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 |
|---|---|---|---|---|---|---|---|---|---|
| 47937 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.0755 | 1.2031 | 0.8939 | [X:[1.493], q:[0.3263, 1.0728], qb:[0.6737, 0.4062], phi:[0.2535]] | [X:[[0, 2]], q:[[-1, 5], [-1, 6]], qb:[[1, -5], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$ | -1 | t^2.198 + t^2.281 + t^2.958 + t^3. + t^3.719 + t^4.395 + t^4.437 + 2*t^4.479 + t^4.563 + t^5.156 + t^5.198 + 2*t^5.219 + 2*t^5.24 + 2*t^5.916 + 2*t^5.937 + t^5.958 - t^6. + t^6.593 + t^6.635 + 3*t^6.677 + t^6.719 + t^6.76 - t^6.802 + t^6.844 + t^7.353 + 2*t^7.395 + 2*t^7.416 + 4*t^7.437 + t^7.479 + t^7.521 + 2*t^8.114 + 2*t^8.135 + 2*t^8.156 + 2*t^8.177 + t^8.198 + 2*t^8.219 - t^8.24 - 2*t^8.26 + t^8.79 + t^8.832 + 5*t^8.874 + 2*t^8.895 + 3*t^8.916 + 2*t^8.937 - 2*t^8.958 - 2*t^8.979 + t^8.281/y^2 - t^8.958/y^2 - t^3.76/y - t^4.521/y - t^5.958/y - t^6.042/y - t^6.719/y - t^6.76/y - t^6.802/y + t^8.281/y - t^8.323/y - t^3.76*y - t^4.521*y - t^5.958*y - t^6.042*y - t^6.719*y - t^6.76*y - t^6.802*y + t^8.281*y - t^8.323*y + t^8.281*y^2 - t^8.958*y^2 | g2^5*t^2.198 + t^2.281/g2^3 + g2^4*t^2.958 + t^3. + g2^3*t^3.719 + g2^10*t^4.395 + g2^6*t^4.437 + 2*g2^2*t^4.479 + t^4.563/g2^6 + g2^9*t^5.156 + g2^5*t^5.198 + (g1^3*t^5.219)/g2^6 + (g2^12*t^5.219)/g1^3 + 2*g2*t^5.24 + 2*g2^8*t^5.916 + (g1^3*t^5.937)/g2^3 + (g2^15*t^5.937)/g1^3 + g2^4*t^5.958 - t^6. + g2^15*t^6.593 + g2^11*t^6.635 + 3*g2^7*t^6.677 + g2^3*t^6.719 + t^6.76/g2 - t^6.802/g2^5 + t^6.844/g2^9 + g2^14*t^7.353 + 2*g2^10*t^7.395 + (g1^3*t^7.416)/g2 + (g2^17*t^7.416)/g1^3 + 4*g2^6*t^7.437 + g2^2*t^7.479 + t^7.521/g2^2 + 2*g2^13*t^8.114 + g1^3*g2^2*t^8.135 + (g2^20*t^8.135)/g1^3 + 2*g2^9*t^8.156 + (g1^3*t^8.177)/g2^2 + (g2^16*t^8.177)/g1^3 + g2^5*t^8.198 + (g1^3*t^8.219)/g2^6 + (g2^12*t^8.219)/g1^3 - g2*t^8.24 - (g1^3*t^8.26)/g2^10 - (g2^8*t^8.26)/g1^3 + g2^20*t^8.79 + g2^16*t^8.832 + 5*g2^12*t^8.874 + g1^3*g2*t^8.895 + (g2^19*t^8.895)/g1^3 + 3*g2^8*t^8.916 + (g1^3*t^8.937)/g2^3 + (g2^15*t^8.937)/g1^3 - 2*g2^4*t^8.958 - (g1^3*t^8.979)/g2^7 - (g2^11*t^8.979)/g1^3 + t^8.281/(g2^3*y^2) - (g2^4*t^8.958)/y^2 - t^3.76/(g2*y) - t^4.521/(g2^2*y) - (g2^4*t^5.958)/y - t^6.042/(g2^4*y) - (g2^3*t^6.719)/y - t^6.76/(g2*y) - t^6.802/(g2^5*y) + t^8.281/(g2^3*y) - t^8.323/(g2^7*y) - (t^3.76*y)/g2 - (t^4.521*y)/g2^2 - g2^4*t^5.958*y - (t^6.042*y)/g2^4 - g2^3*t^6.719*y - (t^6.76*y)/g2 - (t^6.802*y)/g2^5 + (t^8.281*y)/g2^3 - (t^8.323*y)/g2^7 + (t^8.281*y^2)/g2^3 - g2^4*t^8.958*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57664 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.0943 | 1.2354 | 0.8857 | [X:[1.498], M:[0.7529], q:[0.3314, 1.0804], qb:[0.6686, 0.4137], phi:[0.251]] | t^2.24 + 2*t^2.26 + t^2.99 + t^3. + t^4.47 + t^4.48 + 3*t^4.49 + 3*t^4.52 + t^5.22 + 3*t^5.24 + 3*t^5.25 + t^5.26 + 3*t^5.98 + t^5.99 - 2*t^6. - t^3.75/y - t^4.51/y - t^5.99/y - t^3.75*y - t^4.51*y - t^5.99*y | detail | |
| 57661 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0313 | 1.1146 | 0.9252 | [X:[1.5556, 1.3333], M:[], q:[0.3889, 1.1667], qb:[0.6111, 0.5], phi:[0.2222]] | t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.67 + 2*t^5.33 + 2*t^5.5 + t^5.67 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 33/32, c: 107/96, X1: 14/9, X2: 4/3, q1: 7/18, q2: 7/6, qb1: 11/18, qb2: 1/2, phi1: 2/9} |
| 57662 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0514 | 1.1695 | 0.8991 | [X:[1.5185], M:[], q:[0.2778, 1.037], qb:[0.7222, 0.5185], phi:[0.2407]] | t^2.17 + t^2.39 + t^3. + t^3.11 + t^3.83 + t^4.33 + 2*t^4.56 + 2*t^4.67 + t^4.78 + 2*t^5.28 + t^5.39 + 2*t^5.5 - t^3.72/y - t^4.44/y - t^5.89/y - t^3.72*y - t^4.44*y - t^5.89*y | detail | {a: 10901/10368, c: 12125/10368, X1: 41/27, q1: 5/18, q2: 28/27, qb1: 13/18, qb2: 14/27, phi1: 13/54} |
| 57663 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.0754 | 1.202 | 0.8947 | [X:[1.4957], M:[], q:[0.3246, 1.0725], qb:[0.6754, 0.4145], phi:[0.2522]] | t^2.22 + t^2.27 + t^2.97 + t^3. + t^3.73 + t^4.43 + t^4.46 + 2*t^4.49 + t^4.54 + 2*t^5.19 + t^5.22 + 2*t^5.24 + t^5.27 + t^5.92 + 2*t^5.95 + t^5.97 - t^3.76/y - t^4.51/y - t^5.97/y - t^3.76*y - t^4.51*y - t^5.97*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47873 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6841 | 0.8753 | [q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y | detail |