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 |
|---|---|---|---|---|---|---|---|---|---|
| 766 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ | 0.5604 | 0.6948 | 0.8065 | [X:[1.4355], M:[0.9129, 0.5645, 1.0871, 1.0, 0.9129], q:[0.8371, 0.75], qb:[0.25, 0.5113], phi:[0.4129]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-1]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.284 + t^2.477 + 2*t^2.739 + t^3. + t^3.523 + t^3.784 + t^4.045 + t^4.306 + t^4.568 + 2*t^4.761 + t^4.955 + 2*t^5.023 + t^5.216 + t^5.284 + 3*t^5.477 + t^5.739 + t^5.806 - t^6. + t^6.068 + t^6.261 + t^6.329 - t^6.455 + 2*t^6.523 + t^6.59 - t^6.716 + 2*t^6.784 + t^6.852 - t^6.977 + 3*t^7.045 + 3*t^7.306 + t^7.432 + t^7.5 + 2*t^7.568 + t^7.694 + 2*t^7.761 + t^7.829 + t^7.955 - t^8.023 + 3*t^8.09 + 2*t^8.216 - 2*t^8.284 + 2*t^8.352 + t^8.545 + 2*t^8.613 - 4*t^8.739 + 2*t^8.806 + t^8.874 - t^4.239/y - t^6.716/y - t^6.977/y + t^7.5/y + (2*t^7.761)/y + (2*t^8.023)/y + (2*t^8.216)/y + t^8.284/y + (2*t^8.477)/y + (2*t^8.739)/y + t^8.806/y - t^4.239*y - t^6.716*y - t^6.977*y + t^7.5*y + 2*t^7.761*y + 2*t^8.023*y + 2*t^8.216*y + t^8.284*y + 2*t^8.477*y + 2*t^8.739*y + t^8.806*y | g1^3*t^2.284 + t^2.477/g1^2 + (2*t^2.739)/g1 + t^3. + g1^2*t^3.523 + g1^3*t^3.784 + g1^4*t^4.045 + g1^5*t^4.306 + g1^6*t^4.568 + 2*g1*t^4.761 + t^4.955/g1^4 + 2*g1^2*t^5.023 + t^5.216/g1^3 + g1^3*t^5.284 + (3*t^5.477)/g1^2 + t^5.739/g1 + g1^5*t^5.806 - t^6. + g1^6*t^6.068 + g1*t^6.261 + g1^7*t^6.329 - t^6.455/g1^4 + 2*g1^2*t^6.523 + g1^8*t^6.59 - t^6.716/g1^3 + 2*g1^3*t^6.784 + g1^9*t^6.852 - t^6.977/g1^2 + 3*g1^4*t^7.045 + 3*g1^5*t^7.306 + t^7.432/g1^6 + t^7.5 + 2*g1^6*t^7.568 + t^7.694/g1^5 + 2*g1*t^7.761 + g1^7*t^7.829 + t^7.955/g1^4 - g1^2*t^8.023 + 3*g1^8*t^8.09 + (2*t^8.216)/g1^3 - 2*g1^3*t^8.284 + 2*g1^9*t^8.352 + g1^4*t^8.545 + 2*g1^10*t^8.613 - (4*t^8.739)/g1 + 2*g1^5*t^8.806 + g1^11*t^8.874 - t^4.239/(g1*y) - t^6.716/(g1^3*y) - t^6.977/(g1^2*y) + t^7.5/y + (2*g1*t^7.761)/y + (2*g1^2*t^8.023)/y + (2*t^8.216)/(g1^3*y) + (g1^3*t^8.284)/y + (2*t^8.477)/(g1^2*y) + (2*t^8.739)/(g1*y) + (g1^5*t^8.806)/y - (t^4.239*y)/g1 - (t^6.716*y)/g1^3 - (t^6.977*y)/g1^2 + t^7.5*y + 2*g1*t^7.761*y + 2*g1^2*t^8.023*y + (2*t^8.216*y)/g1^3 + g1^3*t^8.284*y + (2*t^8.477*y)/g1^2 + (2*t^8.739*y)/g1 + g1^5*t^8.806*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 |
|---|---|---|---|---|---|---|---|---|
| 1997 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.5801 | 0.7306 | 0.794 | [X:[1.4597], M:[0.9081, 0.5403, 1.0919, 1.0, 0.9081, 0.7242], q:[0.8419, 0.75], qb:[0.25, 0.5258], phi:[0.4081]] | t^2.173 + t^2.327 + t^2.448 + 2*t^2.724 + t^3. + t^3.552 + t^4.103 + t^4.345 + t^4.379 + t^4.5 + t^4.621 + t^4.655 + 2*t^4.776 + 3*t^4.897 + 2*t^5.052 + 2*t^5.173 + t^5.327 + 3*t^5.448 + 2*t^5.724 + t^5.879 - t^6. - t^4.224/y - t^4.224*y | detail | |
| 1248 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5588 | 0.6901 | 0.8098 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 0.9], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 17883/32000, c: 22083/32000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 9/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
| 1247 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4883 | 0.582 | 0.8389 | [X:[1.8333, 1.3333], M:[0.8333, 0.1667, 1.1667, 1.0, 0.8333], q:[0.9167, 0.75], qb:[0.25, 0.75], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + 2*t^4. + 4*t^5. + 3*t^5.5 - t^6. - t^4./y - t^4.*y | detail | {a: 125/256, c: 149/256, X1: 11/6, X2: 4/3, M1: 5/6, M2: 1/6, M3: 7/6, M4: 1, M5: 5/6, q1: 11/12, q2: 3/4, qb1: 1/4, qb2: 3/4, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 480 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.5873 | 0.7232 | 0.8121 | [X:[1.4354], M:[1.0024, 0.5646, 0.9976, 0.7764, 1.0024], q:[0.6917, 0.9177], qb:[0.3059, 0.5224], phi:[0.3906]] | t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. - t^4.172/y - t^4.172*y | detail |