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 |
|---|---|---|---|---|---|---|---|---|---|
| 51842 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6863 | 0.8527 | 0.8049 | [X:[], M:[0.6756, 1.1081, 0.9684, 0.7388, 0.8153, 1.2612], q:[0.777, 0.5474], qb:[0.4842, 0.4077], phi:[0.4459]] | [X:[], M:[[36], [-12], [22], [-8], [2], [8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_5$, $ M_3q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_6$ | . | -2 | t^2.03 + t^2.45 + t^2.68 + t^2.87 + t^2.91 + t^3.32 + 2*t^3.78 + t^4.01 + t^4.05 + t^4.2 + t^4.24 + t^4.43 + t^4.47 + t^4.62 + t^4.7 + 2*t^4.89 + t^4.93 + t^5.12 + t^5.31 + 3*t^5.35 + t^5.54 + t^5.73 + t^5.77 + 2*t^5.81 - 2*t^6. + t^6.04 + t^6.08 + 2*t^6.23 + t^6.27 - t^6.42 + 3*t^6.46 + t^6.5 + 3*t^6.65 + 3*t^6.69 + t^6.73 + t^6.88 + 3*t^6.92 + t^6.96 + 2*t^7.07 + t^7.11 + t^7.15 + t^7.3 + t^7.34 + 3*t^7.38 + t^7.49 + 3*t^7.57 + 4*t^7.8 + 2*t^7.84 + t^7.99 + t^8.03 + t^8.07 + t^8.11 + 2*t^8.22 + 3*t^8.26 + t^8.3 + 2*t^8.41 - 4*t^8.45 + 3*t^8.49 + t^8.53 + t^8.6 + 2*t^8.68 + 4*t^8.72 + t^8.76 + t^8.82 - 3*t^8.87 - t^8.91 + 3*t^8.95 + t^8.99 - t^4.34/y - t^6.36/y - t^6.78/y - t^7.24/y + t^7.43/y + t^7.47/y + t^7.7/y + (2*t^7.89)/y + t^7.93/y + t^8.12/y + (2*t^8.31)/y + (2*t^8.35)/y - t^8.39/y + t^8.54/y + t^8.58/y + (2*t^8.77)/y + t^8.81/y - t^4.34*y - t^6.36*y - t^6.78*y - t^7.24*y + t^7.43*y + t^7.47*y + t^7.7*y + 2*t^7.89*y + t^7.93*y + t^8.12*y + 2*t^8.31*y + 2*t^8.35*y - t^8.39*y + t^8.54*y + t^8.58*y + 2*t^8.77*y + t^8.81*y | g1^36*t^2.03 + g1^2*t^2.45 + g1^12*t^2.68 + t^2.87/g1^32 + g1^22*t^2.91 + t^3.32/g1^12 + 2*g1^8*t^3.78 + g1^18*t^4.01 + g1^72*t^4.05 + t^4.2/g1^26 + g1^28*t^4.24 + t^4.43/g1^16 + g1^38*t^4.47 + t^4.62/g1^60 + g1^48*t^4.7 + 2*g1^4*t^4.89 + g1^58*t^4.93 + g1^14*t^5.12 + t^5.31/g1^30 + 3*g1^24*t^5.35 + t^5.54/g1^20 + t^5.73/g1^64 + t^5.77/g1^10 + 2*g1^44*t^5.81 - 2*t^6. + g1^54*t^6.04 + g1^108*t^6.08 + 2*g1^10*t^6.23 + g1^64*t^6.27 - t^6.42/g1^34 + 3*g1^20*t^6.46 + g1^74*t^6.5 + (3*t^6.65)/g1^24 + 3*g1^30*t^6.69 + g1^84*t^6.73 + t^6.88/g1^14 + 3*g1^40*t^6.92 + g1^94*t^6.96 + (2*t^7.07)/g1^58 + t^7.11/g1^4 + g1^50*t^7.15 + t^7.3/g1^48 + g1^6*t^7.34 + 3*g1^60*t^7.38 + t^7.49/g1^92 + 3*g1^16*t^7.57 + 4*g1^26*t^7.8 + 2*g1^80*t^7.84 + t^7.99/g1^18 + g1^36*t^8.03 + g1^90*t^8.07 + g1^144*t^8.11 + (2*t^8.22)/g1^8 + 3*g1^46*t^8.26 + g1^100*t^8.3 + (2*t^8.41)/g1^52 - 4*g1^2*t^8.45 + 3*g1^56*t^8.49 + g1^110*t^8.53 + t^8.6/g1^96 + 2*g1^12*t^8.68 + 4*g1^66*t^8.72 + g1^120*t^8.76 + t^8.82/g1^86 - (3*t^8.87)/g1^32 - g1^22*t^8.91 + 3*g1^76*t^8.95 + g1^130*t^8.99 - (g1^6*t^4.34)/y - (g1^42*t^6.36)/y - (g1^8*t^6.78)/y - (g1^28*t^7.24)/y + t^7.43/(g1^16*y) + (g1^38*t^7.47)/y + (g1^48*t^7.7)/y + (2*g1^4*t^7.89)/y + (g1^58*t^7.93)/y + (g1^14*t^8.12)/y + (2*t^8.31)/(g1^30*y) + (2*g1^24*t^8.35)/y - (g1^78*t^8.39)/y + t^8.54/(g1^20*y) + (g1^34*t^8.58)/y + (2*t^8.77)/(g1^10*y) + (g1^44*t^8.81)/y - g1^6*t^4.34*y - g1^42*t^6.36*y - g1^8*t^6.78*y - g1^28*t^7.24*y + (t^7.43*y)/g1^16 + g1^38*t^7.47*y + g1^48*t^7.7*y + 2*g1^4*t^7.89*y + g1^58*t^7.93*y + g1^14*t^8.12*y + (2*t^8.31*y)/g1^30 + 2*g1^24*t^8.35*y - g1^78*t^8.39*y + (t^8.54*y)/g1^20 + g1^34*t^8.58*y + (2*t^8.77*y)/g1^10 + g1^44*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 56322 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_3$ | 0.6347 | 0.7942 | 0.7992 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 1.3103], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.72 + 2*t^3.93 + t^4.14 + t^4.34 + t^4.55 + 2*t^4.76 + 2*t^4.97 + 2*t^5.17 + 2*t^5.38 + 2*t^5.59 + 3*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 123837/195112, c: 77477/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 38/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 56324 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ | 0.6655 | 0.8117 | 0.8199 | [X:[], M:[0.6788, 1.1071, 0.9704, 0.738, 0.8155, 1.262, 1.3212], q:[0.7768, 0.5444], qb:[0.4852, 0.4077], phi:[0.4465]] | t^2.45 + t^2.68 + t^2.86 + t^2.91 + t^3.32 + 2*t^3.79 + t^3.96 + t^4.02 + t^4.2 + t^4.25 + t^4.43 + t^4.61 + t^4.89 + t^5.13 + t^5.3 + 2*t^5.36 + t^5.54 + t^5.71 + t^5.77 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 56325 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_2M_7$ + $ M_1X_1$ | 0.6754 | 0.8282 | 0.8156 | [X:[1.3394], M:[0.6606, 1.1131, 0.9593, 0.7421, 0.8145, 1.2579, 0.8869], q:[0.7783, 0.5611], qb:[0.4796, 0.4072], phi:[0.4434]] | t^2.44 + 2*t^2.66 + t^2.88 + t^2.91 + 2*t^3.77 + t^3.99 + t^4.02 + t^4.21 + t^4.24 + t^4.45 + t^4.7 + t^4.89 + 2*t^5.1 + 4*t^5.32 + t^5.35 + t^5.54 + 2*t^5.57 + t^5.81 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56323 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ + $ q_2^2\tilde{q}_2^2$ + $ M_1X_1$ | 0.6633 | 0.8079 | 0.8211 | [X:[1.375], M:[0.625, 1.125, 0.9375, 0.75, 0.8125, 1.25], q:[0.7812, 0.5938], qb:[0.4688, 0.4062], phi:[0.4375]] | t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.38 + 2*t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 86943/131072, c: 105887/131072, X1: 11/8, M1: 5/8, M2: 9/8, M3: 15/16, M4: 3/4, M5: 13/16, M6: 5/4, q1: 25/32, q2: 19/32, qb1: 15/32, qb2: 13/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48154 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7058 | 0.8884 | 0.7944 | [X:[], M:[0.6794, 1.1069, 0.9707, 0.7379, 0.8155], q:[0.7767, 0.5439], qb:[0.4854, 0.4078], phi:[0.4466]] | t^2.04 + t^2.21 + t^2.45 + t^2.68 + t^2.85 + t^2.91 + t^3.32 + t^3.79 + t^4.02 + t^4.08 + t^4.19 + 2*t^4.25 + 2*t^4.43 + t^4.48 + t^4.6 + t^4.66 + t^4.72 + 3*t^4.89 + t^4.95 + t^5.07 + 2*t^5.13 + t^5.3 + 3*t^5.36 + 2*t^5.53 + t^5.71 + t^5.77 + t^5.82 - t^6. - t^4.34/y - t^4.34*y | detail |