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 |
|---|---|---|---|---|---|---|---|---|---|
| 47055 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5846 | 0.7385 | 0.7916 | [X:[1.3863], M:[0.6137, 0.6968, 1.0, 1.0758, 1.0758], q:[0.7689, 0.6174], qb:[0.5342, 0.2311], phi:[0.4621]] | [X:[[6]], M:[[-6], [16], [0], [-4], [-4]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.09 + t^2.296 + t^2.545 + t^3. + 2*t^3.227 + t^3.455 + t^3.682 + t^3.932 + t^4.159 + t^4.181 + t^4.386 + 2*t^4.592 + t^4.636 + t^4.841 + 2*t^5.09 + t^5.296 + 2*t^5.318 + 2*t^5.523 + 2*t^5.545 + 2*t^5.773 + t^5.978 - 2*t^6. + t^6.022 + 2*t^6.227 + t^6.271 + 3*t^6.455 + t^6.477 + 3*t^6.682 + t^6.726 + 2*t^6.887 + t^6.91 + t^7.137 + t^7.159 + 2*t^7.181 + 2*t^7.386 + 2*t^7.408 + t^7.592 + t^7.614 + 2*t^7.636 + 3*t^7.819 + 2*t^7.863 + t^8.046 + t^8.068 - t^8.09 + t^8.113 + 2*t^8.274 - 3*t^8.296 + 3*t^8.318 + t^8.362 + 2*t^8.523 + t^8.567 + 3*t^8.751 + 3*t^8.773 + t^8.817 + t^8.978 - t^4.386/y - t^6.477/y + t^7.159/y + t^7.386/y - t^7.614/y + t^7.636/y + t^7.841/y + t^8.09/y + (2*t^8.296)/y + (2*t^8.318)/y + (2*t^8.523)/y + (2*t^8.545)/y - t^8.567/y + t^8.751/y + (3*t^8.773)/y + t^8.978/y - t^4.386*y - t^6.477*y + t^7.159*y + t^7.386*y - t^7.614*y + t^7.636*y + t^7.841*y + t^8.09*y + 2*t^8.296*y + 2*t^8.318*y + 2*t^8.523*y + 2*t^8.545*y - t^8.567*y + t^8.751*y + 3*t^8.773*y + t^8.978*y | g1^16*t^2.09 + t^2.296/g1^14 + g1^8*t^2.545 + t^3. + (2*t^3.227)/g1^4 + t^3.455/g1^8 + t^3.682/g1^12 + g1^10*t^3.932 + g1^6*t^4.159 + g1^32*t^4.181 + g1^2*t^4.386 + (2*t^4.592)/g1^28 + g1^24*t^4.636 + t^4.841/g1^6 + 2*g1^16*t^5.09 + t^5.296/g1^14 + 2*g1^12*t^5.318 + (2*t^5.523)/g1^18 + 2*g1^8*t^5.545 + 2*g1^4*t^5.773 + t^5.978/g1^26 - 2*t^6. + g1^26*t^6.022 + (2*t^6.227)/g1^4 + g1^48*t^6.271 + (3*t^6.455)/g1^8 + g1^18*t^6.477 + (3*t^6.682)/g1^12 + g1^40*t^6.726 + (2*t^6.887)/g1^42 + t^6.91/g1^16 + t^7.137/g1^20 + g1^6*t^7.159 + 2*g1^32*t^7.181 + 2*g1^2*t^7.386 + 2*g1^28*t^7.408 + t^7.592/g1^28 + t^7.614/g1^2 + 2*g1^24*t^7.636 + (3*t^7.819)/g1^32 + 2*g1^20*t^7.863 + t^8.046/g1^36 + t^8.068/g1^10 - g1^16*t^8.09 + g1^42*t^8.113 + (2*t^8.274)/g1^40 - (3*t^8.296)/g1^14 + 3*g1^12*t^8.318 + g1^64*t^8.362 + (2*t^8.523)/g1^18 + g1^34*t^8.567 + (3*t^8.751)/g1^22 + 3*g1^4*t^8.773 + g1^56*t^8.817 + t^8.978/g1^26 - (g1^2*t^4.386)/y - (g1^18*t^6.477)/y + (g1^6*t^7.159)/y + (g1^2*t^7.386)/y - t^7.614/(g1^2*y) + (g1^24*t^7.636)/y + t^7.841/(g1^6*y) + (g1^16*t^8.09)/y + (2*t^8.296)/(g1^14*y) + (2*g1^12*t^8.318)/y + (2*t^8.523)/(g1^18*y) + (2*g1^8*t^8.545)/y - (g1^34*t^8.567)/y + t^8.751/(g1^22*y) + (3*g1^4*t^8.773)/y + t^8.978/(g1^26*y) - g1^2*t^4.386*y - g1^18*t^6.477*y + g1^6*t^7.159*y + g1^2*t^7.386*y - (t^7.614*y)/g1^2 + g1^24*t^7.636*y + (t^7.841*y)/g1^6 + g1^16*t^8.09*y + (2*t^8.296*y)/g1^14 + 2*g1^12*t^8.318*y + (2*t^8.523*y)/g1^18 + 2*g1^8*t^8.545*y - g1^34*t^8.567*y + (t^8.751*y)/g1^22 + 3*g1^4*t^8.773*y + (t^8.978*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55370 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.5641 | 0.6997 | 0.8062 | [X:[1.3899], M:[0.6101, 0.7065, 1.0, 1.0734, 1.0734, 1.2935], q:[0.7683, 0.6216], qb:[0.5252, 0.2317], phi:[0.4633]] | t^2.271 + t^2.56 + t^3. + 2*t^3.22 + t^3.44 + t^3.66 + t^3.881 + t^3.95 + t^4.17 + 2*t^4.541 + t^4.83 + t^5.119 + t^5.271 + 2*t^5.491 + t^5.56 + t^5.78 + t^5.931 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 50909 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6029 | 0.7716 | 0.7814 | [X:[1.3804], M:[0.6196, 0.6811, 1.0, 1.0797, 1.0797, 0.7608], q:[0.7699, 0.6105], qb:[0.5489, 0.2301], phi:[0.4601]] | t^2.043 + t^2.283 + t^2.337 + t^2.522 + t^3. + 2*t^3.239 + t^3.478 + t^3.902 + t^4.087 + t^4.141 + t^4.326 + t^4.38 + 2*t^4.565 + t^4.62 + 2*t^4.674 + t^4.804 + t^4.859 + 2*t^5.043 + 3*t^5.283 + t^5.337 + 4*t^5.522 + 2*t^5.576 + 2*t^5.761 + t^5.946 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 50781 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5846 | 0.7385 | 0.7917 | [X:[1.3846], M:[0.6154, 0.6923, 1.0, 1.0769, 1.0769], q:[0.7692, 0.6154], qb:[0.5385, 0.2308], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + t^4.846 + 2*t^5.077 + 3*t^5.308 + 4*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 10275/17576, c: 12979/17576, X1: 18/13, M1: 8/13, M2: 9/13, M3: 1, M4: 14/13, M5: 14/13, q1: 10/13, q2: 8/13, qb1: 7/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46506 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.5917 | 0.7504 | 0.7885 | [X:[1.3825], M:[0.6175, 0.6867, 1.0, 1.0783], q:[0.7696, 0.6129], qb:[0.5438, 0.2304], phi:[0.4608]] | t^2.06 + t^2.323 + t^2.53 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.705 + t^3.912 + t^4.12 + t^4.147 + t^4.382 + t^4.59 + 2*t^4.645 + t^4.825 + t^4.853 + 2*t^5.06 + t^5.088 + 2*t^5.295 + t^5.323 + 3*t^5.53 + t^5.558 + 2*t^5.765 + t^5.972 - t^6. - t^4.382/y - t^4.382*y | detail |