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 |
|---|---|---|---|---|---|---|---|---|---|
| 2104 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6877 | 0.8645 | 0.7955 | [M:[0.9733, 0.7807, 0.9252, 0.8289, 1.1711, 0.6844], q:[0.6363, 0.3904], qb:[0.4385, 0.7807], phi:[0.4385]] | [M:[[-18], [2], [-13], [-3], [3], [12]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.053 + t^2.342 + t^2.487 + t^2.631 + t^2.776 + t^2.92 + t^3.513 + t^3.658 + t^3.802 + t^4.107 + t^4.251 + 2*t^4.396 + 2*t^4.54 + 2*t^4.684 + 2*t^4.829 + 3*t^4.973 + 2*t^5.118 + t^5.133 + 2*t^5.262 + t^5.407 + 2*t^5.551 + t^5.567 + t^5.696 + t^5.711 + t^5.84 + t^5.856 - t^6. + t^6.144 + t^6.16 + 2*t^6.289 + t^6.304 + 2*t^6.433 + 2*t^6.449 + t^6.578 + 2*t^6.593 + 2*t^6.738 + 3*t^6.882 + 5*t^7.027 + 4*t^7.171 + t^7.187 + 4*t^7.316 + 4*t^7.46 + t^7.476 + 5*t^7.604 + t^7.62 + 3*t^7.749 + 2*t^7.764 + 4*t^7.893 + t^7.909 + 2*t^8.038 + 3*t^8.182 + t^8.213 + 2*t^8.327 - t^8.342 + t^8.358 + 2*t^8.471 + 2*t^8.502 + t^8.616 - t^8.631 + 3*t^8.647 + t^8.76 - t^8.776 + 3*t^8.791 - t^8.92 + 3*t^8.936 - t^4.316/y - t^6.369/y - t^6.658/y - t^6.947/y - t^7.091/y - t^7.236/y + (2*t^7.396)/y + (2*t^7.54)/y + (2*t^7.684)/y + (2*t^7.829)/y + (3*t^7.973)/y + (2*t^8.118)/y + (3*t^8.262)/y + (2*t^8.407)/y - t^8.422/y + t^8.551/y + t^8.567/y + t^8.696/y + (2*t^8.856)/y - t^4.316*y - t^6.369*y - t^6.658*y - t^6.947*y - t^7.091*y - t^7.236*y + 2*t^7.396*y + 2*t^7.54*y + 2*t^7.684*y + 2*t^7.829*y + 3*t^7.973*y + 2*t^8.118*y + 3*t^8.262*y + 2*t^8.407*y - t^8.422*y + t^8.551*y + t^8.567*y + t^8.696*y + 2*t^8.856*y | g1^12*t^2.053 + g1^2*t^2.342 + t^2.487/g1^3 + t^2.631/g1^8 + t^2.776/g1^13 + t^2.92/g1^18 + g1^3*t^3.513 + t^3.658/g1^2 + t^3.802/g1^7 + g1^24*t^4.107 + g1^19*t^4.251 + 2*g1^14*t^4.396 + 2*g1^9*t^4.54 + 2*g1^4*t^4.684 + (2*t^4.829)/g1 + (3*t^4.973)/g1^6 + (2*t^5.118)/g1^11 + g1^30*t^5.133 + (2*t^5.262)/g1^16 + t^5.407/g1^21 + (2*t^5.551)/g1^26 + g1^15*t^5.567 + t^5.696/g1^31 + g1^10*t^5.711 + t^5.84/g1^36 + g1^5*t^5.856 - t^6. + t^6.144/g1^5 + g1^36*t^6.16 + (2*t^6.289)/g1^10 + g1^31*t^6.304 + (2*t^6.433)/g1^15 + 2*g1^26*t^6.449 + t^6.578/g1^20 + 2*g1^21*t^6.593 + 2*g1^16*t^6.738 + 3*g1^11*t^6.882 + 5*g1^6*t^7.027 + 4*g1*t^7.171 + g1^42*t^7.187 + (4*t^7.316)/g1^4 + (4*t^7.46)/g1^9 + g1^32*t^7.476 + (5*t^7.604)/g1^14 + g1^27*t^7.62 + (3*t^7.749)/g1^19 + 2*g1^22*t^7.764 + (4*t^7.893)/g1^24 + g1^17*t^7.909 + (2*t^8.038)/g1^29 + (3*t^8.182)/g1^34 + g1^48*t^8.213 + (2*t^8.327)/g1^39 - g1^2*t^8.342 + g1^43*t^8.358 + (2*t^8.471)/g1^44 + 2*g1^38*t^8.502 + t^8.616/g1^49 - t^8.631/g1^8 + 3*g1^33*t^8.647 + t^8.76/g1^54 - t^8.776/g1^13 + 3*g1^28*t^8.791 - t^8.92/g1^18 + 3*g1^23*t^8.936 - t^4.316/(g1^4*y) - (g1^8*t^6.369)/y - t^6.658/(g1^2*y) - t^6.947/(g1^12*y) - t^7.091/(g1^17*y) - t^7.236/(g1^22*y) + (2*g1^14*t^7.396)/y + (2*g1^9*t^7.54)/y + (2*g1^4*t^7.684)/y + (2*t^7.829)/(g1*y) + (3*t^7.973)/(g1^6*y) + (2*t^8.118)/(g1^11*y) + (3*t^8.262)/(g1^16*y) + (2*t^8.407)/(g1^21*y) - (g1^20*t^8.422)/y + t^8.551/(g1^26*y) + (g1^15*t^8.567)/y + t^8.696/(g1^31*y) + (2*g1^5*t^8.856)/y - (t^4.316*y)/g1^4 - g1^8*t^6.369*y - (t^6.658*y)/g1^2 - (t^6.947*y)/g1^12 - (t^7.091*y)/g1^17 - (t^7.236*y)/g1^22 + 2*g1^14*t^7.396*y + 2*g1^9*t^7.54*y + 2*g1^4*t^7.684*y + (2*t^7.829*y)/g1 + (3*t^7.973*y)/g1^6 + (2*t^8.118*y)/g1^11 + (3*t^8.262*y)/g1^16 + (2*t^8.407*y)/g1^21 - g1^20*t^8.422*y + (t^8.551*y)/g1^26 + g1^15*t^8.567*y + (t^8.696*y)/g1^31 + 2*g1^5*t^8.856*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 |
