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 |
|---|---|---|---|---|---|---|---|---|---|
| 50961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6754 | 0.8294 | 0.8142 | [X:[1.3333], M:[0.6667, 1.1111, 0.757, 0.7985, 1.1111, 0.9792], q:[0.7778, 0.5556], qb:[0.4652, 0.4237], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-1], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.271 + t^2.396 + 2*t^2.938 + 2*t^3.333 + t^3.875 + 2*t^4. + t^4.125 + t^4.271 + t^4.396 + t^4.542 + 2*t^4.667 + t^4.791 + 2*t^5.209 + 2*t^5.333 + t^5.604 + t^5.729 + 2*t^5.875 - 3*t^6. - t^6.125 + t^6.147 + 5*t^6.271 + t^6.396 + t^6.52 + t^6.542 + 2*t^6.667 + t^6.791 + 3*t^6.813 + 3*t^6.938 + t^7.062 + t^7.187 + 2*t^7.209 + 2*t^7.333 + 2*t^7.48 + 3*t^7.604 + t^7.729 + t^7.751 + 2*t^7.875 + 2*t^8. + 2*t^8.125 + 3*t^8.147 + t^8.249 - t^8.271 - 4*t^8.396 + t^8.418 + 4*t^8.542 + 4*t^8.667 + 2*t^8.791 + 3*t^8.813 + t^8.916 - 4*t^8.938 - t^4.333/y - t^6.604/y - t^6.729/y + t^7./y - t^7.271/y + t^7.396/y + t^7.938/y + t^8.062/y + (2*t^8.209)/y + (2*t^8.333)/y + (2*t^8.604)/y + (2*t^8.729)/y - t^4.333*y - t^6.604*y - t^6.729*y + t^7.*y - t^7.271*y + t^7.396*y + t^7.938*y + t^8.062*y + 2*t^8.209*y + 2*t^8.333*y + 2*t^8.604*y + 2*t^8.729*y | g1*t^2.271 + t^2.396/g1 + 2*g1*t^2.938 + 2*t^3.333 + g1^2*t^3.875 + 2*t^4. + t^4.125/g1^2 + g1*t^4.271 + t^4.396/g1 + g1^2*t^4.542 + 2*t^4.667 + t^4.791/g1^2 + 2*g1^2*t^5.209 + 2*t^5.333 + g1*t^5.604 + t^5.729/g1 + 2*g1^2*t^5.875 - 3*t^6. - t^6.125/g1^2 + g1^3*t^6.147 + 5*g1*t^6.271 + t^6.396/g1 + t^6.52/g1^3 + g1^2*t^6.542 + 2*t^6.667 + t^6.791/g1^2 + 3*g1^3*t^6.813 + 3*g1*t^6.938 + t^7.062/g1 + t^7.187/g1^3 + 2*g1^2*t^7.209 + 2*t^7.333 + 2*g1^3*t^7.48 + 3*g1*t^7.604 + t^7.729/g1 + g1^4*t^7.751 + 2*g1^2*t^7.875 + 2*t^8. + (2*t^8.125)/g1^2 + 3*g1^3*t^8.147 + t^8.249/g1^4 - g1*t^8.271 - (4*t^8.396)/g1 + g1^4*t^8.418 + 4*g1^2*t^8.542 + 4*t^8.667 + (2*t^8.791)/g1^2 + 3*g1^3*t^8.813 + t^8.916/g1^4 - 4*g1*t^8.938 - t^4.333/y - (g1*t^6.604)/y - t^6.729/(g1*y) + t^7./y - (g1*t^7.271)/y + t^7.396/(g1*y) + (g1*t^7.938)/y + t^8.062/(g1*y) + (2*g1^2*t^8.209)/y + (2*t^8.333)/y + (2*g1*t^8.604)/y + (2*t^8.729)/(g1*y) - t^4.333*y - g1*t^6.604*y - (t^6.729*y)/g1 + t^7.*y - g1*t^7.271*y + (t^7.396*y)/g1 + g1*t^7.938*y + (t^8.062*y)/g1 + 2*g1^2*t^8.209*y + 2*t^8.333*y + 2*g1*t^8.604*y + (2*t^8.729*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56260 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6959 | 0.8686 | 0.8011 | [X:[1.3333], M:[0.6667, 1.1111, 0.7637, 0.7918, 1.1111, 0.9859, 0.6948], q:[0.7778, 0.5556], qb:[0.4585, 0.4304], phi:[0.4444]] | t^2.084 + t^2.291 + t^2.376 + 2*t^2.958 + 2*t^3.333 + 2*t^4. + t^4.084 + t^4.169 + t^4.291 + 2*t^4.376 + t^4.46 + t^4.582 + 2*t^4.667 + t^4.751 + 2*t^5.042 + 2*t^5.249 + 2*t^5.333 + 2*t^5.418 + t^5.624 + t^5.709 + 2*t^5.916 - 3*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48236 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6744 | 0.8272 | 0.8153 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 0.7778, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.333 + 2*t^3. + 2*t^3.333 + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 4*t^5.333 + 2*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 437/648, c: 67/81, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 7/9, M5: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |