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 |
|---|---|---|---|---|---|---|---|---|---|
| 6752 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7152 | 0.9253 | 0.7729 | [X:[], M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0481, 0.9397, 0.6987, 0.7231], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [-4], [-20], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 | {a: 4160953/5817744, c: 2691617/2908872, M1: 494/603, M2: 1918/1809, M3: 712/603, M4: 1264/1809, M5: 494/603, M6: 632/603, M7: 1700/1809, M8: 1264/1809, M9: 436/603, q1: 752/1809, q2: 1384/1809, qb1: 730/1809, qb2: 970/1809, phi1: 850/1809} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_9$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_9$, $ M_8M_9$, $ \phi_1q_1\tilde{q}_2$, $ M_9^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_8$, $ M_5M_8$, $ M_1M_9$, $ M_5M_9$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_7$, $ M_7M_8$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7M_9$, $ M_9\phi_1^2$, $ M_4M_6$, $ M_6M_8$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_9$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_9q_2\tilde{q}_1$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | -3 | 2*t^2.1 + t^2.17 + 2*t^2.46 + 2*t^2.82 + t^3.14 + t^3.51 + t^3.87 + 3*t^4.19 + t^4.23 + 3*t^4.27 + t^4.34 + 4*t^4.55 + 3*t^4.63 + 7*t^4.92 + 2*t^4.99 + 2*t^5.24 + 4*t^5.28 + t^5.31 + 3*t^5.6 + 2*t^5.64 + t^5.67 + 5*t^5.96 - 3*t^6. + 5*t^6.29 + 5*t^6.33 + 2*t^6.36 + 3*t^6.43 + t^6.51 + 7*t^6.65 + 2*t^6.69 + 6*t^6.72 + 3*t^6.8 + 12*t^7.01 - t^7.05 + 8*t^7.08 + 2*t^7.16 + 3*t^7.34 + 12*t^7.37 - t^7.41 + 4*t^7.45 + t^7.48 + 5*t^7.7 + 10*t^7.73 + 2*t^7.77 - t^7.81 + t^7.84 + 10*t^8.06 - 3*t^8.1 + 2*t^8.13 - 4*t^8.17 + 7*t^8.38 + 12*t^8.42 - 2*t^8.46 + t^8.49 + 2*t^8.53 + 3*t^8.6 + t^8.68 + 11*t^8.75 + 10*t^8.78 - 2*t^8.82 - t^8.86 + 7*t^8.89 + 3*t^8.97 - t^4.41/y - (2*t^6.51)/y - t^6.58/y - t^6.87/y + t^7.19/y - t^7.23/y + (3*t^7.27)/y + (3*t^7.55)/y + t^7.59/y + (2*t^7.63)/y + (5*t^7.92)/y + t^7.95/y + (2*t^7.99)/y + (3*t^8.24)/y + (4*t^8.28)/y + (3*t^8.31)/y + t^8.6/y + t^8.64/y - t^8.67/y - t^8.75/y + (4*t^8.96)/y - t^4.41*y - 2*t^6.51*y - t^6.58*y - t^6.87*y + t^7.19*y - t^7.23*y + 3*t^7.27*y + 3*t^7.55*y + t^7.59*y + 2*t^7.63*y + 5*t^7.92*y + t^7.95*y + 2*t^7.99*y + 3*t^8.24*y + 4*t^8.28*y + 3*t^8.31*y + t^8.6*y + t^8.64*y - t^8.67*y - t^8.75*y + 4*t^8.96*y | (2*t^2.1)/g1^20 + g1^48*t^2.17 + (2*t^2.46)/g1^12 + (2*t^2.82)/g1^4 + t^3.14/g1^30 + t^3.51/g1^22 + t^3.87/g1^14 + (3*t^4.19)/g1^40 + t^4.23/g1^6 + 3*g1^28*t^4.27 + g1^96*t^4.34 + (4*t^4.55)/g1^32 + 3*g1^36*t^4.63 + (7*t^4.92)/g1^24 + 2*g1^44*t^4.99 + (2*t^5.24)/g1^50 + (4*t^5.28)/g1^16 + g1^18*t^5.31 + (3*t^5.6)/g1^42 + (2*t^5.64)/g1^8 + g1^26*t^5.67 + (5*t^5.96)/g1^34 - 3*t^6. + (5*t^6.29)/g1^60 + (5*t^6.33)/g1^26 + 2*g1^8*t^6.36 + 3*g1^76*t^6.43 + g1^144*t^6.51 + (7*t^6.65)/g1^52 + (2*t^6.69)/g1^18 + 6*g1^16*t^6.72 + 3*g1^84*t^6.8 + (12*t^7.01)/g1^44 - t^7.05/g1^10 + 8*g1^24*t^7.08 + 2*g1^92*t^7.16 + (3*t^7.34)/g1^70 + (12*t^7.37)/g1^36 - t^7.41/g1^2 + 4*g1^32*t^7.45 + g1^66*t^7.48 + (5*t^7.7)/g1^62 + (10*t^7.73)/g1^28 + 2*g1^6*t^7.77 - g1^40*t^7.81 + g1^74*t^7.84 + (10*t^8.06)/g1^54 - (3*t^8.1)/g1^20 + 2*g1^14*t^8.13 - 4*g1^48*t^8.17 + (7*t^8.38)/g1^80 + (12*t^8.42)/g1^46 - (2*t^8.46)/g1^12 + g1^22*t^8.49 + 2*g1^56*t^8.53 + 3*g1^124*t^8.6 + g1^192*t^8.68 + (11*t^8.75)/g1^72 + (10*t^8.78)/g1^38 - (2*t^8.82)/g1^4 - g1^30*t^8.86 + 7*g1^64*t^8.89 + 3*g1^132*t^8.97 - t^4.41/(g1^2*y) - (2*t^6.51)/(g1^22*y) - (g1^46*t^6.58)/y - t^6.87/(g1^14*y) + t^7.19/(g1^40*y) - t^7.23/(g1^6*y) + (3*g1^28*t^7.27)/y + (3*t^7.55)/(g1^32*y) + (g1^2*t^7.59)/y + (2*g1^36*t^7.63)/y + (5*t^7.92)/(g1^24*y) + (g1^10*t^7.95)/y + (2*g1^44*t^7.99)/y + (3*t^8.24)/(g1^50*y) + (4*t^8.28)/(g1^16*y) + (3*g1^18*t^8.31)/y + t^8.6/(g1^42*y) + t^8.64/(g1^8*y) - (g1^26*t^8.67)/y - (g1^94*t^8.75)/y + (4*t^8.96)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.51*y)/g1^22 - g1^46*t^6.58*y - (t^6.87*y)/g1^14 + (t^7.19*y)/g1^40 - (t^7.23*y)/g1^6 + 3*g1^28*t^7.27*y + (3*t^7.55*y)/g1^32 + g1^2*t^7.59*y + 2*g1^36*t^7.63*y + (5*t^7.92*y)/g1^24 + g1^10*t^7.95*y + 2*g1^44*t^7.99*y + (3*t^8.24*y)/g1^50 + (4*t^8.28*y)/g1^16 + 3*g1^18*t^8.31*y + (t^8.6*y)/g1^42 + (t^8.64*y)/g1^8 - g1^26*t^8.67*y - g1^94*t^8.75*y + (4*t^8.96*y)/g1^34 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 5204 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ | 0.6957 | 0.8912 | 0.7806 | [X:[], M:[0.8119, 1.0627, 1.1881, 0.6865, 0.8119, 1.0298, 0.9373, 0.6865], q:[0.4224, 0.7657], qb:[0.3895, 0.5478], phi:[0.4687]] | 2*t^2.06 + 2*t^2.44 + 2*t^2.81 + t^3.09 + t^3.47 + t^3.74 + t^3.84 + 3*t^4.12 + t^4.22 + t^4.32 + 4*t^4.5 + t^4.69 + 7*t^4.87 + 2*t^5.15 + 4*t^5.25 + 3*t^5.53 + 2*t^5.62 + 2*t^5.8 + 5*t^5.9 - 3*t^6. - t^4.41/y - t^4.41*y | detail |