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 |
|---|---|---|---|---|---|---|---|---|---|
| 959 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.7153 | 0.8822 | 0.8108 | [M:[0.822, 1.0593, 0.8597, 1.0216, 0.9784, 0.9407], q:[0.6484, 0.5297], qb:[0.4919, 0.4488], phi:[0.4703]] | [M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [2, 2]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -3 | t^2.466 + t^2.579 + 2*t^2.822 + t^2.935 + t^3.065 + t^3.291 + t^4.103 + t^4.233 + t^4.346 + t^4.362 + t^4.476 + t^4.589 + t^4.702 + t^4.832 + t^4.932 + t^4.945 + t^5.045 + t^5.158 + 2*t^5.288 + t^5.301 + 2*t^5.401 + t^5.514 + 3*t^5.644 + 2*t^5.757 + t^5.871 + t^5.887 - 3*t^6. + t^6.113 + t^6.227 - t^6.243 - t^6.356 - t^6.469 + t^6.569 + t^6.583 - t^6.599 + t^6.683 + t^6.699 + t^6.812 + t^6.828 + 3*t^6.925 + t^6.942 + t^7.039 + 3*t^7.055 + 4*t^7.168 + 2*t^7.184 + 3*t^7.298 + t^7.395 + t^7.398 + t^7.411 + t^7.427 + t^7.511 + 2*t^7.524 - t^7.54 + t^7.624 + t^7.638 + t^7.654 + t^7.738 + 2*t^7.754 + t^7.767 + 2*t^7.867 + 2*t^7.98 + t^7.994 - 2*t^8.01 + t^8.094 + 3*t^8.11 + t^8.123 + t^8.207 + 3*t^8.223 + t^8.236 + 2*t^8.336 - t^8.353 + 2*t^8.45 + t^8.466 - t^8.479 + t^8.592 + t^8.693 + t^8.709 + t^8.725 + 2*t^8.806 - 8*t^8.822 + t^8.838 - 2*t^8.935 - t^4.411/y - t^6.877/y - t^6.99/y - t^7.233/y + t^7.589/y + t^7.832/y + t^7.945/y + t^8.045/y + (2*t^8.288)/y + (3*t^8.401)/y + t^8.514/y + t^8.531/y + (2*t^8.644)/y + (3*t^8.757)/y + t^8.871/y + (2*t^8.887)/y - t^4.411*y - t^6.877*y - t^6.99*y - t^7.233*y + t^7.589*y + t^7.832*y + t^7.945*y + t^8.045*y + 2*t^8.288*y + 3*t^8.401*y + t^8.514*y + t^8.531*y + 2*t^8.644*y + 3*t^8.757*y + t^8.871*y + 2*t^8.887*y | g1^6*g2^6*t^2.466 + g1^3*g2^5*t^2.579 + 2*g1^2*g2^2*t^2.822 + (g2*t^2.935)/g1 + (g1*t^3.065)/g2 + t^3.291/(g1^5*g2^3) + g1*g2^5*t^4.103 + g1^3*g2^3*t^4.233 + g2^2*t^4.346 + g1^5*g2*t^4.362 + g1^2*t^4.476 + t^4.589/(g1*g2) + t^4.702/(g1^4*g2^2) + t^4.832/(g1^2*g2^4) + g1^12*g2^12*t^4.932 + t^4.945/(g1^5*g2^5) + g1^9*g2^11*t^5.045 + g1^6*g2^10*t^5.158 + 2*g1^8*g2^8*t^5.288 + t^5.301/(g1^9*g2^9) + 2*g1^5*g2^7*t^5.401 + g1^2*g2^6*t^5.514 + 3*g1^4*g2^4*t^5.644 + 2*g1*g2^3*t^5.757 + (g2^2*t^5.871)/g1^2 + g1^3*g2*t^5.887 - 3*t^6. + t^6.113/(g1^3*g2) + t^6.227/(g1^6*g2^2) - t^6.243/(g1*g2^3) - t^6.356/(g1^4*g2^4) - t^6.469/(g1^7*g2^5) + g1^7*g2^11*t^6.569 + t^6.583/(g1^10*g2^6) - t^6.599/(g1^5*g2^7) + g1^4*g2^10*t^6.683 + g1^9*g2^9*t^6.699 + g1^6*g2^8*t^6.812 + g1^11*g2^7*t^6.828 + 3*g1^3*g2^7*t^6.925 + g1^8*g2^6*t^6.942 + g2^6*t^7.039 + 3*g1^5*g2^5*t^7.055 + 4*g1^2*g2^4*t^7.168 + 2*g1^7*g2^3*t^7.184 + 3*g1^4*g2^2*t^7.298 + (g2^2*t^7.395)/g1^4 + g1^18*g2^18*t^7.398 + g1*g2*t^7.411 + g1^6*t^7.427 + g1^15*g2^17*t^7.511 + (2*t^7.524)/g1^2 - (g1^3*t^7.54)/g2 + g1^12*g2^16*t^7.624 + t^7.638/(g1^5*g2) + t^7.654/g2^2 + g1^9*g2^15*t^7.738 + 2*g1^14*g2^14*t^7.754 + t^7.767/(g1^3*g2^3) + 2*g1^11*g2^13*t^7.867 + 2*g1^8*g2^12*t^7.98 + t^7.994/(g1^9*g2^5) - (2*t^8.01)/(g1^4*g2^6) + g1^5*g2^11*t^8.094 + 3*g1^10*g2^10*t^8.11 + t^8.123/(g1^7*g2^7) + g1^2*g2^10*t^8.207 + 3*g1^7*g2^9*t^8.223 + t^8.236/(g1^10*g2^8) + 2*g1^4*g2^8*t^8.336 - g1^9*g2^7*t^8.353 + 2*g1*g2^7*t^8.45 + g1^6*g2^6*t^8.466 - t^8.479/(g1^11*g2^11) + t^8.592/(g1^14*g2^12) + g2^4*t^8.693 + g1^5*g2^3*t^8.709 + g1^10*g2^2*t^8.725 + (2*g2^3*t^8.806)/g1^3 - 8*g1^2*g2^2*t^8.822 + g1^7*g2*t^8.838 - (2*g2*t^8.935)/g1 - (g1*g2*t^4.411)/y - (g1^7*g2^7*t^6.877)/y - (g1^4*g2^6*t^6.99)/y - (g1^3*g2^3*t^7.233)/y + t^7.589/(g1*g2*y) + t^7.832/(g1^2*g2^4*y) + t^7.945/(g1^5*g2^5*y) + (g1^9*g2^11*t^8.045)/y + (2*g1^8*g2^8*t^8.288)/y + (3*g1^5*g2^7*t^8.401)/y + (g1^2*g2^6*t^8.514)/y + (g1^7*g2^5*t^8.531)/y + (2*g1^4*g2^4*t^8.644)/y + (3*g1*g2^3*t^8.757)/y + (g2^2*t^8.871)/(g1^2*y) + (2*g1^3*g2*t^8.887)/y - g1*g2*t^4.411*y - g1^7*g2^7*t^6.877*y - g1^4*g2^6*t^6.99*y - g1^3*g2^3*t^7.233*y + (t^7.589*y)/(g1*g2) + (t^7.832*y)/(g1^2*g2^4) + (t^7.945*y)/(g1^5*g2^5) + g1^9*g2^11*t^8.045*y + 2*g1^8*g2^8*t^8.288*y + 3*g1^5*g2^7*t^8.401*y + g1^2*g2^6*t^8.514*y + g1^7*g2^5*t^8.531*y + 2*g1^4*g2^4*t^8.644*y + 3*g1*g2^3*t^8.757*y + (g2^2*t^8.871*y)/g1^2 + 2*g1^3*g2*t^8.887*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 |
|---|---|---|---|---|---|---|---|---|
| 1490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7048 | 0.8625 | 0.8171 | [M:[0.86, 1.0467, 0.9067, 1.0, 1.0, 0.9533, 1.0933], q:[0.6167, 0.5233], qb:[0.4767, 0.4767], phi:[0.4767]] | t^2.58 + 2*t^2.86 + 2*t^3. + 2*t^3.28 + 3*t^4.29 + 2*t^4.43 + t^4.57 + 2*t^4.71 + t^4.85 + t^5.13 + t^5.16 + 2*t^5.44 + 2*t^5.72 + 4*t^5.86 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 1488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ | 0.6977 | 0.8546 | 0.8164 | [M:[0.9346, 1.0218, 1.0, 0.9564, 1.0436, 0.9782], q:[0.5545, 0.5109], qb:[0.4455, 0.5327], phi:[0.4891]] | t^2.804 + t^2.869 + 2*t^2.935 + t^3. + t^3.131 + t^3.262 + t^4.14 + t^4.336 + t^4.402 + t^4.467 + t^4.533 + t^4.598 + 2*t^4.664 + t^4.729 + t^4.795 + t^5.607 + 2*t^5.738 + 2*t^5.804 + 3*t^5.869 + t^5.935 - 2*t^6. - t^4.467/y - t^4.467*y | detail | |
| 1491 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.7145 | 0.8801 | 0.8118 | [M:[0.8193, 1.0602, 0.8828, 0.9968, 1.0032, 0.9398, 0.9968], q:[0.6506, 0.5301], qb:[0.4666, 0.4731], phi:[0.4699]] | t^2.458 + t^2.648 + 2*t^2.819 + 2*t^2.99 + t^3.371 + t^4.21 + t^4.229 + t^4.248 + t^4.4 + t^4.419 + t^4.59 + t^4.761 + t^4.781 + t^4.916 + t^4.952 + t^5.106 + 2*t^5.277 + t^5.297 + t^5.313 + t^5.448 + t^5.468 + 4*t^5.639 + 3*t^5.81 + 2*t^5.981 - 4*t^6. - t^4.41/y - t^4.41*y | detail | |
| 1489 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7262 | 0.9027 | 0.8045 | [M:[0.7842, 1.0719, 0.8561, 1.0, 1.0, 0.9281, 0.8561], q:[0.6798, 0.536], qb:[0.464, 0.464], phi:[0.464]] | t^2.353 + 2*t^2.568 + 2*t^2.784 + 2*t^3. + 3*t^4.176 + 2*t^4.392 + t^4.608 + t^4.705 + 2*t^4.824 + 2*t^4.921 + t^5.039 + 5*t^5.137 + 4*t^5.353 + t^5.471 + 6*t^5.568 + 2*t^5.784 - 3*t^6. - t^4.392/y - t^4.392*y | detail | |
| 2098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ | 0.57 | 0.695 | 0.8201 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 57/100, c: 139/200, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, M6: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 2097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6051 | 0.7764 | 0.7793 | [M:[1.0082, 0.9973, 0.7575, 1.2479, 0.7521, 1.0027], q:[0.4932, 0.4986], qb:[0.7493, 0.2534], phi:[0.5014]] | t^2.24 + t^2.256 + t^2.273 + 2*t^3.008 + 2*t^3.025 + 2*t^3.744 + t^3.76 + t^4.463 + 2*t^4.479 + 2*t^4.496 + 2*t^4.512 + t^4.529 + t^4.545 + 2*t^5.248 + 3*t^5.264 + 3*t^5.281 + 2*t^5.297 - t^6. - t^4.504/y - t^4.504*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 |
|---|---|---|---|---|---|---|---|---|---|
| 600 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |