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 |
|---|---|---|---|---|---|---|---|---|---|
| 47228 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6892 | 0.8559 | 0.8053 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-2], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.14 + t^2.263 + t^2.667 + 2*t^2.93 + t^3.333 + t^3.597 + 2*t^4. + t^4.14 + t^4.263 + t^4.28 + 2*t^4.403 + t^4.527 + t^4.667 + t^4.807 + t^4.93 + 2*t^5.07 + 2*t^5.193 + t^5.333 + t^5.473 + 2*t^5.597 + 3*t^5.86 - 2*t^6. + t^6.14 + 3*t^6.263 + t^6.28 + t^6.42 + 3*t^6.527 + 2*t^6.543 + 2*t^6.667 + t^6.79 + 2*t^6.807 + 4*t^6.93 + t^6.946 + t^7.07 + 2*t^7.193 + 2*t^7.21 + 3*t^7.333 + 2*t^7.457 + 3*t^7.597 + t^7.613 + t^7.737 + 2*t^7.86 + 4*t^8. + 3*t^8.124 - t^8.14 - t^8.263 + 2*t^8.28 + t^8.403 + t^8.42 + 3*t^8.527 + t^8.543 + t^8.559 + 2*t^8.683 + 5*t^8.79 + 2*t^8.807 - 2*t^8.93 + 2*t^8.946 - t^4.333/y - t^6.473/y - t^6.597/y - t^7.263/y + (2*t^7.403)/y + t^7.807/y + t^7.93/y + (3*t^8.07)/y + (3*t^8.193)/y + t^8.473/y + (3*t^8.597)/y - t^8.613/y + t^8.86/y - t^4.333*y - t^6.473*y - t^6.597*y - t^7.263*y + 2*t^7.403*y + t^7.807*y + t^7.93*y + 3*t^8.07*y + 3*t^8.193*y + t^8.473*y + 3*t^8.597*y - t^8.613*y + t^8.86*y | t^2.14/g1^2 + g1*t^2.263 + t^2.667 + 2*g1*t^2.93 + t^3.333 + g1*t^3.597 + 2*t^4. + t^4.14/g1^2 + g1*t^4.263 + t^4.28/g1^4 + (2*t^4.403)/g1 + g1^2*t^4.527 + t^4.667 + t^4.807/g1^2 + g1*t^4.93 + (2*t^5.07)/g1 + 2*g1^2*t^5.193 + t^5.333 + t^5.473/g1^2 + 2*g1*t^5.597 + 3*g1^2*t^5.86 - 2*t^6. + t^6.14/g1^2 + 3*g1*t^6.263 + t^6.28/g1^4 + t^6.42/g1^6 + 3*g1^2*t^6.527 + (2*t^6.543)/g1^3 + 2*t^6.667 + g1^3*t^6.79 + (2*t^6.807)/g1^2 + 4*g1*t^6.93 + t^6.946/g1^4 + t^7.07/g1 + 2*g1^2*t^7.193 + (2*t^7.21)/g1^3 + 3*t^7.333 + 2*g1^3*t^7.457 + 3*g1*t^7.597 + t^7.613/g1^4 + t^7.737/g1 + 2*g1^2*t^7.86 + 4*t^8. + 3*g1^3*t^8.124 - t^8.14/g1^2 - g1*t^8.263 + (2*t^8.28)/g1^4 + t^8.403/g1 + t^8.42/g1^6 + 3*g1^2*t^8.527 + t^8.543/g1^3 + t^8.559/g1^8 + (2*t^8.683)/g1^5 + 5*g1^3*t^8.79 + (2*t^8.807)/g1^2 - 2*g1*t^8.93 + (2*t^8.946)/g1^4 - t^4.333/y - t^6.473/(g1^2*y) - (g1*t^6.597)/y - (g1*t^7.263)/y + (2*t^7.403)/(g1*y) + t^7.807/(g1^2*y) + (g1*t^7.93)/y + (3*t^8.07)/(g1*y) + (3*g1^2*t^8.193)/y + t^8.473/(g1^2*y) + (3*g1*t^8.597)/y - t^8.613/(g1^4*y) + (g1^2*t^8.86)/y - t^4.333*y - (t^6.473*y)/g1^2 - g1*t^6.597*y - g1*t^7.263*y + (2*t^7.403*y)/g1 + (t^7.807*y)/g1^2 + g1*t^7.93*y + (3*t^8.07*y)/g1 + 3*g1^2*t^8.193*y + (t^8.473*y)/g1^2 + 3*g1*t^8.597*y - (t^8.613*y)/g1^4 + g1^2*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 55486 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.6992 | 0.8728 | 0.8011 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767, 0.8889], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | t^2.14 + t^2.263 + 2*t^2.667 + 2*t^2.93 + t^3.597 + 2*t^4. + t^4.14 + t^4.263 + t^4.28 + 2*t^4.403 + t^4.527 + t^4.667 + 2*t^4.807 + 2*t^4.93 + 2*t^5.07 + 2*t^5.193 + 3*t^5.333 + 3*t^5.597 + 3*t^5.86 - 3*t^6. - t^4.333/y - t^4.333*y | detail | |
| 55560 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6705 | 0.8223 | 0.8154 | [X:[1.3333], M:[0.6667, 1.1111, 0.7619, 0.6984, 0.9841, 1.2381], q:[0.7778, 0.5556], qb:[0.4603, 0.4286], phi:[0.4444]] | t^2.095 + t^2.667 + 2*t^2.952 + t^3.333 + t^3.619 + t^3.714 + 2*t^4. + t^4.095 + t^4.19 + t^4.286 + t^4.381 + t^4.667 + t^4.762 + 2*t^5.048 + t^5.333 + t^5.429 + t^5.619 + t^5.81 + 2*t^5.905 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 1577/2352, c: 967/1176, X1: 4/3, M1: 2/3, M2: 10/9, M3: 16/21, M4: 44/63, M5: 62/63, M6: 26/21, q1: 7/9, q2: 5/9, qb1: 29/63, qb2: 3/7, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.049 + t^2.309 + t^2.667 + t^2.975 + t^3.025 + t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^4.716 + t^4.975 + t^5.025 + t^5.074 + t^5.284 + 2*t^5.333 + t^5.383 + t^5.642 + t^5.691 + t^5.951 - t^6. - t^4.333/y - t^4.333*y | detail |