|---|---|---|---|---|---|---|---|---|
| 3196 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.3537 | 0.4162 | 0.8498 | [X:[1.7143, 1.5714, 1.4286], M:[0.2857, 0.8571, 0.4286, 0.7143, 1.2857, 1.1429], q:[1.2857, 0.4286], qb:[0.2857, 0.8571], phi:[0.2857]] | t^2.143 + t^2.571 + t^3.429 + 2*t^4.286 + t^4.714 + t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 1941/5488, c: 571/1372, X1: 12/7, X2: 11/7, X3: 10/7, M1: 2/7, M2: 6/7, M3: 3/7, M4: 5/7, M5: 9/7, M6: 8/7, q1: 9/7, q2: 3/7, qb1: 2/7, qb2: 6/7, phi1: 2/7} |
| 3193 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6701 | 0.8332 | 0.8043 | [M:[0.9698, 0.7811, 0.9227, 0.8283, 1.1717, 0.6868, 1.2189], q:[0.6396, 0.3906], qb:[0.4377, 0.7811], phi:[0.4377]] | t^2.06 + t^2.485 + t^2.626 + t^2.768 + t^2.91 + t^3.515 + 2*t^3.657 + t^3.798 + t^4.121 + t^4.262 + t^4.404 + 2*t^4.545 + t^4.687 + t^4.828 + 2*t^4.97 + t^5.111 + t^5.151 + t^5.253 + t^5.394 + 2*t^5.536 + t^5.575 + t^5.677 + 2*t^5.717 + t^5.819 - 2*t^6. - t^4.313/y - t^4.313*y | detail | |
| 3194 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.7023 | 0.8898 | 0.7893 | [M:[0.9666, 0.7815, 0.9203, 0.8278, 1.1722, 0.689, 0.8278], q:[0.6427, 0.3907], qb:[0.437, 0.7815], phi:[0.437]] | t^2.067 + t^2.344 + 2*t^2.483 + t^2.622 + t^2.761 + t^2.9 + t^3.656 + t^3.794 + t^4.134 + t^4.273 + 2*t^4.411 + 3*t^4.55 + 2*t^4.689 + 3*t^4.828 + 5*t^4.967 + 3*t^5.105 + t^5.167 + 3*t^5.244 + 2*t^5.383 + 2*t^5.522 + t^5.661 + t^5.722 + t^5.799 - 2*t^6. - t^4.311/y - t^4.311*y | detail | |
| 3191 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4629 | 0.5566 | 0.8316 | [X:[1.5, 1.4167, 1.3333], M:[0.5, 0.8333, 0.5833, 0.75, 1.25, 1.0], q:[1.0833, 0.4167], qb:[0.3333, 0.8333], phi:[0.3333]] | t^2.25 + t^2.5 + t^3. + t^3.25 + t^3.5 + t^4.25 + 2*t^4.5 + t^5.25 + 3*t^5.5 + t^5.75 - t^6. - t^4./y - t^4.*y | detail | {a: 237/512, c: 285/512, X1: 3/2, X2: 17/12, X3: 4/3, M1: 1/2, M2: 5/6, M3: 7/12, M4: 3/4, M5: 5/4, M6: 1, q1: 13/12, q2: 5/12, qb1: 1/3, qb2: 5/6, phi1: 1/3} |
| 3195 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7053 | 0.8958 | 0.7873 | [M:[0.9768, 0.7804, 0.9277, 0.8295, 1.1705, 0.6821, 0.7804], q:[0.633, 0.3902], qb:[0.4393, 0.7804], phi:[0.4393]] | t^2.046 + 2*t^2.341 + t^2.488 + t^2.636 + t^2.783 + t^2.93 + t^3.512 + t^3.806 + t^4.093 + t^4.24 + 3*t^4.387 + 2*t^4.535 + 4*t^4.682 + 3*t^4.829 + 4*t^4.977 + t^5.116 + 3*t^5.124 + 3*t^5.271 + t^5.419 + t^5.558 + 2*t^5.566 + t^5.713 + 2*t^5.853 + t^5.861 - 2*t^6. - t^4.318/y - t^4.318*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 |
|---|---|---|---|---|---|---|---|---|---|
| 987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[0.9689, 0.7812, 0.922, 0.8281, 1.1719], q:[0.6405, 0.3906], qb:[0.4375, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail |