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 |
|---|---|---|---|---|---|---|---|---|---|
| 47209 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ | 0.5988 | 0.7618 | 0.7861 | [X:[1.3822], M:[0.6178, 0.6859, 1.0, 0.6963, 1.3141], q:[0.7696, 0.6126], qb:[0.5445, 0.2304], phi:[0.4607]] | [X:[[6]], M:[[-6], [16], [0], [-10], [-16]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.089 + t^2.325 + t^2.529 + 2*t^2.764 + t^3. + t^3.471 + t^3.707 + t^3.942 + t^4.147 + t^4.178 + t^4.414 + t^4.618 + 2*t^4.649 + 3*t^4.853 + t^5.058 + 3*t^5.089 + 2*t^5.293 + t^5.325 + 4*t^5.529 + t^5.56 + t^5.764 + t^5.796 - 2*t^6. + 2*t^6.031 - t^6.204 + 2*t^6.236 + 2*t^6.267 - t^6.44 + 3*t^6.471 + t^6.503 + 2*t^6.707 + 2*t^6.738 + 3*t^6.942 + 2*t^6.974 + 4*t^7.178 + 6*t^7.414 + 4*t^7.618 + 3*t^7.649 + t^7.822 + 4*t^7.853 + t^7.885 + 3*t^8.058 - t^8.089 + 3*t^8.12 + 4*t^8.293 - t^8.325 + 4*t^8.356 - 3*t^8.529 + t^8.56 + 3*t^8.591 - 7*t^8.764 + 5*t^8.796 + 2*t^8.827 - 2*t^8.969 - t^4.382/y - t^6.471/y - t^7.147/y + t^7.414/y + (2*t^7.618)/y + (3*t^7.853)/y + (3*t^8.089)/y + (3*t^8.293)/y + t^8.325/y + (2*t^8.529)/y + (2*t^8.764)/y + (2*t^8.796)/y - t^4.382*y - t^6.471*y - t^7.147*y + t^7.414*y + 2*t^7.618*y + 3*t^7.853*y + 3*t^8.089*y + 3*t^8.293*y + t^8.325*y + 2*t^8.529*y + 2*t^8.764*y + 2*t^8.796*y | t^2.089/g1^10 + t^2.325/g1^14 + g1^8*t^2.529 + 2*g1^4*t^2.764 + t^3. + t^3.471/g1^8 + t^3.707/g1^12 + t^3.942/g1^16 + g1^6*t^4.147 + t^4.178/g1^20 + t^4.414/g1^24 + t^4.618/g1^2 + (2*t^4.649)/g1^28 + (3*t^4.853)/g1^6 + g1^16*t^5.058 + (3*t^5.089)/g1^10 + 2*g1^12*t^5.293 + t^5.325/g1^14 + 4*g1^8*t^5.529 + t^5.56/g1^18 + g1^4*t^5.764 + t^5.796/g1^22 - 2*t^6. + (2*t^6.031)/g1^26 - g1^22*t^6.204 + (2*t^6.236)/g1^4 + (2*t^6.267)/g1^30 - g1^18*t^6.44 + (3*t^6.471)/g1^8 + t^6.503/g1^34 + (2*t^6.707)/g1^12 + (2*t^6.738)/g1^38 + (3*t^6.942)/g1^16 + (2*t^6.974)/g1^42 + (4*t^7.178)/g1^20 + (6*t^7.414)/g1^24 + (4*t^7.618)/g1^2 + (3*t^7.649)/g1^28 + g1^20*t^7.822 + (4*t^7.853)/g1^6 + t^7.885/g1^32 + 3*g1^16*t^8.058 - t^8.089/g1^10 + (3*t^8.12)/g1^36 + 4*g1^12*t^8.293 - t^8.325/g1^14 + (4*t^8.356)/g1^40 - 3*g1^8*t^8.529 + t^8.56/g1^18 + (3*t^8.591)/g1^44 - 7*g1^4*t^8.764 + (5*t^8.796)/g1^22 + (2*t^8.827)/g1^48 - 2*g1^26*t^8.969 - (g1^2*t^4.382)/y - t^6.471/(g1^8*y) - (g1^6*t^7.147)/y + t^7.414/(g1^24*y) + (2*t^7.618)/(g1^2*y) + (3*t^7.853)/(g1^6*y) + (3*t^8.089)/(g1^10*y) + (3*g1^12*t^8.293)/y + t^8.325/(g1^14*y) + (2*g1^8*t^8.529)/y + (2*g1^4*t^8.764)/y + (2*t^8.796)/(g1^22*y) - g1^2*t^4.382*y - (t^6.471*y)/g1^8 - g1^6*t^7.147*y + (t^7.414*y)/g1^24 + (2*t^7.618*y)/g1^2 + (3*t^7.853*y)/g1^6 + (3*t^8.089*y)/g1^10 + 3*g1^12*t^8.293*y + (t^8.325*y)/g1^14 + 2*g1^8*t^8.529*y + 2*g1^4*t^8.764*y + (2*t^8.796*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55453 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5917 | 0.7509 | 0.788 | [X:[1.3867], M:[0.6133, 0.6977, 1.0, 0.6889, 1.3023, 1.0756], q:[0.7689, 0.6178], qb:[0.5334, 0.2311], phi:[0.4622]] | t^2.067 + t^2.293 + t^2.547 + t^2.773 + t^3. + t^3.227 + t^3.453 + t^3.68 + t^3.907 + t^4.133 + t^4.16 + t^4.36 + 2*t^4.587 + t^4.613 + 2*t^4.84 + 2*t^5.067 + t^5.093 + 2*t^5.293 + t^5.32 + 2*t^5.52 + 2*t^5.547 + t^5.747 + t^5.773 + 2*t^5.974 - t^6. - t^4.387/y - t^4.387*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. - t^4.381/y - t^4.381*y | detail |