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 |
|---|---|---|---|---|---|---|---|---|---|
| 54353 | 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$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7095 | 0.8737 | 0.8121 | [X:[], M:[1.0598, 0.8819, 0.9402, 1.0292, 0.9708, 1.0292, 0.8513], q:[0.5146, 0.4256], qb:[0.6035, 0.5452], phi:[0.4778]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [8, -8], [-16, -16]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_4M_7$, $ M_6M_7$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ M_1M_7$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$ | . | -3 | t^2.55 + t^2.65 + t^2.82 + t^2.87 + 2*t^3.09 + t^3.18 + t^3.99 + t^4.25 + t^4.35 + 2*t^4.52 + t^4.61 + t^4.7 + t^4.79 + t^4.88 + t^5.05 + t^5.11 + t^5.2 + t^5.29 + t^5.37 + t^5.42 + t^5.51 + 2*t^5.64 + t^5.69 + 2*t^5.73 + t^5.91 + 2*t^5.95 - 3*t^6. + t^6.05 - t^6.09 + 2*t^6.18 - t^6.27 - t^6.53 + t^6.54 + t^6.63 + 2*t^6.81 + t^6.85 + t^6.9 + t^6.99 + 4*t^7.07 + 2*t^7.17 + t^7.21 + t^7.26 + 3*t^7.34 + t^7.35 + t^7.39 + t^7.43 + t^7.53 + t^7.57 + 4*t^7.61 - t^7.65 + t^7.66 + t^7.7 + t^7.75 + t^7.79 - t^7.84 + t^7.85 + 3*t^7.88 + t^7.93 + t^7.94 + 2*t^7.97 - t^8.01 + t^8.07 + 2*t^8.14 + t^8.16 - t^8.19 + 2*t^8.2 + 2*t^8.24 + t^8.29 + t^8.33 + 2*t^8.38 + t^8.46 + 4*t^8.51 - 4*t^8.55 + 3*t^8.6 - 4*t^8.65 + t^8.69 + 2*t^8.73 - t^8.74 + 3*t^8.77 - 3*t^8.82 - t^8.87 - 2*t^8.91 - t^4.43/y - t^6.99/y - t^7.08/y - t^7.3/y + t^7.35/y - t^7.52/y + t^7.57/y + t^7.79/y + t^7.88/y + t^8.2/y + t^8.37/y + t^8.42/y + t^8.47/y + t^8.51/y + (2*t^8.64)/y + t^8.69/y + (3*t^8.73)/y + t^8.82/y + (2*t^8.91)/y + (2*t^8.95)/y - t^4.43*y - t^6.99*y - t^7.08*y - t^7.3*y + t^7.35*y - t^7.52*y + t^7.57*y + t^7.79*y + t^7.88*y + t^8.2*y + t^8.37*y + t^8.42*y + t^8.47*y + t^8.51*y + 2*t^8.64*y + t^8.69*y + 3*t^8.73*y + t^8.82*y + 2*t^8.91*y + 2*t^8.95*y | t^2.55/(g1^16*g2^16) + (g2^4*t^2.65)/g1^20 + t^2.82/(g1^4*g2^12) + t^2.87/(g1^6*g2^2) + (2*g1^8*t^3.09)/g2^8 + g1^4*g2^12*t^3.18 + t^3.99/(g1^19*g2^17) + t^4.25/(g1^7*g2^13) + (g2^7*t^4.35)/g1^11 + (2*g1^5*t^4.52)/g2^9 + g1*g2^11*t^4.61 + (g2^31*t^4.7)/g1^3 + (g1^17*t^4.79)/g2^5 + g1^13*g2^15*t^4.88 + (g1^29*t^5.05)/g2 + t^5.11/(g1^32*g2^32) + t^5.2/(g1^36*g2^12) + (g2^8*t^5.29)/g1^40 + t^5.37/(g1^20*g2^28) + t^5.42/(g1^22*g2^18) + (g2^2*t^5.51)/g1^26 + (2*t^5.64)/(g1^8*g2^24) + t^5.69/(g1^10*g2^14) + (2*t^5.73)/(g1^12*g2^4) + (g1^4*t^5.91)/g2^20 + (2*g1^2*t^5.95)/g2^10 - 3*t^6. + (g2^10*t^6.05)/g1^2 - (g2^20*t^6.09)/g1^4 + (2*g1^16*t^6.18)/g2^16 - g1^12*g2^4*t^6.27 - g1^24*g2^8*t^6.53 + t^6.54/(g1^35*g2^33) + t^6.63/(g1^39*g2^13) + (2*t^6.81)/(g1^23*g2^29) + t^6.85/(g1^25*g2^19) + t^6.9/(g1^27*g2^9) + (g2^11*t^6.99)/g1^31 + (4*t^7.07)/(g1^11*g2^25) + (2*t^7.17)/(g1^15*g2^5) + (g2^5*t^7.21)/g1^17 + (g2^15*t^7.26)/g1^19 + (3*g1*t^7.34)/g2^21 + (g2^35*t^7.35)/g1^23 + t^7.39/(g1*g2^11) + t^7.43/(g1^3*g2) + (g2^19*t^7.53)/g1^7 + (g2^29*t^7.57)/g1^9 + (4*g1^13*t^7.61)/g2^17 - (g1^11*t^7.65)/g2^7 + t^7.66/(g1^48*g2^48) + g1^9*g2^3*t^7.7 + t^7.75/(g1^52*g2^28) + g1^5*g2^23*t^7.79 - g1^3*g2^33*t^7.84 + t^7.85/(g1^56*g2^8) + (2*g1^25*t^7.88)/g2^13 + g1*g2^43*t^7.88 + t^7.93/(g1^36*g2^44) + (g2^12*t^7.94)/g1^60 + (2*t^7.97)/(g1^38*g2^34) - g1^19*g2^17*t^8.01 + t^8.07/(g1^42*g2^14) + (2*g1^37*t^8.14)/g2^9 + (g2^6*t^8.16)/g1^46 - g1^35*g2*t^8.19 + (2*t^8.2)/(g1^24*g2^40) + (2*t^8.24)/(g1^26*g2^30) + t^8.29/(g1^28*g2^20) + t^8.33/(g1^30*g2^10) + (2*t^8.38)/g1^32 + t^8.46/(g1^12*g2^36) + (4*t^8.51)/(g1^14*g2^26) - (4*t^8.55)/(g1^16*g2^16) + (3*t^8.6)/(g1^18*g2^6) - (4*g2^4*t^8.65)/g1^20 + (g2^14*t^8.69)/g1^22 + (2*t^8.73)/g2^32 - (g2^24*t^8.74)/g1^24 + (3*t^8.77)/(g1^2*g2^22) - (3*t^8.82)/(g1^4*g2^12) - t^8.87/(g1^6*g2^2) - (2*g2^8*t^8.91)/g1^8 - t^4.43/(g1^3*g2*y) - t^6.99/(g1^19*g2^17*y) - (g2^3*t^7.08)/(g1^23*y) - t^7.3/(g1^9*g2^3*y) + (g2^7*t^7.35)/(g1^11*y) - (g1^5*t^7.52)/(g2^9*y) + (g1^3*g2*t^7.57)/y + (g1^17*t^7.79)/(g2^5*y) + (g1^13*g2^15*t^7.88)/y + t^8.2/(g1^36*g2^12*y) + t^8.37/(g1^20*g2^28*y) + t^8.42/(g1^22*g2^18*y) + t^8.47/(g1^24*g2^8*y) + (g2^2*t^8.51)/(g1^26*y) + (2*t^8.64)/(g1^8*g2^24*y) + t^8.69/(g1^10*g2^14*y) + (3*t^8.73)/(g1^12*g2^4*y) + (g2^16*t^8.82)/(g1^16*y) + (2*g1^4*t^8.91)/(g2^20*y) + (2*g1^2*t^8.95)/(g2^10*y) - (t^4.43*y)/(g1^3*g2) - (t^6.99*y)/(g1^19*g2^17) - (g2^3*t^7.08*y)/g1^23 - (t^7.3*y)/(g1^9*g2^3) + (g2^7*t^7.35*y)/g1^11 - (g1^5*t^7.52*y)/g2^9 + g1^3*g2*t^7.57*y + (g1^17*t^7.79*y)/g2^5 + g1^13*g2^15*t^7.88*y + (t^8.2*y)/(g1^36*g2^12) + (t^8.37*y)/(g1^20*g2^28) + (t^8.42*y)/(g1^22*g2^18) + (t^8.47*y)/(g1^24*g2^8) + (g2^2*t^8.51*y)/g1^26 + (2*t^8.64*y)/(g1^8*g2^24) + (t^8.69*y)/(g1^10*g2^14) + (3*t^8.73*y)/(g1^12*g2^4) + (g2^16*t^8.82*y)/g1^16 + (2*g1^4*t^8.91*y)/g2^20 + (2*g1^2*t^8.95*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56564 | $M_1q_1q_2$ + $ 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$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6981 | 0.8592 | 0.8125 | [X:[], M:[1.0592, 1.0118, 0.9408, 0.9645, 1.0355, 0.9645, 0.9171], q:[0.4822, 0.4585], qb:[0.5059, 0.577], phi:[0.4941]] | t^2.75 + t^2.82 + 2*t^2.89 + t^2.96 + t^3.04 + t^3.18 + t^4.23 + t^4.3 + 2*t^4.38 + t^4.45 + t^4.52 + t^4.59 + t^4.66 + t^4.73 + t^4.94 + t^5.5 + t^5.57 + 2*t^5.64 + 2*t^5.72 + 4*t^5.79 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56563 | $M_1q_1q_2$ + $ 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$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6922 | 0.8481 | 0.8162 | [X:[], M:[0.9882, 0.9724, 1.0118, 1.0197, 0.9803, 1.0197, 1.0039], q:[0.5099, 0.502], qb:[0.5178, 0.4783], phi:[0.498]] | t^2.92 + t^2.96 + t^2.99 + t^3.01 + t^3.04 + 2*t^3.06 + t^4.36 + t^4.43 + t^4.46 + t^4.48 + t^4.51 + t^4.53 + 2*t^4.55 + t^4.58 + t^4.6 + t^5.83 + t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56565 | $M_1q_1q_2$ + $ 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$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.7304 | 0.9151 | 0.7981 | [X:[], M:[1.0592, 0.8825, 0.9408, 1.0292, 0.9708, 1.0292, 0.8525, 0.6696], q:[0.5146, 0.4262], qb:[0.6029, 0.5446], phi:[0.4779]] | t^2.01 + t^2.56 + t^2.65 + t^2.82 + t^2.87 + 2*t^3.09 + t^3.18 + t^4.02 + t^4.26 + t^4.35 + 2*t^4.52 + t^4.57 + t^4.61 + t^4.66 + t^4.7 + t^4.79 + t^4.83 + 2*t^4.88 + t^5.05 + 2*t^5.1 + t^5.11 + t^5.19 + t^5.2 + t^5.3 + t^5.38 + t^5.42 + t^5.51 + 2*t^5.64 + t^5.69 + 2*t^5.73 + t^5.91 + 2*t^5.95 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47177 | 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$ + $ M_4M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |