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 |
|---|---|---|---|---|---|---|---|---|---|
| 54638 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ | 0.682 | 0.8512 | 0.8012 | [X:[], M:[1.158, 1.0374, 0.842, 0.7672, 0.9626, 0.7816], q:[0.3836, 0.4583], qb:[0.579, 0.7744], phi:[0.4511]] | [X:[], M:[[-14], [22], [14], [-30], [-22], [32]], q:[[-15], [29]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_3M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_3^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_5^2$, $ M_1M_6$, $ M_2\phi_1^2$ | . | -1 | t^2.3 + t^2.34 + t^2.53 + t^2.71 + t^2.89 + t^3.11 + t^3.47 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.47 + t^4.6 + t^4.65 + t^4.69 + 2*t^4.83 + t^4.87 + t^5.01 + 2*t^5.05 + t^5.19 + 2*t^5.23 + 2*t^5.41 + t^5.46 + t^5.59 + t^5.78 + 2*t^5.82 - t^6. + t^6.18 + t^6.22 + t^6.36 + 2*t^6.41 + t^6.45 + t^6.54 + t^6.59 + t^6.63 + t^6.77 + 2*t^6.81 + t^6.91 + 2*t^6.95 + 2*t^6.99 + t^7.03 + 2*t^7.13 + 2*t^7.17 + 2*t^7.22 + t^7.31 + 2*t^7.35 + t^7.4 + t^7.49 + 3*t^7.53 + 3*t^7.58 + 2*t^7.72 + 2*t^7.76 + t^7.8 + t^7.9 + 2*t^7.94 + t^7.98 + t^8.08 + 2*t^8.12 + 2*t^8.16 + t^8.21 - t^8.34 + t^8.48 + 2*t^8.57 + t^8.66 + t^8.75 + t^8.79 + t^8.84 - t^8.89 + 3*t^8.93 + t^8.97 - t^4.35/y - t^6.66/y - t^6.7/y - t^7.06/y + (2*t^7.65)/y + t^7.83/y + t^7.87/y + (2*t^8.01)/y + (2*t^8.05)/y + t^8.19/y + (2*t^8.23)/y + (2*t^8.41)/y + t^8.46/y + t^8.59/y + t^8.64/y + t^8.78/y + (2*t^8.82)/y - t^8.96/y - t^4.35*y - t^6.66*y - t^6.7*y - t^7.06*y + 2*t^7.65*y + t^7.83*y + t^7.87*y + 2*t^8.01*y + 2*t^8.05*y + t^8.19*y + 2*t^8.23*y + 2*t^8.41*y + t^8.46*y + t^8.59*y + t^8.64*y + t^8.78*y + 2*t^8.82*y - t^8.96*y | t^2.3/g1^30 + g1^32*t^2.34 + g1^14*t^2.53 + t^2.71/g1^4 + t^2.89/g1^22 + g1^22*t^3.11 + t^3.47/g1^14 + g1^12*t^3.88 + t^4.06/g1^6 + g1^56*t^4.1 + t^4.24/g1^24 + g1^20*t^4.47 + t^4.6/g1^60 + g1^2*t^4.65 + g1^64*t^4.69 + (2*t^4.83)/g1^16 + g1^46*t^4.87 + t^5.01/g1^34 + 2*g1^28*t^5.05 + t^5.19/g1^52 + 2*g1^10*t^5.23 + (2*t^5.41)/g1^8 + g1^54*t^5.46 + t^5.59/g1^26 + t^5.78/g1^44 + 2*g1^18*t^5.82 - t^6. + t^6.18/g1^18 + g1^44*t^6.22 + t^6.36/g1^36 + 2*g1^26*t^6.41 + g1^88*t^6.45 + t^6.54/g1^54 + g1^8*t^6.59 + g1^70*t^6.63 + t^6.77/g1^10 + 2*g1^52*t^6.81 + t^6.91/g1^90 + (2*t^6.95)/g1^28 + 2*g1^34*t^6.99 + g1^96*t^7.03 + (2*t^7.13)/g1^46 + 2*g1^16*t^7.17 + 2*g1^78*t^7.22 + t^7.31/g1^64 + (2*t^7.35)/g1^2 + g1^60*t^7.4 + t^7.49/g1^82 + (3*t^7.53)/g1^20 + 3*g1^42*t^7.58 + (2*t^7.72)/g1^38 + 2*g1^24*t^7.76 + g1^86*t^7.8 + t^7.9/g1^56 + 2*g1^6*t^7.94 + g1^68*t^7.98 + t^8.08/g1^74 + (2*t^8.12)/g1^12 + 2*g1^50*t^8.16 + g1^112*t^8.21 - g1^32*t^8.34 + t^8.48/g1^48 + 2*g1^76*t^8.57 + t^8.66/g1^66 + g1^58*t^8.75 + g1^120*t^8.79 + t^8.84/g1^84 - t^8.89/g1^22 + 3*g1^40*t^8.93 + g1^102*t^8.97 - t^4.35/(g1^2*y) - t^6.66/(g1^32*y) - (g1^30*t^6.7)/y - t^7.06/(g1^6*y) + (2*g1^2*t^7.65)/y + t^7.83/(g1^16*y) + (g1^46*t^7.87)/y + (2*t^8.01)/(g1^34*y) + (2*g1^28*t^8.05)/y + t^8.19/(g1^52*y) + (2*g1^10*t^8.23)/y + (2*t^8.41)/(g1^8*y) + (g1^54*t^8.46)/y + t^8.59/(g1^26*y) + (g1^36*t^8.64)/y + t^8.78/(g1^44*y) + (2*g1^18*t^8.82)/y - t^8.96/(g1^62*y) - (t^4.35*y)/g1^2 - (t^6.66*y)/g1^32 - g1^30*t^6.7*y - (t^7.06*y)/g1^6 + 2*g1^2*t^7.65*y + (t^7.83*y)/g1^16 + g1^46*t^7.87*y + (2*t^8.01*y)/g1^34 + 2*g1^28*t^8.05*y + (t^8.19*y)/g1^52 + 2*g1^10*t^8.23*y + (2*t^8.41*y)/g1^8 + g1^54*t^8.46*y + (t^8.59*y)/g1^26 + g1^36*t^8.64*y + (t^8.78*y)/g1^44 + 2*g1^18*t^8.82*y - (t^8.96*y)/g1^62 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56591 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ + $ M_1M_7$ | 0.6959 | 0.8755 | 0.7948 | [X:[], M:[1.163, 1.0296, 0.837, 0.7778, 0.9704, 0.7703, 0.837], q:[0.3889, 0.4481], qb:[0.5815, 0.7741], phi:[0.4519]] | t^2.31 + t^2.33 + 2*t^2.51 + t^2.71 + t^2.91 + t^3.09 + t^3.87 + t^4.04 + t^4.07 + t^4.27 + t^4.44 + t^4.62 + t^4.64 + t^4.67 + 2*t^4.82 + 3*t^4.84 + 4*t^5.02 + t^5.04 + 3*t^5.22 + t^5.24 + t^5.4 + 3*t^5.42 + t^5.6 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 56589 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ + $ M_3M_6$ + $ M_4X_1$ | 0.5808 | 0.714 | 0.8135 | [X:[1.4783], M:[1.0435, 1.2174, 0.9565, 0.5217, 0.7826, 1.0435], q:[0.2609, 0.6957], qb:[0.5217, 0.7826], phi:[0.4348]] | t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + t^5.22 + 3*t^5.48 + 2*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 113073/194672, c: 69497/97336, X1: 34/23, M1: 24/23, M2: 28/23, M3: 22/23, M4: 12/23, M5: 18/23, M6: 24/23, q1: 6/23, q2: 16/23, qb1: 12/23, qb2: 18/23, phi1: 10/23} |
| 56590 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1^2$ | 0.6731 | 0.8363 | 0.8049 | [X:[], M:[1.1597, 1.0347, 0.8403, 0.7709, 0.9653, 0.7777, 1.0972], q:[0.3854, 0.4548], qb:[0.5799, 0.7743], phi:[0.4514]] | t^2.31 + t^2.33 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.87 + t^4.06 + t^4.08 + t^4.25 + t^4.46 + t^4.63 + t^4.65 + t^4.67 + 2*t^4.83 + t^4.85 + t^5.04 + t^5.21 + t^5.23 + t^5.42 + t^5.44 + t^5.6 + t^5.62 + t^5.79 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46843 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ | 0.6651 | 0.8215 | 0.8096 | [X:[], M:[1.1482, 1.0528, 0.8518, 0.7461, 0.9472], q:[0.3731, 0.4788], qb:[0.5741, 0.7751], phi:[0.4497]] | t^2.24 + t^2.56 + t^2.7 + t^2.84 + t^3.16 + t^3.44 + t^3.59 + t^3.9 + t^4.05 + t^4.19 + t^4.22 + t^4.48 + t^4.51 + 2*t^4.79 + t^4.94 + t^5.08 + t^5.11 + t^5.25 + 2*t^5.4 + t^5.54 + t^5.68 + t^5.83 + t^5.86 - t^6. - t^4.35/y - t^4.35*y | detail |