22 + g1^13*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 4629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ | 0.7137 | 0.8916 | 0.8005 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 0.9231], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 9*t^5.077 + 9*t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 25089/35152, c: 15671/17576, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 12/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
| 4620 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7226 | 0.905 | 0.7985 | [M:[1.0825, 0.7525, 0.8813, 0.9537, 1.0463, 0.7887, 0.9537, 0.9175], q:[0.5412, 0.3763], qb:[0.5775, 0.67], phi:[0.4588]] | t^2.258 + t^2.366 + t^2.644 + 2*t^2.753 + 2*t^2.861 + t^3.634 + t^4.129 + t^4.237 + 2*t^4.515 + 2*t^4.624 + 2*t^4.732 + t^4.841 + t^4.901 + 4*t^5.01 + 4*t^5.119 + 2*t^5.227 + t^5.288 + 2*t^5.396 + 4*t^5.505 + 3*t^5.614 + 2*t^5.722 - 3*t^6. - t^4.376/y - t^4.376*y | detail | |
| 4619 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ | 0.6235 | 0.7843 | 0.7951 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | 2*t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + 3*t^5.143 + 3*t^5.429 + 4*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 1711/2744, c: 269/343, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 4625 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}^{2}$ | 0.7017 | 0.8808 | 0.7966 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 0.8667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.2 + t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + 2*t^4.6 + 4*t^4.8 + 3*t^5. + 5*t^5.2 + 3*t^5.4 + 3*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 421/600, c: 1057/1200, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 13/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
| 4627 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ | 0.7103 | 0.8864 | 0.8013 | [M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.0], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]] | t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 3*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 7563/10648, c: 18877/21296, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 1, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11} |
| 4630 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6979 | 0.862 | 0.8097 | [M:[1.0835, 0.7496, 0.874, 0.9591, 1.0409, 0.7922, 0.9591, 1.2078], q:[0.5417, 0.3748], qb:[0.5843, 0.6661], phi:[0.4583]] | t^2.249 + t^2.622 + t^2.75 + 2*t^2.877 + t^3.25 + 2*t^3.624 + t^4.124 + t^4.252 + 2*t^4.497 + t^4.625 + t^4.753 + t^4.871 + t^4.881 + 2*t^4.998 + 2*t^5.126 + t^5.244 + t^5.371 + 3*t^5.499 + t^5.627 + 2*t^5.755 + 2*t^5.872 - 3*t^6. - t^4.375/y - t^4.375*y | detail | |
| 4631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7076 | 0.8799 | 0.8042 | [M:[1.081, 0.7571, 0.8927, 0.9453, 1.0547, 0.7834, 0.9453, 1.081], q:[0.5405, 0.3785], qb:[0.5668, 0.6761], phi:[0.4595]] | t^2.271 + t^2.35 + t^2.678 + 2*t^2.836 + 2*t^3.243 + t^3.65 + t^4.136 + t^4.215 + 2*t^4.543 + 2*t^4.621 + 2*t^4.7 + t^4.779 + t^4.95 + 2*t^5.028 + 2*t^5.107 + 2*t^5.186 + t^5.356 + 3*t^5.514 + t^5.593 + 2*t^5.672 + 2*t^5.921 - 3*t^6. - t^4.379/y - t^4.379*y | detail | |
| 4622 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7325 | 0.9237 | 0.793 | [M:[1.0801, 0.7596, 0.899, 0.9407, 1.0593, 0.7804, 0.9407, 0.7804], q:[0.5401, 0.3798], qb:[0.5609, 0.6795], phi:[0.4599]] | t^2.279 + 2*t^2.341 + t^2.697 + t^2.76 + 2*t^2.822 + t^3.24 + t^4.139 + t^4.202 + 2*t^4.558 + 3*t^4.62 + 4*t^4.683 + t^4.745 + t^4.976 + 4*t^5.038 + 4*t^5.101 + 4*t^5.163 + t^5.394 + t^5.457 + 3*t^5.519 + 3*t^5.582 + 2*t^5.644 - 3*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7115 | 0.8866 | 0.8025 | [M:[1.0862, 0.7414, 0.8534, 0.9742, 1.0258, 0.8017], q:[0.5431, 0.3707], qb:[0.6035, 0.6552], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |