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 |
|---|---|---|---|---|---|---|---|---|---|
| 4257 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_3M_8$ | 0.6779 | 0.8484 | 0.799 | [X:[1.3638], M:[0.9995, 1.1821, 1.0005, 0.6362, 0.8179, 0.7266, 0.8179, 0.9995], q:[0.7727, 0.4094], qb:[0.5911, 0.4085], phi:[0.4546]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [-32], [-14], [-22]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_8$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_6M_7$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_6M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_5M_8$, $ M_7M_8$, $ M_6q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_8\phi_1^2$, $ M_6\phi_1\tilde{q}_2^2$ | $M_1^2$, $ M_1M_8$, $ M_8^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$ | 1 | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.54 + t^3.81 + t^3.82 + t^4.09 + 2*t^4.36 + t^4.37 + 2*t^4.63 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + t^5.72 + 2*t^5.73 + t^5.99 + t^6. + 4*t^6.27 + 6*t^6.54 - t^6.55 + 4*t^6.81 + 2*t^6.82 + 5*t^7.09 + 10*t^7.36 - t^7.37 + 8*t^7.63 + t^7.9 + 6*t^7.91 + t^8.17 + 4*t^8.18 + 5*t^8.45 - 2*t^8.46 + 15*t^8.72 - 7*t^8.73 + 4*t^8.99 - t^4.36/y - t^6.54/y - t^6.82/y - t^7.09/y - t^7.36/y + t^7.37/y + (2*t^7.63)/y + t^7.64/y + (3*t^7.91)/y + (5*t^8.18)/y + (4*t^8.45)/y + (2*t^8.73)/y + t^8.99/y - t^4.36*y - t^6.54*y - t^6.82*y - t^7.09*y - t^7.36*y + t^7.37*y + 2*t^7.63*y + t^7.64*y + 3*t^7.91*y + 5*t^8.18*y + 4*t^8.45*y + 2*t^8.73*y + t^8.99*y | t^2.18/g1^32 + (2*t^2.45)/g1^14 + g1^4*t^2.73 + (2*t^3.)/g1^22 + t^3.54/g1^30 + t^3.81/g1^56 + t^3.82/g1^12 + g1^6*t^4.09 + t^4.36/g1^64 + t^4.36/g1^20 + g1^24*t^4.37 + (2*t^4.63)/g1^46 + (4*t^4.91)/g1^28 + g1^16*t^4.91 + (2*t^5.18)/g1^54 + (2*t^5.18)/g1^10 + (3*t^5.45)/g1^36 + t^5.72/g1^62 + (2*t^5.73)/g1^18 + t^5.99/g1^88 - 3*t^6. + (5*t^6.)/g1^44 - g1^44*t^6. + (2*t^6.27)/g1^70 + (3*t^6.27)/g1^26 - g1^18*t^6.27 + t^6.54/g1^96 + (4*t^6.54)/g1^52 + t^6.54/g1^8 - g1^36*t^6.55 + (4*t^6.81)/g1^78 + (2*t^6.82)/g1^34 + (4*t^7.09)/g1^60 + (2*t^7.09)/g1^16 - g1^28*t^7.09 + (3*t^7.36)/g1^86 + (7*t^7.36)/g1^42 - g1^46*t^7.37 + t^7.63/g1^112 + (4*t^7.63)/g1^68 + (3*t^7.63)/g1^24 + t^7.9/g1^94 + (7*t^7.91)/g1^50 + t^7.91/g1^6 - 2*g1^38*t^7.91 + t^8.17/g1^120 + (6*t^8.18)/g1^76 - 2*g1^12*t^8.18 + (2*t^8.45)/g1^102 + (8*t^8.45)/g1^58 - (5*t^8.45)/g1^14 - 2*g1^30*t^8.46 + t^8.72/g1^128 + (7*t^8.72)/g1^84 + (7*t^8.72)/g1^40 - 6*g1^4*t^8.73 - g1^48*t^8.73 + (4*t^8.99)/g1^110 - (g1^2*t^4.36)/y - t^6.54/(g1^30*y) - t^6.82/(g1^12*y) - (g1^6*t^7.09)/y - t^7.36/(g1^20*y) + (g1^24*t^7.37)/y + (2*t^7.63)/(g1^46*y) + t^7.64/(g1^2*y) + (2*t^7.91)/(g1^28*y) + (g1^16*t^7.91)/y + (2*t^8.18)/(g1^54*y) + (2*t^8.18)/(g1^10*y) + (g1^34*t^8.18)/y + (4*t^8.45)/(g1^36*y) + (2*t^8.73)/(g1^18*y) + t^8.99/(g1^88*y) - g1^2*t^4.36*y - (t^6.54*y)/g1^30 - (t^6.82*y)/g1^12 - g1^6*t^7.09*y - (t^7.36*y)/g1^20 + g1^24*t^7.37*y + (2*t^7.63*y)/g1^46 + (t^7.64*y)/g1^2 + (2*t^7.91*y)/g1^28 + g1^16*t^7.91*y + (2*t^8.18*y)/g1^54 + (2*t^8.18*y)/g1^10 + g1^34*t^8.18*y + (4*t^8.45*y)/g1^36 + (2*t^8.73*y)/g1^18 + (t^8.99*y)/g1^88 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5738 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.6981 | 0.885 | 0.7888 | [X:[1.3612], M:[1.0088, 1.1762, 0.9912, 0.6388, 0.8238, 0.74, 0.8238, 1.0088, 0.705], q:[0.7731, 0.4031], qb:[0.5881, 0.4206], phi:[0.4537]] | t^2.11 + t^2.22 + 2*t^2.47 + t^2.72 + 2*t^3.03 + t^3.58 + t^3.83 + t^4.08 + t^4.23 + 2*t^4.33 + t^4.39 + t^4.44 + 2*t^4.59 + 2*t^4.69 + t^4.84 + t^4.89 + 4*t^4.94 + 2*t^5.14 + 2*t^5.19 + 2*t^5.25 + 3*t^5.5 + t^5.7 + 2*t^5.75 + t^5.8 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2255 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ | 0.6786 | 0.8465 | 0.8017 | [X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]] | t^2.25 + 2*t^2.49 + t^2.72 + t^2.95 + t^3.05 + t^3.61 + t^3.84 + t^3.94 + t^4.08 + t^4.31 + t^4.41 + t^4.51 + 2*t^4.74 + t^4.87 + 4*t^4.97 + 3*t^5.2 + t^5.3 + 2*t^5.44 + t^5.53 + t^5.67 + t^5.77 + t^5.87 - 2*t^6. - t^4.36/y - t^4.36*y | detail |