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 |
|---|---|---|---|---|---|---|---|---|---|
| 5871 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6653 | 0.8262 | 0.8052 | [X:[1.4243], M:[0.6971, 1.1514, 1.0, 1.1214, 0.5757, 0.8786, 0.8786, 1.1214, 0.6971], q:[0.53, 0.7728], qb:[0.3486, 0.6514], phi:[0.4243]] | [X:[[1]], M:[[4], [-2], [0], [5], [-1], [-5], [-5], [5], [4]], q:[[-7], [3]], qb:[[2], [-2]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{9}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{9}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{9}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}M_{7}M_{8}$ | -2 | 2*t^2.091 + t^2.636 + t^3. + 2*t^3.364 + t^3.454 + t^3.544 + 3*t^4.183 + 2*t^4.273 + t^4.453 + t^4.637 + t^4.727 + t^4.817 + t^5.091 + 2*t^5.181 + 3*t^5.456 + 3*t^5.546 + t^5.636 + t^5.91 - 2*t^6. + t^6.09 + t^6.18 + 4*t^6.274 + 3*t^6.364 + t^6.454 + t^6.544 + 3*t^6.728 + 2*t^6.819 + 2*t^6.909 + t^6.999 + 2*t^7.089 + t^7.183 + 2*t^7.273 - t^7.363 + t^7.453 + 4*t^7.547 + 7*t^7.637 + t^7.727 + 3*t^7.817 + t^7.997 + 3*t^8.001 - 6*t^8.091 + 2*t^8.181 + t^8.362 + 5*t^8.366 + 2*t^8.456 + 5*t^8.546 - 3*t^8.636 + 2*t^8.726 + 4*t^8.82 + t^8.906 + 5*t^8.91 - t^4.273/y - (2*t^6.364)/y + t^7.183/y + (2*t^7.727)/y + (2*t^8.091)/y + (2*t^8.181)/y + t^8.456/y + (2*t^8.546)/y + (3*t^8.636)/y - t^4.273*y - 2*t^6.364*y + t^7.183*y + 2*t^7.727*y + 2*t^8.091*y + 2*t^8.181*y + t^8.456*y + 2*t^8.546*y + 3*t^8.636*y | 2*g1^4*t^2.091 + t^2.636/g1^5 + t^3. + 2*g1^5*t^3.364 + t^3.454/g1^2 + t^3.544/g1^9 + 3*g1^8*t^4.183 + 2*g1*t^4.273 + t^4.453/g1^13 + g1^6*t^4.637 + t^4.727/g1 + t^4.817/g1^8 + g1^4*t^5.091 + (2*t^5.181)/g1^3 + 3*g1^9*t^5.456 + 3*g1^2*t^5.546 + t^5.636/g1^5 + g1^7*t^5.91 - 2*t^6. + t^6.09/g1^7 + t^6.18/g1^14 + 4*g1^12*t^6.274 + 3*g1^5*t^6.364 + t^6.454/g1^2 + t^6.544/g1^9 + 3*g1^10*t^6.728 + 2*g1^3*t^6.819 + (2*t^6.909)/g1^4 + t^6.999/g1^11 + (2*t^7.089)/g1^18 + g1^8*t^7.183 + 2*g1*t^7.273 - t^7.363/g1^6 + t^7.453/g1^13 + 4*g1^13*t^7.547 + 7*g1^6*t^7.637 + t^7.727/g1 + (3*t^7.817)/g1^8 + t^7.997/g1^22 + 3*g1^11*t^8.001 - 6*g1^4*t^8.091 + (2*t^8.181)/g1^3 + t^8.362/g1^17 + 5*g1^16*t^8.366 + 2*g1^9*t^8.456 + 5*g1^2*t^8.546 - (3*t^8.636)/g1^5 + (2*t^8.726)/g1^12 + 4*g1^14*t^8.82 + t^8.906/g1^26 + 5*g1^7*t^8.91 - (g1*t^4.273)/y - (2*g1^5*t^6.364)/y + (g1^8*t^7.183)/y + (2*t^7.727)/(g1*y) + (2*g1^4*t^8.091)/y + (2*t^8.181)/(g1^3*y) + (g1^9*t^8.456)/y + (2*g1^2*t^8.546)/y + (3*t^8.636)/(g1^5*y) - g1*t^4.273*y - 2*g1^5*t^6.364*y + g1^8*t^7.183*y + (2*t^7.727*y)/g1 + 2*g1^4*t^8.091*y + (2*t^8.181*y)/g1^3 + g1^9*t^8.456*y + 2*g1^2*t^8.546*y + (3*t^8.636*y)/g1^5 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ | 0.6447 | 0.7869 | 0.8193 | [X:[1.4249], M:[0.6995, 1.1502, 1.0, 1.1244, 0.5751, 0.8756, 0.8756, 1.1244], q:[0.5258, 0.7747], qb:[0.3498, 0.6502], phi:[0.4249]] | t^2.099 + t^2.627 + t^3. + 2*t^3.373 + t^3.451 + t^3.528 + t^3.901 + t^4.197 + 2*t^4.275 + t^4.429 + t^4.648 + t^4.803 + 2*t^5.176 + t^5.472 + 2*t^5.549 + t^5.923 - t^6. - t^4.275/y - t^4.275*y | detail |