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 |
|---|---|---|---|---|---|---|---|---|---|
| 1417 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_1\phi_1^2$ + $ M_6\phi_1^2$ | 0.6958 | 0.8525 | 0.8162 | [X:[], M:[1.0151, 0.9546, 1.0454, 0.9243, 1.0, 1.0151], q:[0.4697, 0.5151], qb:[0.4849, 0.5606], phi:[0.4924]] | [X:[], M:[[2], [-6], [6], [-10], [0], [2]], q:[[-4], [2]], qb:[[-2], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_5$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_1M_4$, $ M_4M_6$, $ M_1M_2$, $ M_3M_4$, $ M_2M_6$ | . | -2 | t^2.77 + t^2.86 + t^3. + 2*t^3.05 + t^3.09 + t^3.14 + t^4.3 + t^4.34 + t^4.39 + t^4.43 + t^4.48 + 2*t^4.57 + t^4.61 + t^4.7 + t^4.84 + t^5.55 + t^5.64 + 2*t^5.82 + 2*t^5.91 - 2*t^6. + t^6.05 + 2*t^6.09 + t^6.14 + 3*t^6.18 + t^7.07 + t^7.11 + 2*t^7.16 + t^7.2 + t^7.25 + t^7.3 + 2*t^7.34 + 3*t^7.39 + 3*t^7.43 + 2*t^7.48 + t^7.52 + t^7.57 + 2*t^7.61 + 2*t^7.66 + 2*t^7.7 + t^7.75 + t^7.84 + t^7.89 + t^7.93 + t^7.98 + t^8.32 + t^8.41 + 3*t^8.59 + t^8.64 + 3*t^8.68 + t^8.73 - t^8.77 - t^8.82 + t^8.86 + 3*t^8.95 - t^4.48/y - t^7.25/y + t^7.43/y - t^7.52/y + t^7.7/y + t^8.64/y + t^8.77/y + (2*t^8.82)/y + (2*t^8.86)/y + (3*t^8.91)/y + t^8.95/y - t^4.48*y - t^7.25*y + t^7.43*y - t^7.52*y + t^7.7*y + t^8.64*y + t^8.77*y + 2*t^8.82*y + 2*t^8.86*y + 3*t^8.91*y + t^8.95*y | t^2.77/g1^10 + t^2.86/g1^6 + t^3. + 2*g1^2*t^3.05 + g1^4*t^3.09 + g1^6*t^3.14 + t^4.3/g1^9 + t^4.34/g1^7 + t^4.39/g1^5 + t^4.43/g1^3 + t^4.48/g1 + 2*g1^3*t^4.57 + g1^5*t^4.61 + g1^9*t^4.7 + g1^15*t^4.84 + t^5.55/g1^20 + t^5.64/g1^16 + (2*t^5.82)/g1^8 + (2*t^5.91)/g1^4 - 2*t^6. + g1^2*t^6.05 + 2*g1^4*t^6.09 + g1^6*t^6.14 + 3*g1^8*t^6.18 + t^7.07/g1^19 + t^7.11/g1^17 + (2*t^7.16)/g1^15 + t^7.2/g1^13 + t^7.25/g1^11 + t^7.3/g1^9 + (2*t^7.34)/g1^7 + (3*t^7.39)/g1^5 + (3*t^7.43)/g1^3 + (2*t^7.48)/g1 + g1*t^7.52 + g1^3*t^7.57 + 2*g1^5*t^7.61 + 2*g1^7*t^7.66 + 2*g1^9*t^7.7 + g1^11*t^7.75 + g1^15*t^7.84 + g1^17*t^7.89 + g1^19*t^7.93 + g1^21*t^7.98 + t^8.32/g1^30 + t^8.41/g1^26 + (3*t^8.59)/g1^18 + t^8.64/g1^16 + (3*t^8.68)/g1^14 + t^8.73/g1^12 - t^8.77/g1^10 - t^8.82/g1^8 + t^8.86/g1^6 + (3*t^8.95)/g1^2 - t^4.48/(g1*y) - t^7.25/(g1^11*y) + t^7.43/(g1^3*y) - (g1*t^7.52)/y + (g1^9*t^7.7)/y + t^8.64/(g1^16*y) + t^8.77/(g1^10*y) + (2*t^8.82)/(g1^8*y) + (2*t^8.86)/(g1^6*y) + (3*t^8.91)/(g1^4*y) + t^8.95/(g1^2*y) - (t^4.48*y)/g1 - (t^7.25*y)/g1^11 + (t^7.43*y)/g1^3 - g1*t^7.52*y + g1^9*t^7.7*y + (t^8.64*y)/g1^16 + (t^8.77*y)/g1^10 + (2*t^8.82*y)/g1^8 + (2*t^8.86*y)/g1^6 + (3*t^8.91*y)/g1^4 + (t^8.95*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2476 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_1\phi_1^2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.701 | 0.8621 | 0.8131 | [X:[], M:[1.0222, 0.9333, 1.0667, 0.8888, 1.0, 1.0222, 0.9333], q:[0.4555, 0.5222], qb:[0.4778, 0.5889], phi:[0.4889]] | t^2.67 + 2*t^2.8 + t^3. + 2*t^3.07 + t^3.13 + t^4.2 + t^4.27 + t^4.33 + t^4.4 + t^4.47 + 2*t^4.6 + t^4.67 + t^4.8 + t^5. + t^5.33 + 2*t^5.47 + 2*t^5.6 + 2*t^5.73 + t^5.8 + 3*t^5.87 + t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 924 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_1\phi_1^2$ | 0.6973 | 0.8552 | 0.8154 | [X:[], M:[1.0176, 0.9472, 1.0528, 0.912, 1.0], q:[0.4648, 0.5176], qb:[0.4824, 0.5704], phi:[0.4912]] | t^2.74 + t^2.84 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.16 + t^4.26 + t^4.32 + t^4.37 + t^4.42 + t^4.47 + 2*t^4.58 + t^4.63 + t^4.74 + t^4.9 + t^5.47 + t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |