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 |
|---|---|---|---|---|---|---|---|---|---|
| 1087 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.632 | 0.7882 | 0.8018 | [M:[1.0543, 1.1486, 0.7772, 0.7228, 1.0, 0.9257], q:[0.7871, 0.2871], qb:[0.6585, 0.5643], phi:[0.4257]] | [M:[[12], [-4], [6], [-6], [0], [2]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.168 + t^2.332 + t^2.554 + t^2.777 + t^3. + t^3.163 + t^3.446 + t^4.054 + t^4.114 + 2*t^4.337 + t^4.5 + 2*t^4.663 + t^4.723 + 2*t^4.946 + 2*t^5.109 + t^5.228 + 3*t^5.332 + t^5.495 + 2*t^5.554 + t^5.614 + t^5.777 + t^5.94 - t^6. + 2*t^6.223 + t^6.326 + 2*t^6.505 + t^6.609 + t^6.668 + 2*t^6.832 + 2*t^6.891 + t^6.995 + 3*t^7.114 + 2*t^7.217 + t^7.277 + t^7.397 + 2*t^7.44 + 3*t^7.5 + 3*t^7.663 + 2*t^7.723 + 2*t^7.783 + 2*t^7.826 + t^7.886 - t^7.946 + t^8.005 + 5*t^8.109 - 3*t^8.168 + t^8.228 + t^8.272 - t^8.332 + 3*t^8.391 + t^8.495 - t^8.614 + t^8.658 + 3*t^8.674 + 2*t^8.717 - 2*t^8.777 - t^4.277/y - t^6.446/y - t^6.609/y - t^7.054/y + t^7.114/y - t^7.44/y + (2*t^7.5)/y + t^7.723/y + t^7.886/y + (2*t^7.946)/y + (2*t^8.109)/y + t^8.168/y + (3*t^8.332)/y + t^8.495/y + t^8.554/y + t^8.717/y + t^8.777/y - t^4.277*y - t^6.446*y - t^6.609*y - t^7.054*y + t^7.114*y - t^7.44*y + 2*t^7.5*y + t^7.723*y + t^7.886*y + 2*t^7.946*y + 2*t^8.109*y + t^8.168*y + 3*t^8.332*y + t^8.495*y + t^8.554*y + t^8.717*y + t^8.777*y | t^2.168/g1^6 + g1^6*t^2.332 + g1^4*t^2.554 + g1^2*t^2.777 + t^3. + g1^12*t^3.163 + t^3.446/g1^4 + g1^4*t^4.054 + t^4.114/g1^10 + (2*t^4.337)/g1^12 + t^4.5 + 2*g1^12*t^4.663 + t^4.723/g1^2 + (2*t^4.946)/g1^4 + 2*g1^8*t^5.109 + t^5.228/g1^20 + 3*g1^6*t^5.332 + g1^18*t^5.495 + 2*g1^4*t^5.554 + t^5.614/g1^10 + g1^2*t^5.777 + g1^14*t^5.94 - t^6. + (2*t^6.223)/g1^2 + g1^24*t^6.326 + (2*t^6.505)/g1^18 + g1^8*t^6.609 + t^6.668/g1^6 + 2*g1^6*t^6.832 + (2*t^6.891)/g1^8 + g1^18*t^6.995 + (3*t^7.114)/g1^10 + 2*g1^16*t^7.217 + g1^2*t^7.277 + t^7.397/g1^26 + 2*g1^14*t^7.44 + 3*t^7.5 + 3*g1^12*t^7.663 + (2*t^7.723)/g1^2 + (2*t^7.783)/g1^16 + 2*g1^24*t^7.826 + g1^10*t^7.886 - t^7.946/g1^4 + t^8.005/g1^18 + 5*g1^8*t^8.109 - (3*t^8.168)/g1^6 + t^8.228/g1^20 + g1^20*t^8.272 - g1^6*t^8.332 + (3*t^8.391)/g1^8 + g1^18*t^8.495 - t^8.614/g1^10 + g1^30*t^8.658 + (3*t^8.674)/g1^24 + 2*g1^16*t^8.717 - 2*g1^2*t^8.777 - (g1^2*t^4.277)/y - t^6.446/(g1^4*y) - (g1^8*t^6.609)/y - (g1^4*t^7.054)/y + t^7.114/(g1^10*y) - (g1^14*t^7.44)/y + (2*t^7.5)/y + t^7.723/(g1^2*y) + (g1^10*t^7.886)/y + (2*t^7.946)/(g1^4*y) + (2*g1^8*t^8.109)/y + t^8.168/(g1^6*y) + (3*g1^6*t^8.332)/y + (g1^18*t^8.495)/y + (g1^4*t^8.554)/y + (g1^16*t^8.717)/y + (g1^2*t^8.777)/y - g1^2*t^4.277*y - (t^6.446*y)/g1^4 - g1^8*t^6.609*y - g1^4*t^7.054*y + (t^7.114*y)/g1^10 - g1^14*t^7.44*y + 2*t^7.5*y + (t^7.723*y)/g1^2 + g1^10*t^7.886*y + (2*t^7.946*y)/g1^4 + 2*g1^8*t^8.109*y + (t^8.168*y)/g1^6 + 3*g1^6*t^8.332*y + g1^18*t^8.495*y + g1^4*t^8.554*y + g1^16*t^8.717*y + g1^2*t^8.777*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 |
|---|---|---|---|---|---|---|---|---|
| 1689 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.6318 | 0.788 | 0.8017 | [M:[1.0714, 1.1429, 0.7857, 0.7143, 1.0, 0.9286], q:[0.7857, 0.2857], qb:[0.6429, 0.5714], phi:[0.4286]] | t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + 2*t^4.071 + 2*t^4.286 + t^4.5 + 3*t^4.714 + 2*t^4.929 + 3*t^5.143 + 3*t^5.357 + 4*t^5.571 + t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 55473/87808, c: 69193/87808, M1: 15/14, M2: 8/7, M3: 11/14, M4: 5/7, M5: 1, M6: 13/14, q1: 11/14, q2: 2/7, qb1: 9/14, qb2: 4/7, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 676 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6252 | 0.7769 | 0.8047 | [M:[1.0648, 1.1451, 0.7824, 0.7176, 1.0], q:[0.7863, 0.2863], qb:[0.6489, 0.5687], phi:[0.4275]] | t^2.153 + t^2.347 + t^2.565 + t^3. + t^3.194 + t^3.218 + t^3.435 + t^4.065 + t^4.088 + 2*t^4.306 + t^4.5 + 2*t^4.694 + t^4.718 + t^4.935 + t^5.13 + t^5.176 + 2*t^5.347 + t^5.37 + t^5.542 + 2*t^5.565 + t^5.588 + t^5.782 - t^6. - t^4.282/y - t^4.282*y | detail |