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 |
|---|---|---|---|---|---|---|---|---|---|
| 4421 | 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$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6634 | 0.8387 | 0.791 | [X:[], M:[0.737, 1.034, 1.195, 1.127, 0.805, 0.873, 1.059, 0.78], q:[0.5045, 0.7585], qb:[0.3685, 0.4365], phi:[0.483]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-38], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_8$, $ M_5$, $ M_6$, $ M_2$, $ M_7$, $ 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$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_8$, $ M_1M_5$, $ M_8^2$, $ M_5M_8$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_8$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_1M_7$, $ M_2M_8$, $ M_2M_5$, $ M_7M_8$, $ M_1M_4$, $ M_5M_7$, $ M_2M_6$, $ M_4M_8$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_3M_8$ | . | -1 | t^2.21 + t^2.34 + t^2.41 + t^2.62 + t^3.1 + t^3.18 + t^3.38 + t^3.59 + t^3.86 + 2*t^4.07 + t^4.27 + t^4.42 + t^4.48 + t^4.55 + t^4.63 + t^4.68 + t^4.76 + 2*t^4.83 + t^4.96 + t^5.03 + t^5.24 + t^5.31 + t^5.39 + t^5.44 + 2*t^5.52 + t^5.59 + 2*t^5.72 + t^5.8 + t^5.93 - t^6. + t^6.07 + 3*t^6.28 + t^6.35 + t^6.41 + 3*t^6.48 + t^6.56 + t^6.61 + t^6.63 + 3*t^6.69 + t^6.76 + t^6.82 + t^6.84 + 2*t^6.89 + t^6.97 + t^7.02 + 2*t^7.04 + 2*t^7.1 + 2*t^7.17 + 2*t^7.24 + t^7.3 + t^7.37 + 2*t^7.45 + t^7.52 + t^7.58 + t^7.6 + 2*t^7.65 + 2*t^7.73 + t^7.78 + t^7.8 + 2*t^7.86 + 3*t^7.93 + t^8.01 + 2*t^8.06 + 3*t^8.14 - 2*t^8.21 + t^8.27 + t^8.29 + t^8.34 - 2*t^8.41 + 3*t^8.49 + 2*t^8.54 + t^8.56 - t^8.62 + 4*t^8.69 + 2*t^8.75 + t^8.77 + t^8.82 + t^8.84 + 4*t^8.9 + 2*t^8.95 + t^8.97 - t^4.45/y - t^6.66/y - t^6.79/y + t^7.27/y + t^7.55/y + t^7.76/y + t^7.83/y + t^7.96/y + t^8.03/y + t^8.11/y + t^8.24/y + t^8.31/y + t^8.39/y + t^8.44/y + (2*t^8.52)/y + (2*t^8.59)/y + (2*t^8.72)/y + (3*t^8.8)/y - t^8.87/y + t^8.93/y - t^4.45*y - t^6.66*y - t^6.79*y + t^7.27*y + t^7.55*y + t^7.76*y + t^7.83*y + t^7.96*y + t^8.03*y + t^8.11*y + t^8.24*y + t^8.31*y + t^8.39*y + t^8.44*y + 2*t^8.52*y + 2*t^8.59*y + 2*t^8.72*y + 3*t^8.8*y - t^8.87*y + t^8.93*y | t^2.21/g1^34 + g1^40*t^2.34 + t^2.41/g1^10 + g1^14*t^2.62 + g1^12*t^3.1 + t^3.18/g1^38 + t^3.38/g1^14 + g1^10*t^3.59 + t^3.86/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.27 + t^4.42/g1^68 + g1^56*t^4.48 + g1^6*t^4.55 + t^4.63/g1^44 + g1^80*t^4.68 + g1^30*t^4.76 + (2*t^4.83)/g1^20 + g1^54*t^4.96 + g1^4*t^5.03 + g1^28*t^5.24 + t^5.31/g1^22 + t^5.39/g1^72 + g1^52*t^5.44 + 2*g1^2*t^5.52 + t^5.59/g1^48 + 2*g1^26*t^5.72 + t^5.8/g1^24 + g1^50*t^5.93 - t^6. + t^6.07/g1^50 + (3*t^6.28)/g1^26 + t^6.35/g1^76 + g1^48*t^6.41 + (3*t^6.48)/g1^2 + t^6.56/g1^52 + g1^72*t^6.61 + t^6.63/g1^102 + 3*g1^22*t^6.69 + t^6.76/g1^28 + g1^96*t^6.82 + t^6.84/g1^78 + 2*g1^46*t^6.89 + t^6.97/g1^4 + g1^120*t^7.02 + (2*t^7.04)/g1^54 + 2*g1^70*t^7.1 + 2*g1^20*t^7.17 + (2*t^7.24)/g1^30 + g1^94*t^7.3 + g1^44*t^7.37 + (2*t^7.45)/g1^6 + t^7.52/g1^56 + g1^68*t^7.58 + t^7.6/g1^106 + 2*g1^18*t^7.65 + (2*t^7.73)/g1^32 + g1^92*t^7.78 + t^7.8/g1^82 + 2*g1^42*t^7.86 + (3*t^7.93)/g1^8 + t^8.01/g1^58 + 2*g1^66*t^8.06 + 3*g1^16*t^8.14 - (2*t^8.21)/g1^34 + g1^90*t^8.27 + t^8.29/g1^84 + g1^40*t^8.34 - (2*t^8.41)/g1^10 + (3*t^8.49)/g1^60 + 2*g1^64*t^8.54 + t^8.56/g1^110 - g1^14*t^8.62 + (4*t^8.69)/g1^36 + 2*g1^88*t^8.75 + t^8.77/g1^86 + g1^38*t^8.82 + t^8.84/g1^136 + (4*t^8.9)/g1^12 + 2*g1^112*t^8.95 + t^8.97/g1^62 - t^4.45/(g1^6*y) - t^6.66/(g1^40*y) - (g1^34*t^6.79)/y + (g1^32*t^7.27)/y + (g1^6*t^7.55)/y + (g1^30*t^7.76)/y + t^7.83/(g1^20*y) + (g1^54*t^7.96)/y + (g1^4*t^8.03)/y + t^8.11/(g1^46*y) + (g1^28*t^8.24)/y + t^8.31/(g1^22*y) + t^8.39/(g1^72*y) + (g1^52*t^8.44)/y + (2*g1^2*t^8.52)/y + (2*t^8.59)/(g1^48*y) + (2*g1^26*t^8.72)/y + (3*t^8.8)/(g1^24*y) - t^8.87/(g1^74*y) + (g1^50*t^8.93)/y - (t^4.45*y)/g1^6 - (t^6.66*y)/g1^40 - g1^34*t^6.79*y + g1^32*t^7.27*y + g1^6*t^7.55*y + g1^30*t^7.76*y + (t^7.83*y)/g1^20 + g1^54*t^7.96*y + g1^4*t^8.03*y + (t^8.11*y)/g1^46 + g1^28*t^8.24*y + (t^8.31*y)/g1^22 + (t^8.39*y)/g1^72 + g1^52*t^8.44*y + 2*g1^2*t^8.52*y + (2*t^8.59*y)/g1^48 + 2*g1^26*t^8.72*y + (3*t^8.8*y)/g1^24 - (t^8.87*y)/g1^74 + g1^50*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 5927 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_1X_1$ | 0.5816 | 0.7229 | 0.8047 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 1.037], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.89 + 2*t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 2*t^4.89 + t^5.11 + t^5.33 + 4*t^5.56 + 2*t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 20353/34992, c: 12647/17496, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 28/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
| 5924 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_1X_1$ | 0.5969 | 0.7406 | 0.8059 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 0.85, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | t^2.25 + t^2.55 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + 2*t^5.1 + t^5.25 + t^5.4 + 2*t^5.55 + 2*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 38199/64000, c: 47399/64000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 17/20, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | 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$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6466 | 0.8096 | 0.7987 | [X:[], M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.13 + t^2.39 + t^2.65 + t^3.09 + t^3.13 + t^3.35 + t^3.57 + t^3.61 + t^3.83 + 2*t^4.09 + t^4.27 + t^4.34 + t^4.53 + t^4.6 + 2*t^4.78 + t^5.04 + t^5.22 + t^5.26 + t^5.3 + t^5.48 + t^5.52 + t^5.7 + t^5.74 + t^5.78 + 2*t^5.96 - t^6. - t^4.44/y - t^4.44*y | detail |