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 |
|---|---|---|---|---|---|---|---|---|---|
| 739 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6477 | 0.8091 | 0.8005 | [M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | [M:[[-6], [-14], [6], [6], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.312 + t^2.375 + 3*t^2.438 + t^3.499 + t^3.625 + t^3.688 + t^3.751 + t^4.624 + t^4.687 + 4*t^4.75 + 4*t^4.813 + 6*t^4.876 + t^5.811 + 2*t^5.937 - t^6. + 3*t^6.063 + 3*t^6.126 + 3*t^6.189 + t^6.935 + 2*t^6.998 + 3*t^7.061 + 3*t^7.124 + 7*t^7.187 + 6*t^7.25 + 8*t^7.313 + t^7.376 + t^7.439 + t^7.502 + t^8.123 + 2*t^8.249 - 3*t^8.312 - 5*t^8.438 + 5*t^8.501 + 6*t^8.564 + 6*t^8.627 - t^4.187/y - t^6.499/y - t^6.562/y - (2*t^6.625)/y + t^7.687/y + (5*t^7.75)/y + (4*t^7.813)/y + (4*t^7.876)/y + t^8.937/y - t^4.187*y - t^6.499*y - t^6.562*y - 2*t^6.625*y + t^7.687*y + 5*t^7.75*y + 4*t^7.813*y + 4*t^7.876*y + t^8.937*y | t^2.312/g1^14 + t^2.375/g1^4 + 3*g1^6*t^2.438 + t^3.499/g1^16 + g1^4*t^3.625 + g1^14*t^3.688 + g1^24*t^3.751 + t^4.624/g1^28 + t^4.687/g1^18 + (4*t^4.75)/g1^8 + 4*g1^2*t^4.813 + 6*g1^12*t^4.876 + t^5.811/g1^30 + (2*t^5.937)/g1^10 - t^6. + 3*g1^10*t^6.063 + 3*g1^20*t^6.126 + 3*g1^30*t^6.189 + t^6.935/g1^42 + (2*t^6.998)/g1^32 + (3*t^7.061)/g1^22 + (3*t^7.124)/g1^12 + (7*t^7.187)/g1^2 + 6*g1^8*t^7.25 + 8*g1^18*t^7.313 + g1^28*t^7.376 + g1^38*t^7.439 + g1^48*t^7.502 + t^8.123/g1^44 + (2*t^8.249)/g1^24 - (3*t^8.312)/g1^14 - 5*g1^6*t^8.438 + 5*g1^16*t^8.501 + 6*g1^26*t^8.564 + 6*g1^36*t^8.627 - t^4.187/(g1^2*y) - t^6.499/(g1^16*y) - t^6.562/(g1^6*y) - (2*g1^4*t^6.625)/y + t^7.687/(g1^18*y) + (5*t^7.75)/(g1^8*y) + (4*g1^2*t^7.813)/y + (4*g1^12*t^7.876)/y + t^8.937/(g1^10*y) - (t^4.187*y)/g1^2 - (t^6.499*y)/g1^16 - (t^6.562*y)/g1^6 - 2*g1^4*t^6.625*y + (t^7.687*y)/g1^18 + (5*t^7.75*y)/g1^8 + 4*g1^2*t^7.813*y + 4*g1^12*t^7.876*y + (t^8.937*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1213 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}^{2}$ | 0.5734 | 0.7431 | 0.7717 | [M:[1.2857, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.2143], qb:[0.5, 0.7857], phi:[0.4286]] | 3*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + 7*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 3147/5488, c: 2039/2744, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
| 1215 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6647 | 0.8391 | 0.7922 | [M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | t^2.294 + 2*t^2.37 + 3*t^2.445 + t^3.479 + t^3.706 + t^3.781 + t^4.588 + 2*t^4.664 + 6*t^4.74 + 7*t^4.815 + 6*t^4.891 + t^5.773 + t^5.849 + t^5.924 - 2*t^6. - t^4.185/y - t^4.185*y | detail | |
| 1992 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6674 | 0.8457 | 0.7891 | [M:[1.18, 0.7534, 0.82, 0.82, 0.82, 0.7201], q:[0.8033, 0.4433], qb:[0.3767, 0.8033], phi:[0.3933]] | t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 441 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail |