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 |
|---|---|---|---|---|---|---|---|---|---|
| 5013 | 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7103 | 0.9167 | 0.7748 | [X:[], M:[0.8312, 1.0563, 1.1688, 0.7187, 0.8312, 1.0563, 0.7187, 0.675], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [4], [-20], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_7$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_8^2$, $ M_4M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ M_8q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_8$, $ M_6M_8$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_2M_7$, $ M_6M_7$, $ q_1^2\tilde{q}_2^2$, $ M_8q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | . | -3 | t^2.03 + 2*t^2.16 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.91 + t^4.05 + 3*t^4.18 + t^4.25 + 3*t^4.31 + 3*t^4.52 + 4*t^4.65 + t^4.79 + 2*t^4.92 + 3*t^4.99 + 2*t^5.19 + 2*t^5.26 + 4*t^5.32 + t^5.53 + t^5.6 + 3*t^5.66 + t^5.73 + 2*t^5.93 - 3*t^6. + 3*t^6.07 + t^6.08 + 3*t^6.21 + 6*t^6.34 + 3*t^6.4 + 4*t^6.47 + 3*t^6.54 + 7*t^6.68 + 2*t^6.74 + 6*t^6.81 + t^6.82 + 3*t^6.95 + 3*t^7.01 + 2*t^7.08 + 5*t^7.14 + 2*t^7.22 + 3*t^7.28 + 4*t^7.35 + 2*t^7.42 + 9*t^7.48 + t^7.56 + t^7.62 + 4*t^7.69 + 2*t^7.75 + 6*t^7.82 + t^7.88 + 2*t^7.96 - 2*t^8.03 + 4*t^8.09 + t^8.1 - 3*t^8.16 + 3*t^8.22 + 3*t^8.23 + t^8.3 + 6*t^8.36 + 2*t^8.43 + 2*t^8.49 + 6*t^8.56 + 3*t^8.57 + 5*t^8.62 + 9*t^8.7 - 2*t^8.77 + 10*t^8.83 + t^8.84 + 4*t^8.9 + 8*t^8.96 + 3*t^8.97 - t^4.42/y - t^6.44/y - (2*t^6.57)/y - t^6.91/y + (2*t^7.18)/y + t^7.25/y + t^7.31/y + (2*t^7.52)/y - t^7.58/y + (4*t^7.65)/y + t^7.79/y + (3*t^7.92)/y + t^7.99/y + (2*t^8.19)/y + (4*t^8.26)/y + (4*t^8.32)/y + t^8.39/y - t^8.47/y - t^8.6/y + (4*t^8.66)/y - t^8.73/y + (2*t^8.93)/y - t^4.42*y - t^6.44*y - 2*t^6.57*y - t^6.91*y + 2*t^7.18*y + t^7.25*y + t^7.31*y + 2*t^7.52*y - t^7.58*y + 4*t^7.65*y + t^7.79*y + 3*t^7.92*y + t^7.99*y + 2*t^8.19*y + 4*t^8.26*y + 4*t^8.32*y + t^8.39*y - t^8.47*y - t^8.6*y + 4*t^8.66*y - t^8.73*y + 2*t^8.93*y | g1^48*t^2.03 + (2*t^2.16)/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.77 + 2*g1^4*t^3.17 + t^3.57/g1^22 + t^3.91/g1^14 + g1^96*t^4.05 + 3*g1^28*t^4.18 + t^4.25/g1^6 + (3*t^4.31)/g1^40 + 3*g1^36*t^4.52 + (4*t^4.65)/g1^32 + g1^78*t^4.79 + 2*g1^10*t^4.92 + (3*t^4.99)/g1^24 + 2*g1^52*t^5.19 + 2*g1^18*t^5.26 + (4*t^5.32)/g1^16 + g1^60*t^5.53 + g1^26*t^5.6 + (3*t^5.66)/g1^8 + t^5.73/g1^42 + 2*g1^34*t^5.93 - 3*t^6. + (3*t^6.07)/g1^34 + g1^144*t^6.08 + 3*g1^76*t^6.21 + 6*g1^8*t^6.34 + (3*t^6.4)/g1^26 + (4*t^6.47)/g1^60 + 3*g1^84*t^6.54 + 7*g1^16*t^6.68 + (2*t^6.74)/g1^18 + (6*t^6.81)/g1^52 + g1^126*t^6.82 + 3*g1^58*t^6.95 + 3*g1^24*t^7.01 + (2*t^7.08)/g1^10 + (5*t^7.14)/g1^44 + 2*g1^100*t^7.22 + 3*g1^66*t^7.28 + 4*g1^32*t^7.35 + (2*t^7.42)/g1^2 + (9*t^7.48)/g1^36 + g1^108*t^7.56 + g1^74*t^7.62 + 4*g1^40*t^7.69 + 2*g1^6*t^7.75 + (6*t^7.82)/g1^28 + t^7.88/g1^62 + 2*g1^82*t^7.96 - 2*g1^48*t^8.03 + 4*g1^14*t^8.09 + g1^192*t^8.1 - (3*t^8.16)/g1^20 + (3*t^8.22)/g1^54 + 3*g1^124*t^8.23 + g1^90*t^8.3 + 6*g1^56*t^8.36 + 2*g1^22*t^8.43 + (2*t^8.49)/g1^12 + (6*t^8.56)/g1^46 + 3*g1^132*t^8.57 + (5*t^8.62)/g1^80 + 9*g1^64*t^8.7 - 2*g1^30*t^8.77 + (10*t^8.83)/g1^4 + g1^174*t^8.84 + (4*t^8.9)/g1^38 + (8*t^8.96)/g1^72 + 3*g1^106*t^8.97 - t^4.42/(g1^2*y) - (g1^46*t^6.44)/y - (2*t^6.57)/(g1^22*y) - t^6.91/(g1^14*y) + (2*g1^28*t^7.18)/y + t^7.25/(g1^6*y) + t^7.31/(g1^40*y) + (2*g1^36*t^7.52)/y - (g1^2*t^7.58)/y + (4*t^7.65)/(g1^32*y) + (g1^78*t^7.79)/y + (3*g1^10*t^7.92)/y + t^7.99/(g1^24*y) + (2*g1^52*t^8.19)/y + (4*g1^18*t^8.26)/y + (4*t^8.32)/(g1^16*y) + t^8.39/(g1^50*y) - (g1^94*t^8.47)/y - (g1^26*t^8.6)/y + (4*t^8.66)/(g1^8*y) - t^8.73/(g1^42*y) + (2*g1^34*t^8.93)/y - (t^4.42*y)/g1^2 - g1^46*t^6.44*y - (2*t^6.57*y)/g1^22 - (t^6.91*y)/g1^14 + 2*g1^28*t^7.18*y + (t^7.25*y)/g1^6 + (t^7.31*y)/g1^40 + 2*g1^36*t^7.52*y - g1^2*t^7.58*y + (4*t^7.65*y)/g1^32 + g1^78*t^7.79*y + 3*g1^10*t^7.92*y + (t^7.99*y)/g1^24 + 2*g1^52*t^8.19*y + 4*g1^18*t^8.26*y + (4*t^8.32*y)/g1^16 + (t^8.39*y)/g1^50 - g1^94*t^8.47*y - g1^26*t^8.6*y + (4*t^8.66*y)/g1^8 - (t^8.73*y)/g1^42 + 2*g1^34*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 |
|---|---|---|---|---|---|---|---|---|
| 6584 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.7309 | 0.9564 | 0.7642 | [X:[], M:[0.832, 1.056, 1.168, 0.72, 0.832, 1.056, 0.72, 0.672, 0.696], q:[0.404, 0.764], qb:[0.428, 0.516], phi:[0.472]] | t^2.02 + t^2.09 + 2*t^2.16 + 2*t^2.5 + t^2.76 + 2*t^3.17 + t^3.58 + t^4.03 + t^4.1 + 4*t^4.18 + 3*t^4.25 + 3*t^4.32 + 3*t^4.51 + 2*t^4.58 + 4*t^4.66 + t^4.78 + t^4.85 + 2*t^4.92 + 3*t^4.99 + 2*t^5.18 + 4*t^5.26 + 4*t^5.33 + t^5.52 + t^5.59 + 4*t^5.66 + t^5.74 + t^5.93 - 3*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3132 | 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$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6895 | 0.8758 | 0.7872 | [X:[], M:[0.8301, 1.0566, 1.1699, 0.7168, 0.8301, 1.0566, 0.7168], q:[0.4058, 0.7642], qb:[0.4243, 0.519], phi:[0.4717]] | 2*t^2.15 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.91 + t^3.96 + t^4.19 + t^4.25 + 3*t^4.3 + t^4.53 + 4*t^4.64 + 2*t^4.92 + 3*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 3*t^5.66 + t^5.72 + t^5.94 - 3*t^6. - t^4.42/y - t^4.42*y | detail |