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 |
|---|---|---|---|---|---|---|---|---|---|
| 5473 | 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_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.7998 | 0.7772 | [X:[], M:[0.815, 0.8887, 0.9816, 0.7222, 1.2778, 0.7222, 1.0184, 0.8519], q:[0.7406, 0.4444], qb:[0.2778, 0.8335], phi:[0.4259]] | [X:[], M:[[16], [-12], [7], [-3], [3], [-3], [-7], [2]], q:[[-10], [-6]], qb:[[3], [9]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_1$, $ M_8$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_7$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_8$, $ M_6M_8$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_6M_7$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_3$, $ M_1M_7$, $ M_3M_8$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_2M_7$, $ \phi_1q_1^2$ | . | -2 | 2*t^2.17 + t^2.45 + 2*t^2.56 + t^2.67 + t^2.94 + t^3.06 + t^3.94 + 3*t^4.33 + 2*t^4.61 + 5*t^4.72 + 2*t^4.83 + t^4.89 + 2*t^5. + 6*t^5.11 + 4*t^5.22 + t^5.33 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 - 2*t^6. + 2*t^6.11 - t^6.39 + 4*t^6.5 + t^6.61 + t^6.78 + 5*t^6.89 + 3*t^7. + 2*t^7.06 + 4*t^7.17 + 10*t^7.28 + t^7.34 + 6*t^7.39 + 2*t^7.45 + 2*t^7.5 + 6*t^7.56 + 9*t^7.67 + 7*t^7.78 + t^7.83 + 5*t^7.89 + 2*t^7.95 + t^8. + 2*t^8.06 - 3*t^8.17 + 4*t^8.28 + t^8.39 - 3*t^8.45 - 8*t^8.56 + 2*t^8.67 + 2*t^8.78 - t^8.83 - 5*t^8.94 - t^4.28/y - t^6.44/y - t^6.72/y - (2*t^6.83)/y - t^6.94/y + t^7.33/y + (3*t^7.61)/y + (6*t^7.72)/y + (3*t^7.83)/y + (2*t^8.)/y + (5*t^8.11)/y + (4*t^8.22)/y + t^8.39/y + (3*t^8.5)/y + (2*t^8.61)/y + t^8.72/y - t^8.89/y - t^4.28*y - t^6.44*y - t^6.72*y - 2*t^6.83*y - t^6.94*y + t^7.33*y + 3*t^7.61*y + 6*t^7.72*y + 3*t^7.83*y + 2*t^8.*y + 5*t^8.11*y + 4*t^8.22*y + t^8.39*y + 3*t^8.5*y + 2*t^8.61*y + t^8.72*y - t^8.89*y | (2*t^2.17)/g1^3 + g1^16*t^2.45 + 2*g1^2*t^2.56 + t^2.67/g1^12 + g1^7*t^2.94 + t^3.06/g1^7 + t^3.94/g1^11 + (3*t^4.33)/g1^6 + 2*g1^13*t^4.61 + (5*t^4.72)/g1 + (2*t^4.83)/g1^15 + g1^32*t^4.89 + 2*g1^18*t^5. + 6*g1^4*t^5.11 + (4*t^5.22)/g1^10 + t^5.33/g1^24 + g1^23*t^5.39 + 2*g1^9*t^5.5 + (2*t^5.61)/g1^5 + t^5.72/g1^19 - 2*t^6. + (2*t^6.11)/g1^14 - g1^5*t^6.39 + (4*t^6.5)/g1^9 + t^6.61/g1^23 + g1^10*t^6.78 + (5*t^6.89)/g1^4 + (3*t^7.)/g1^18 + 2*g1^29*t^7.06 + 4*g1^15*t^7.17 + 10*g1*t^7.28 + g1^48*t^7.34 + (6*t^7.39)/g1^13 + 2*g1^34*t^7.45 + (2*t^7.5)/g1^27 + 6*g1^20*t^7.56 + 9*g1^6*t^7.67 + (7*t^7.78)/g1^8 + g1^39*t^7.83 + (5*t^7.89)/g1^22 + 2*g1^25*t^7.95 + t^8./g1^36 + 2*g1^11*t^8.06 - (3*t^8.17)/g1^3 + (4*t^8.28)/g1^17 + t^8.39/g1^31 - 3*g1^16*t^8.45 - 8*g1^2*t^8.56 + (2*t^8.67)/g1^12 + (2*t^8.78)/g1^26 - g1^21*t^8.83 - 5*g1^7*t^8.94 - (g1*t^4.28)/y - t^6.44/(g1^2*y) - (g1^17*t^6.72)/y - (2*g1^3*t^6.83)/y - t^6.94/(g1^11*y) + t^7.33/(g1^6*y) + (3*g1^13*t^7.61)/y + (6*t^7.72)/(g1*y) + (3*t^7.83)/(g1^15*y) + (2*g1^18*t^8.)/y + (5*g1^4*t^8.11)/y + (4*t^8.22)/(g1^10*y) + (g1^23*t^8.39)/y + (3*g1^9*t^8.5)/y + (2*t^8.61)/(g1^5*y) + t^8.72/(g1^19*y) - (g1^14*t^8.89)/y - g1*t^4.28*y - (t^6.44*y)/g1^2 - g1^17*t^6.72*y - 2*g1^3*t^6.83*y - (t^6.94*y)/g1^11 + (t^7.33*y)/g1^6 + 3*g1^13*t^7.61*y + (6*t^7.72*y)/g1 + (3*t^7.83*y)/g1^15 + 2*g1^18*t^8.*y + 5*g1^4*t^8.11*y + (4*t^8.22*y)/g1^10 + g1^23*t^8.39*y + 3*g1^9*t^8.5*y + (2*t^8.61*y)/g1^5 + (t^8.72*y)/g1^19 - g1^14*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 6923 | $M_1q_1q_2$ + $ 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_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_7M_9$ | 0.624 | 0.804 | 0.7761 | [X:[], M:[0.7844, 0.9117, 0.9682, 0.7279, 1.2721, 0.7279, 1.0318, 0.8481, 0.9682], q:[0.7597, 0.4558], qb:[0.2721, 0.8162], phi:[0.424]] | 2*t^2.18 + t^2.35 + 2*t^2.54 + t^2.74 + 2*t^2.9 + t^4.01 + 3*t^4.37 + 2*t^4.54 + t^4.71 + 5*t^4.73 + 2*t^4.9 + 2*t^4.92 + 8*t^5.09 + 2*t^5.26 + 2*t^5.28 + 3*t^5.45 + t^5.47 + t^5.64 + 2*t^5.81 - 3*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3882 | 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_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6087 | 0.7778 | 0.7826 | [X:[], M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | 2*t^2.16 + t^2.47 + t^2.56 + t^2.65 + t^2.95 + t^3.05 + t^3.44 + t^3.93 + 3*t^4.33 + 2*t^4.63 + 3*t^4.72 + 2*t^4.81 + t^4.93 + t^5.02 + 4*t^5.12 + 3*t^5.21 + t^5.3 + t^5.42 + t^5.51 + 3*t^5.6 + t^5.7 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail |