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 |
|---|---|---|---|---|---|---|---|---|---|
| 3082 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6706 | 0.8525 | 0.7866 | [X:[], M:[0.7698, 1.0224, 1.1854, 1.1405, 0.8146, 0.8595, 0.7414], q:[0.4746, 0.7556], qb:[0.3849, 0.4298], phi:[0.4888]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_7^2$, $ M_1M_7$, $ M_1^2$, $ M_5M_7$, $ M_1M_5$, $ M_6M_7$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_7$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_5$, $ M_2M_6$, $ M_4M_7$, $ M_3M_7$, $ M_2q_1\tilde{q}_2$ | . | -1 | t^2.22 + t^2.31 + t^2.44 + t^2.58 + t^2.71 + t^3.07 + t^3.42 + t^3.56 + t^3.91 + 2*t^4.04 + t^4.18 + t^4.31 + t^4.45 + t^4.53 + t^4.62 + t^4.67 + t^4.75 + t^4.8 + 2*t^4.89 + t^4.94 + 2*t^5.02 + 2*t^5.16 + 2*t^5.29 + t^5.38 + t^5.43 + t^5.51 + 2*t^5.65 + 2*t^5.78 - t^6. + t^6.13 + t^6.22 + 2*t^6.27 + 2*t^6.35 + t^6.4 + 3*t^6.49 + t^6.54 + 4*t^6.62 + t^6.67 + 4*t^6.76 + 3*t^6.89 + t^6.93 + t^6.98 + 2*t^7.03 + t^7.06 + 2*t^7.11 + t^7.16 + t^7.2 + 2*t^7.25 + t^7.33 + 2*t^7.38 + 2*t^7.47 + 2*t^7.52 + 3*t^7.6 + t^7.65 + t^7.69 + 3*t^7.74 + t^7.82 + 4*t^7.87 + 2*t^7.96 + 3*t^8. + 3*t^8.09 + t^8.14 - t^8.17 + 2*t^8.22 - 3*t^8.31 + 4*t^8.36 - 3*t^8.44 + 4*t^8.49 + t^8.53 - 2*t^8.58 + 2*t^8.63 + 2*t^8.66 + t^8.76 + 2*t^8.8 + 3*t^8.85 + t^8.9 + 3*t^8.93 + 4*t^8.98 - t^4.47/y - t^6.69/y - t^6.78/y + t^7.53/y + t^7.67/y + t^7.75/y + t^7.8/y + t^7.89/y + t^7.94/y + (2*t^8.02)/y + (2*t^8.16)/y + t^8.24/y + (2*t^8.29)/y + t^8.38/y + t^8.51/y + (2*t^8.65)/y + t^8.73/y + (2*t^8.78)/y + (2*t^8.87)/y - t^8.92/y - t^4.47*y - t^6.69*y - t^6.78*y + t^7.53*y + t^7.67*y + t^7.75*y + t^7.8*y + t^7.89*y + t^7.94*y + 2*t^8.02*y + 2*t^8.16*y + t^8.24*y + 2*t^8.29*y + t^8.38*y + t^8.51*y + 2*t^8.65*y + t^8.73*y + 2*t^8.78*y + 2*t^8.87*y - t^8.92*y | g1^40*t^2.22 + t^2.31/g1^34 + t^2.44/g1^10 + g1^14*t^2.58 + g1^38*t^2.71 + g1^12*t^3.07 + t^3.42/g1^14 + g1^10*t^3.56 + t^3.91/g1^16 + 2*g1^8*t^4.04 + g1^32*t^4.18 + g1^56*t^4.31 + g1^80*t^4.45 + g1^6*t^4.53 + t^4.62/g1^68 + g1^30*t^4.67 + t^4.75/g1^44 + g1^54*t^4.8 + (2*t^4.89)/g1^20 + g1^78*t^4.94 + 2*g1^4*t^5.02 + 2*g1^28*t^5.16 + 2*g1^52*t^5.29 + t^5.38/g1^22 + g1^76*t^5.43 + g1^2*t^5.51 + 2*g1^26*t^5.65 + 2*g1^50*t^5.78 - t^6. + g1^24*t^6.13 + t^6.22/g1^50 + 2*g1^48*t^6.27 + (2*t^6.35)/g1^26 + g1^72*t^6.4 + (3*t^6.49)/g1^2 + g1^96*t^6.54 + 4*g1^22*t^6.62 + g1^120*t^6.67 + 4*g1^46*t^6.76 + 3*g1^70*t^6.89 + t^6.93/g1^102 + t^6.98/g1^4 + 2*g1^94*t^7.03 + t^7.06/g1^78 + 2*g1^20*t^7.11 + g1^118*t^7.16 + t^7.2/g1^54 + 2*g1^44*t^7.25 + t^7.33/g1^30 + 2*g1^68*t^7.38 + (2*t^7.47)/g1^6 + 2*g1^92*t^7.52 + 3*g1^18*t^7.6 + g1^116*t^7.65 + t^7.69/g1^56 + 3*g1^42*t^7.74 + t^7.82/g1^32 + 4*g1^66*t^7.87 + (2*t^7.96)/g1^8 + 3*g1^90*t^8. + 3*g1^16*t^8.09 + g1^114*t^8.14 - t^8.17/g1^58 + 2*g1^40*t^8.22 - (3*t^8.31)/g1^34 + 4*g1^64*t^8.36 - (3*t^8.44)/g1^10 + 4*g1^88*t^8.49 + t^8.53/g1^84 - 2*g1^14*t^8.58 + 2*g1^112*t^8.63 + (2*t^8.66)/g1^60 + g1^136*t^8.76 + (2*t^8.8)/g1^36 + 3*g1^62*t^8.85 + g1^160*t^8.9 + (3*t^8.93)/g1^12 + 4*g1^86*t^8.98 - t^4.47/(g1^6*y) - (g1^34*t^6.69)/y - t^6.78/(g1^40*y) + (g1^6*t^7.53)/y + (g1^30*t^7.67)/y + t^7.75/(g1^44*y) + (g1^54*t^7.8)/y + t^7.89/(g1^20*y) + (g1^78*t^7.94)/y + (2*g1^4*t^8.02)/y + (2*g1^28*t^8.16)/y + t^8.24/(g1^46*y) + (2*g1^52*t^8.29)/y + t^8.38/(g1^22*y) + (g1^2*t^8.51)/y + (2*g1^26*t^8.65)/y + t^8.73/(g1^48*y) + (2*g1^50*t^8.78)/y + (2*t^8.87)/(g1^24*y) - (g1^74*t^8.92)/y - (t^4.47*y)/g1^6 - g1^34*t^6.69*y - (t^6.78*y)/g1^40 + g1^6*t^7.53*y + g1^30*t^7.67*y + (t^7.75*y)/g1^44 + g1^54*t^7.8*y + (t^7.89*y)/g1^20 + g1^78*t^7.94*y + 2*g1^4*t^8.02*y + 2*g1^28*t^8.16*y + (t^8.24*y)/g1^46 + 2*g1^52*t^8.29*y + (t^8.38*y)/g1^22 + g1^2*t^8.51*y + 2*g1^26*t^8.65*y + (t^8.73*y)/g1^48 + 2*g1^50*t^8.78*y + (2*t^8.87*y)/g1^24 - g1^74*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 4939 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_1X_1$ | 0.5837 | 0.7181 | 0.8129 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | t^2.25 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^5.1 + t^5.25 + t^5.55 + 2*t^5.7 + t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 149439/256000, c: 183839/256000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
| 4946 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6912 | 0.8923 | 0.7746 | [X:[], M:[0.7721, 1.0216, 1.1847, 1.1414, 0.8153, 0.8586, 0.7387, 0.6955], q:[0.4725, 0.7554], qb:[0.386, 0.4293], phi:[0.4892]] | t^2.09 + t^2.22 + t^2.32 + t^2.45 + t^2.58 + t^2.71 + t^3.06 + t^3.42 + t^3.55 + 2*t^4.04 + 2*t^4.17 + 2*t^4.3 + t^4.4 + t^4.43 + 2*t^4.53 + t^4.63 + 2*t^4.66 + t^4.76 + 2*t^4.79 + 2*t^4.89 + t^4.92 + 2*t^5.02 + 3*t^5.15 + 2*t^5.28 + t^5.38 + t^5.41 + 2*t^5.51 + 3*t^5.64 + 2*t^5.77 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 4942 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6594 | 0.8337 | 0.7909 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.8421], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + t^2.37 + t^2.53 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + t^4.58 + 3*t^4.74 + t^4.89 + 3*t^5.05 + 2*t^5.21 + 2*t^5.37 + 2*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 72363/109744, c: 11437/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 16/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2022 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_2^2$ | 0.6516 | 0.817 | 0.7975 | [X:[], M:[0.7525, 1.0285, 1.1904, 1.1334, 0.8096, 0.8666], q:[0.4904, 0.7571], qb:[0.3762, 0.4333], phi:[0.4857]] | t^2.26 + t^2.43 + t^2.6 + t^2.77 + t^3.09 + t^3.4 + t^3.57 + t^3.71 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.51 + t^4.69 + 2*t^4.86 + 2*t^5.03 + 2*t^5.2 + t^5.34 + t^5.37 + t^5.51 + t^5.54 + t^5.69 + t^5.86 + t^5.97 - t^6. - t^4.46/y - t^4.46*y | detail |