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 |
|---|---|---|---|---|---|---|---|---|---|
| 268 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.6707 | 0.8047 | 0.8336 | [M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | [M:[[1], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$ | -3 | t^2.571 + 3*t^3. + 3*t^3.857 + 6*t^4.286 + t^5.143 + 3*t^5.571 - 3*t^6. + 11*t^6.857 + 7*t^7.286 + t^7.714 + 13*t^8.143 + 9*t^8.571 - t^4.286/y - t^6.857/y + t^7.714/y + (3*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.714*y + 3*t^8.571*y | t^2.571 + t^3. + t^3./g1 + g1*t^3. + t^3.857 + t^3.857/g1 + g1*t^3.857 + 2*t^4.286 + t^4.286/g1^2 + t^4.286/g1 + g1*t^4.286 + g1^2*t^4.286 + t^5.143 + t^5.571 + t^5.571/g1 + g1*t^5.571 - t^6. - t^6./g1 - g1*t^6. + 3*t^6.857 + (2*t^6.857)/g1^2 + (2*t^6.857)/g1 + 2*g1*t^6.857 + 2*g1^2*t^6.857 + t^7.286 + t^7.286/g1^3 + t^7.286/g1^2 + t^7.286/g1 + g1*t^7.286 + g1^2*t^7.286 + g1^3*t^7.286 + t^7.714 + 3*t^8.143 + t^8.143/g1^3 + t^8.143/g1^2 + (3*t^8.143)/g1 + 3*g1*t^8.143 + g1^2*t^8.143 + g1^3*t^8.143 + t^8.571 + t^8.571/g1^4 + t^8.571/g1^3 + (2*t^8.571)/g1^2 + 2*g1^2*t^8.571 + g1^3*t^8.571 + g1^4*t^8.571 - t^4.286/y - t^6.857/y + t^7.714/y + t^8.571/y + t^8.571/(g1*y) + (g1*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.714*y + t^8.571*y + (t^8.571*y)/g1 + g1*t^8.571*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 |
|---|---|---|---|---|---|---|---|---|
| 433 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.672 | 0.8077 | 0.832 | [M:[1.0276, 1.0, 0.9724, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | t^2.571 + 2*t^2.917 + t^3. + t^3.774 + t^3.857 + t^3.94 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + t^5.143 + 2*t^5.489 + t^5.571 + 2*t^5.834 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 431 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6363 | 0.7702 | 0.8261 | [M:[1.1429, 1.0, 0.8571], q:[0.7857, 0.3571], qb:[0.5, 0.6429], phi:[0.4286]] | 2*t^2.571 + t^3. + 3*t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 3*t^5.143 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 873/1372, c: 4227/5488, M1: 8/7, M2: 1, M3: 6/7, q1: 11/14, q2: 5/14, qb1: 1/2, qb2: 9/14, phi1: 3/7} |
| 432 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.691 | 0.8432 | 0.8195 | [M:[0.9936, 1.0, 1.0064, 0.7078], q:[0.7857, 0.5064], qb:[0.5, 0.4936], phi:[0.4286]] | t^2.124 + t^2.571 + t^2.981 + t^3. + t^3.019 + t^3.838 + t^3.857 + 2*t^4.247 + t^4.266 + 2*t^4.286 + t^4.305 + t^4.324 + t^4.695 + t^5.104 + t^5.124 + 2*t^5.143 + t^5.552 + t^5.571 + t^5.591 + t^5.961 - t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 171 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |