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 |
|---|---|---|---|---|---|---|---|---|---|
| 373 | 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_3\phi_1^2$ + $ M_3M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.4623, 0.613], qb:[0.4623, 0.613], phi:[0.4623]] | [X:[], M:[[-4, 1, 2], [0, -1, -6], [2, 0, 2], [-6, 0, -6], [-2, 0, -2]], q:[[-2, -1, -2], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \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_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1^2$ | $M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | 0 | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - 2*t^6.45 + 3*t^6.48 + 12*t^6.93 + t^6.97 + 11*t^7.39 + 4*t^7.42 + 5*t^7.84 + 8*t^7.87 - t^8.29 + 12*t^8.32 - 7*t^8.77 + 3*t^8.8 - t^4.39/y - t^6.71/y - (3*t^7.16)/y + (3*t^7.61)/y + t^8.07/y + (4*t^8.1)/y + (8*t^8.55)/y - t^4.39*y - t^6.71*y - 3*t^7.16*y + 3*t^7.61*y + t^8.07*y + 4*t^8.1*y + 8*t^8.55*y | t^2.32/(g1^6*g3^6) + t^2.77/(g2*g3^6) + (2*t^2.77)/(g1^2*g3^2) + (g2*g3^2*t^2.77)/g1^4 + g1^6*g2*t^3.23 + (g3^4*t^3.23)/(g1^2*g2) + t^4.16/(g1^5*g2^2*g3^5) + t^4.16/(g1^3*g3^3) + (g2^2*t^4.16)/(g1*g3) + (g1^3*t^4.61)/(g2*g3^3) + (g1^5*g2*t^4.61)/g3 + (g3^3*t^4.61)/(g1^3*g2) + (g2*g3^5*t^4.61)/g1 + t^4.64/(g1^12*g3^12) + (g1^11*t^5.07)/g3 + g1^5*g3^5*t^5.07 + (g3^11*t^5.07)/g1 + t^5.1/(g1^6*g2*g3^12) + (2*t^5.1)/(g1^8*g3^8) + (g2*t^5.1)/(g1^10*g3^4) + (g2*t^5.55)/g1^6 + t^5.55/(g2^2*g3^12) + t^5.55/(g1^2*g2*g3^8) + (4*t^5.55)/(g1^4*g3^4) + (g2^2*g3^4*t^5.55)/g1^8 - 4*t^6. + (2*g1^4*g2*t^6.)/g3^2 + (2*g3^2*t^6.)/(g1^4*g2) - (g1^6*t^6.45)/g2 + g1^12*g2^2*t^6.45 - g1^8*g2*g3^2*t^6.45 - (g3^6*t^6.45)/g2 + (g3^8*t^6.45)/(g1^4*g2^2) - g1^2*g2*g3^8*t^6.45 + t^6.48/(g1^11*g2^2*g3^11) + t^6.48/(g1^9*g3^9) + (g2^2*t^6.48)/(g1^7*g3^7) + t^6.93/(g1^5*g2^3*g3^11) + t^6.93/(g1^3*g2*g3^9) + (2*t^6.93)/(g1^7*g2^2*g3^7) + (g2*t^6.93)/(g1*g3^7) + (2*t^6.93)/(g1^5*g3^5) + t^6.93/(g1^9*g2*g3^3) + (2*g2^2*t^6.93)/(g1^3*g3^3) + (g2*t^6.93)/(g1^7*g3) + (g2^3*g3*t^6.93)/g1^5 + t^6.97/(g1^18*g3^18) + (g1^3*t^7.39)/(g2^2*g3^9) + (g1^5*t^7.39)/g3^7 + (2*g1*t^7.39)/(g2*g3^5) - t^7.39/(g1^3*g2^2*g3^3) + (2*g1^3*g2*t^7.39)/g3^3 - t^7.39/(g1*g3) + t^7.39/(g1^7*g2^3*g3) + (g1^5*g2^3*t^7.39)/g3 + (2*g3*t^7.39)/(g1^5*g2) - g1*g2^2*g3*t^7.39 + (2*g2*g3^3*t^7.39)/g1^3 + (g3^5*t^7.39)/g1^7 + (g2^2*g3^7*t^7.39)/g1^5 + t^7.42/(g1^12*g2*g3^18) + (2*t^7.42)/(g1^14*g3^14) + (g2*t^7.42)/(g1^16*g3^10) + (g1^11*t^7.84)/(g2*g3^7) + (2*g1^9*t^7.84)/g3^3 - (g1^5*t^7.84)/(g2*g3) + (g1^11*g2^2*t^7.84)/g3 - g1^7*g2*g3*t^7.84 + g1^3*g3^3*t^7.84 - (g3^5*t^7.84)/(g1*g2) + (g3^7*t^7.84)/(g1^5*g2^2) - g1*g2*g3^7*t^7.84 + (2*g3^9*t^7.84)/g1^3 + (g2*g3^13*t^7.84)/g1^5 + t^7.87/(g1^6*g2^2*g3^18) + t^7.87/(g1^8*g2*g3^14) + (4*t^7.87)/(g1^10*g3^10) + (g2*t^7.87)/(g1^12*g3^6) + (g2^2*t^7.87)/(g1^14*g3^2) + (g1^17*g2*t^8.29)/g3 - g1^13*g3*t^8.29 - g1^7*g3^7*t^8.29 - g1*g3^13*t^8.29 + (g3^15*t^8.29)/(g1^3*g2) + t^8.32/(g2^3*g3^18) + t^8.32/(g1^2*g2^2*g3^14) + t^8.32/(g1^10*g2^4*g3^10) + (2*t^8.32)/(g1^4*g2*g3^10) + (2*t^8.32)/(g1^6*g3^6) + (2*g2*t^8.32)/(g1^8*g3^2) + (g2^4*t^8.32)/(g1^2*g3^2) + (g2^2*g3^2*t^8.32)/g1^10 + (g2^3*g3^6*t^8.32)/g1^12 + (3*t^8.77)/(g1^6*g2) - g2^2*t^8.77 + t^8.77/(g1^2*g2^3*g3^8) - (3*t^8.77)/(g2*g3^6) - t^8.77/(g1^4*g2^2*g3^4) + (3*g1^2*g2*t^8.77)/g3^4 - (9*t^8.77)/(g1^2*g3^2) + t^8.77/(g1^8*g2^3*g3^2) + (g1^4*g2^3*t^8.77)/g3^2 - (3*g2*g3^2*t^8.77)/g1^4 + (g2^3*g3^4*t^8.77)/g1^2 + t^8.8/(g1^17*g2^2*g3^17) + t^8.8/(g1^15*g3^15) + (g2^2*t^8.8)/(g1^13*g3^13) - t^4.39/(g1*g3*y) - t^6.71/(g1^7*g3^7*y) - t^7.16/(g1*g2*g3^7*y) - t^7.16/(g1^3*g3^3*y) - (g2*g3*t^7.16)/(g1^5*y) + (g1^3*t^7.61)/(g2*g3^3*y) + (g1*g3*t^7.61)/y + (g2*g3^5*t^7.61)/(g1*y) + (g1^5*g3^5*t^8.07)/y + t^8.1/(g1^6*g2*g3^12*y) + (2*t^8.1)/(g1^8*g3^8*y) + (g2*t^8.1)/(g1^10*g3^4*y) + (2*g2*t^8.55)/(g1^6*y) + (2*t^8.55)/(g1^2*g2*g3^8*y) + (g2*t^8.55)/(g3^6*y) + (2*t^8.55)/(g1^4*g3^4*y) + t^8.55/(g1^8*g2*g3^2*y) - (t^4.39*y)/(g1*g3) - (t^6.71*y)/(g1^7*g3^7) - (t^7.16*y)/(g1*g2*g3^7) - (t^7.16*y)/(g1^3*g3^3) - (g2*g3*t^7.16*y)/g1^5 + (g1^3*t^7.61*y)/(g2*g3^3) + g1*g3*t^7.61*y + (g2*g3^5*t^7.61*y)/g1 + g1^5*g3^5*t^8.07*y + (t^8.1*y)/(g1^6*g2*g3^12) + (2*t^8.1*y)/(g1^8*g3^8) + (g2*t^8.1*y)/(g1^10*g3^4) + (2*g2*t^8.55*y)/g1^6 + (2*t^8.55*y)/(g1^2*g2*g3^8) + (g2*t^8.55*y)/g3^6 + (2*t^8.55*y)/(g1^4*g3^4) + (t^8.55*y)/(g1^8*g2*g3^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1830 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.63 | 0.78 | 0.8077 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8], q:[0.4, 0.8], qb:[0.4, 0.8], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, X1: 8/5, M1: 4/5, M2: 4/5, M3: 6/5, M4: 2/5, M5: 4/5, q1: 2/5, q2: 4/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
| 1831 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6977 | 0.8713 | 0.8008 | [X:[], M:[0.9913, 0.7877, 1.1105, 0.6686, 0.8895], q:[0.4549, 0.5538], qb:[0.4346, 0.7776], phi:[0.4448]] | t^2.01 + t^2.36 + 2*t^2.67 + 2*t^2.97 + t^3.7 + t^3.94 + t^4. + t^4.01 + t^4.06 + t^4.3 + t^4.36 + t^4.37 + t^4.66 + 2*t^4.67 + t^4.73 + t^4.97 + t^4.98 + 2*t^5.03 + t^5.33 + 4*t^5.34 + 2*t^5.63 + t^5.64 + t^5.93 + 2*t^5.95 - 3*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 229 | 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_3\phi_1^2$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.4664, 0.6008], qb:[0.4664, 0.6008], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*y | detail |