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 |
|---|---|---|---|---|---|---|---|---|---|
| 1901 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.6808 | 0.8454 | 0.8054 | [X:[], M:[0.6946, 1.1018, 0.98, 0.7345, 1.1018], q:[0.7755, 0.53], qb:[0.49, 0.4082], phi:[0.4491]] | [X:[], M:[[36], [-12], [22], [-8], [-12]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_1M_5$, $ M_2M_4$, $ M_4M_5$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_3^2$ | . | -2 | t^2.08 + t^2.2 + t^2.81 + t^2.94 + 2*t^3.31 + t^3.55 + t^3.8 + t^4.04 + t^4.16 + t^4.17 + 2*t^4.29 + 2*t^4.41 + t^4.53 + t^4.9 + 2*t^5.02 + t^5.14 + 2*t^5.39 + 2*t^5.51 + t^5.63 + t^5.75 + t^5.88 - 2*t^6. + t^6.12 + t^6.13 + 3*t^6.25 + 3*t^6.37 + 3*t^6.49 + 5*t^6.61 + t^6.73 + t^6.86 + 2*t^6.98 + 2*t^7.1 + t^7.11 + t^7.22 + t^7.23 + t^7.34 + 2*t^7.35 + 3*t^7.47 + 3*t^7.59 + 3*t^7.71 + 2*t^7.83 + t^7.84 + 2*t^7.96 - t^8.08 - 2*t^8.2 + t^8.21 + t^8.32 + 3*t^8.33 + t^8.34 + t^8.44 + 3*t^8.45 + 4*t^8.57 + 7*t^8.69 + 3*t^8.81 + t^8.82 + 3*t^8.93 - 3*t^8.94 - t^4.35/y - t^6.43/y - t^6.55/y + t^7.04/y + t^7.41/y - t^7.65/y + t^7.9/y + (2*t^8.02)/y + (2*t^8.14)/y + t^8.26/y + (2*t^8.39)/y + t^8.51/y + t^8.75/y + t^8.88/y - t^4.35*y - t^6.43*y - t^6.55*y + t^7.04*y + t^7.41*y - t^7.65*y + t^7.9*y + 2*t^8.02*y + 2*t^8.14*y + t^8.26*y + 2*t^8.39*y + t^8.51*y + t^8.75*y + t^8.88*y | g1^36*t^2.08 + t^2.2/g1^8 + t^2.81/g1^32 + g1^22*t^2.94 + (2*t^3.31)/g1^12 + t^3.55/g1^2 + g1^8*t^3.8 + g1^18*t^4.04 + t^4.16/g1^26 + g1^72*t^4.17 + 2*g1^28*t^4.29 + (2*t^4.41)/g1^16 + t^4.53/g1^60 + g1^4*t^4.9 + t^5.02/g1^40 + g1^58*t^5.02 + g1^14*t^5.14 + 2*g1^24*t^5.39 + (2*t^5.51)/g1^20 + t^5.63/g1^64 + t^5.75/g1^10 + g1^44*t^5.88 - 2*t^6. + t^6.12/g1^44 + g1^54*t^6.13 + 2*g1^10*t^6.25 + g1^108*t^6.25 + t^6.37/g1^34 + 2*g1^64*t^6.37 + 3*g1^20*t^6.49 + (5*t^6.61)/g1^24 + t^6.73/g1^68 + t^6.86/g1^14 + t^6.98/g1^58 + g1^40*t^6.98 + (2*t^7.1)/g1^4 + g1^94*t^7.11 + t^7.22/g1^48 + g1^50*t^7.23 + t^7.34/g1^92 + 2*g1^6*t^7.35 + t^7.47/g1^38 + 2*g1^60*t^7.47 + 3*g1^16*t^7.59 + (3*t^7.71)/g1^28 + (2*t^7.83)/g1^72 + g1^26*t^7.84 + t^7.96/g1^18 + g1^80*t^7.96 - g1^36*t^8.08 - (2*t^8.2)/g1^8 + g1^90*t^8.21 + t^8.32/g1^52 + 3*g1^46*t^8.33 + g1^144*t^8.34 + t^8.44/g1^96 + g1^2*t^8.45 + 2*g1^100*t^8.45 + t^8.57/g1^42 + 3*g1^56*t^8.57 + t^8.69/g1^86 + 6*g1^12*t^8.69 + (3*t^8.81)/g1^32 + g1^66*t^8.82 + (3*t^8.93)/g1^76 - 3*g1^22*t^8.94 - (g1^6*t^4.35)/y - (g1^42*t^6.43)/y - t^6.55/(g1^2*y) + (g1^18*t^7.04)/y + t^7.41/(g1^16*y) - t^7.65/(g1^6*y) + (g1^4*t^7.9)/y + t^8.02/(g1^40*y) + (g1^58*t^8.02)/y + (2*g1^14*t^8.14)/y + t^8.26/(g1^30*y) + (2*g1^24*t^8.39)/y + (2*t^8.51)/(g1^20*y) - (g1^78*t^8.51)/y + t^8.75/(g1^10*y) + (g1^44*t^8.88)/y - g1^6*t^4.35*y - g1^42*t^6.43*y - (t^6.55*y)/g1^2 + g1^18*t^7.04*y + (t^7.41*y)/g1^16 - (t^7.65*y)/g1^6 + g1^4*t^7.9*y + (t^8.02*y)/g1^40 + g1^58*t^8.02*y + 2*g1^14*t^8.14*y + (t^8.26*y)/g1^30 + 2*g1^24*t^8.39*y + (2*t^8.51*y)/g1^20 - g1^78*t^8.51*y + (t^8.75*y)/g1^10 + g1^44*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2925 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ | 0.6374 | 0.8034 | 0.7934 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.69 + 2*t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + t^4.97 + 2*t^5.17 + 3*t^5.38 + 2*t^5.59 + 4*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 248745/390224, c: 156751/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 2926 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6797 | 0.8443 | 0.8051 | [X:[], M:[0.7219, 1.0927, 0.9967, 0.7285, 1.0927, 1.0033], q:[0.7732, 0.5049], qb:[0.4984, 0.4089], phi:[0.4536]] | t^2.17 + t^2.19 + t^2.74 + t^3.01 + 2*t^3.28 + t^3.55 + t^3.81 + t^4.08 + t^4.1 + t^4.33 + 2*t^4.35 + 2*t^4.37 + t^4.39 + t^4.91 + t^4.93 + t^5.18 + t^5.2 + 2*t^5.44 + 2*t^5.46 + t^5.48 + t^5.75 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 2927 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_6$ | 0.6612 | 0.8092 | 0.8171 | [X:[], M:[0.6909, 1.103, 0.9778, 0.7354, 1.103, 1.2646], q:[0.7758, 0.5333], qb:[0.4889, 0.4081], phi:[0.4485]] | t^2.07 + t^2.82 + t^2.93 + 2*t^3.31 + t^3.55 + 2*t^3.79 + t^4.04 + t^4.15 + t^4.17 + t^4.28 + t^4.41 + t^4.55 + t^4.9 + t^5.01 + 2*t^5.38 + t^5.65 + 2*t^5.87 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 2928 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.7005 | 0.8817 | 0.7945 | [X:[], M:[0.6982, 1.1006, 0.9822, 0.7337, 1.1006, 0.7337], q:[0.7752, 0.5267], qb:[0.4911, 0.4083], phi:[0.4497]] | t^2.09 + 2*t^2.2 + t^2.8 + t^2.95 + 2*t^3.3 + t^3.55 + t^4.05 + t^4.15 + t^4.19 + 3*t^4.3 + 4*t^4.4 + t^4.51 + t^4.9 + 2*t^5.01 + t^5.04 + 2*t^5.15 + 2*t^5.4 + 4*t^5.5 + t^5.61 + 2*t^5.75 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 552 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.6823 | 0.8482 | 0.8043 | [X:[], M:[0.6974, 1.1009, 1.0043, 0.6888, 1.1009], q:[0.7752, 0.5274], qb:[0.4683, 0.4308], phi:[0.4496]] | t^2.07 + t^2.09 + t^2.87 + t^3.01 + 2*t^3.3 + t^3.62 + t^3.73 + t^4.05 + t^4.13 + 2*t^4.16 + t^4.18 + t^4.22 + t^4.34 + t^4.51 + t^4.94 + t^4.97 + t^5.08 + t^5.1 + 2*t^5.37 + 2*t^5.39 + t^5.68 + t^5.75 + t^5.8 - 3*t^6. - t^4.35/y - t^4.35*y | detail |