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 |
|---|---|---|---|---|---|---|---|---|---|
| 52586 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ | 0.6521 | 0.8149 | 0.8003 | [X:[], M:[1.1596, 0.764, 0.8404, 0.7821, 1.2269, 0.7148, 0.8404], q:[0.3911, 0.4493], qb:[0.8449, 0.7685], phi:[0.3865]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [3, 3]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_4$, $ M_3$, $ M_7$, $ \phi_1q_1^2$, $ M_5$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_4M_6$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_6M_7$, $ M_4^2$, $ M_2M_3$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_4\phi_1q_1^2$, $ M_2M_5$ | . | -3 | t^2.14 + t^2.29 + t^2.35 + 2*t^2.52 + t^3.51 + 2*t^3.68 + t^3.88 + t^4.29 + t^4.44 + t^4.49 + t^4.58 + t^4.64 + 2*t^4.67 + t^4.69 + 2*t^4.81 + t^4.84 + 2*t^4.87 + 3*t^5.04 + t^5.65 + t^5.83 + t^5.85 + t^5.97 - 3*t^6. + 4*t^6.03 + 3*t^6.2 + t^6.23 + 2*t^6.4 + t^6.43 + t^6.58 + t^6.64 + t^6.73 + t^6.78 + 2*t^6.81 + t^6.84 + t^6.88 + t^6.93 + t^6.96 + t^6.98 + 3*t^7.01 + t^7.04 + 2*t^7.11 - t^7.16 + 4*t^7.19 + 2*t^7.21 + t^7.33 + t^7.36 + 3*t^7.39 - t^7.54 + 5*t^7.56 + t^7.77 + t^7.79 + t^7.97 + t^8. - 3*t^8.14 + 3*t^8.17 + t^8.2 + t^8.26 - 3*t^8.29 - 2*t^8.35 + 4*t^8.37 - 6*t^8.52 + 5*t^8.55 + 2*t^8.58 - t^8.7 + 4*t^8.72 + t^8.73 + 2*t^8.75 + t^8.78 + t^8.87 + 4*t^8.93 + 2*t^8.95 + t^8.98 - t^4.16/y - t^6.3/y - t^6.45/y - t^6.51/y - t^6.68/y + t^7.44/y + t^7.49/y + (2*t^7.64)/y + (2*t^7.67)/y + (3*t^7.81)/y + (3*t^7.87)/y + t^8.02/y + t^8.04/y - t^8.45/y - t^8.6/y - t^8.74/y + t^8.83/y + t^8.97/y - t^4.16*y - t^6.3*y - t^6.45*y - t^6.51*y - t^6.68*y + t^7.44*y + t^7.49*y + 2*t^7.64*y + 2*t^7.67*y + 3*t^7.81*y + 3*t^7.87*y + t^8.02*y + t^8.04*y - t^8.45*y - t^8.6*y - t^8.74*y + t^8.83*y + t^8.97*y | t^2.14/(g1^11*g2^13) + g1^2*g2^4*t^2.29 + t^2.35/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.52 + t^3.51/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.68 + g1^7*g2^7*t^3.88 + t^4.29/(g1^22*g2^26) + t^4.44/(g1^9*g2^9) + t^4.49/(g1^17*g2^21) + g1^4*g2^8*t^4.58 + t^4.64/(g1^4*g2^4) + (2*t^4.67)/(g1^8*g2^10) + t^4.69/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.81 + g1*g2*t^4.84 + (2*t^4.87)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.04 + t^5.65/(g1^18*g2^22) + t^5.83/(g1^9*g2^11) + t^5.85/(g1^13*g2^17) + g1^4*g2^6*t^5.97 - 3*t^6. + (4*t^6.03)/(g1^4*g2^6) + 3*g1^5*g2^5*t^6.2 + (g1*t^6.23)/g2 + 2*g1^10*g2^10*t^6.4 + t^6.43/(g1^33*g2^39) + t^6.58/(g1^20*g2^22) + t^6.64/(g1^28*g2^34) + t^6.73/(g1^7*g2^5) + t^6.78/(g1^15*g2^17) + (2*t^6.81)/(g1^19*g2^23) + t^6.84/(g1^23*g2^29) + g1^6*g2^12*t^6.88 + t^6.93/g1^2 + t^6.96/(g1^6*g2^6) + t^6.98/(g1^10*g2^12) + (3*t^7.01)/(g1^14*g2^18) + t^7.04/(g1^18*g2^24) + 2*g1^7*g2^11*t^7.11 - t^7.16/(g1*g2) + (4*t^7.19)/(g1^5*g2^7) + (2*t^7.21)/(g1^9*g2^13) + g1^8*g2^10*t^7.33 + g1^4*g2^4*t^7.36 + (3*t^7.39)/g2^2 - g1^13*g2^15*t^7.54 + 5*g1^9*g2^9*t^7.56 + g1^14*g2^14*t^7.77 + t^7.79/(g1^29*g2^35) + t^7.97/(g1^20*g2^24) + t^8./(g1^24*g2^30) - (3*t^8.14)/(g1^11*g2^13) + (3*t^8.17)/(g1^15*g2^19) + t^8.2/(g1^19*g2^25) + g1^6*g2^10*t^8.26 - 3*g1^2*g2^4*t^8.29 - (2*t^8.35)/(g1^6*g2^8) + (4*t^8.37)/(g1^10*g2^14) - 6*g1^3*g2^3*t^8.52 + (5*t^8.55)/(g1*g2^3) + t^8.58/(g1^44*g2^52) + t^8.58/(g1^5*g2^9) - g1^12*g2^14*t^8.7 + 4*g1^8*g2^8*t^8.72 + t^8.73/(g1^31*g2^35) + 2*g1^4*g2^2*t^8.75 + t^8.78/(g1^39*g2^47) + t^8.87/(g1^18*g2^18) + t^8.93/(g1^26*g2^30) + 3*g1^13*g2^13*t^8.93 + (2*t^8.95)/(g1^30*g2^36) + t^8.98/(g1^34*g2^42) - t^4.16/(g1*g2*y) - t^6.3/(g1^12*g2^14*y) - (g1*g2^3*t^6.45)/y - t^6.51/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.68)/y + t^7.44/(g1^9*g2^9*y) + t^7.49/(g1^17*g2^21*y) + (2*t^7.64)/(g1^4*g2^4*y) + (2*t^7.67)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.81)/y + (3*t^7.87)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.02)/y + (g1^6*g2^6*t^8.04)/y - t^8.45/(g1^23*g2^27*y) - t^8.6/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.74)/y + t^8.83/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.97)/y - (t^4.16*y)/(g1*g2) - (t^6.3*y)/(g1^12*g2^14) - g1*g2^3*t^6.45*y - (t^6.51*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.68*y + (t^7.44*y)/(g1^9*g2^9) + (t^7.49*y)/(g1^17*g2^21) + (2*t^7.64*y)/(g1^4*g2^4) + (2*t^7.67*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.81*y + (3*t^7.87*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.02*y + g1^6*g2^6*t^8.04*y - (t^8.45*y)/(g1^23*g2^27) - (t^8.6*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.74*y + (t^8.83*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 56413 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ + $ M_2^2$ + $ M_4X_1$ | 0.5971 | 0.7479 | 0.7984 | [X:[1.3528], M:[1.2354, 1.0, 0.7646, 0.6472, 1.1764, 0.7062, 0.7646], q:[0.3236, 0.441], qb:[0.6764, 0.9118], phi:[0.4118]] | t^2.12 + 2*t^2.29 + t^3. + t^3.18 + t^3.35 + 2*t^3.53 + t^4.06 + t^4.24 + 2*t^4.41 + 3*t^4.59 + t^4.76 + t^5.12 + 2*t^5.29 + t^5.3 + 2*t^5.47 + 3*t^5.65 + 3*t^5.82 - 2*t^6. - t^4.24/y - t^4.24*y | detail | |
| 56423 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ + $ M_4\phi_1q_1^2$ | 0.6514 | 0.8126 | 0.8016 | [X:[], M:[1.1596, 0.7394, 0.8404, 0.8067, 1.2269, 0.7394, 0.8404], q:[0.4034, 0.437], qb:[0.8572, 0.7563], phi:[0.3865]] | 2*t^2.22 + t^2.42 + 2*t^2.52 + t^3.58 + 2*t^3.68 + t^3.88 + 3*t^4.44 + 2*t^4.64 + 4*t^4.74 + 2*t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.8 + 2*t^5.9 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 56424 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ + $ M_8q_2\tilde{q}_1$ | 0.6727 | 0.8545 | 0.7872 | [X:[], M:[1.1541, 0.7556, 0.8459, 0.7831, 1.2306, 0.7066, 0.8459, 0.6928], q:[0.3916, 0.4544], qb:[0.8528, 0.7625], phi:[0.3847]] | t^2.08 + t^2.12 + t^2.27 + t^2.35 + 2*t^2.54 + t^3.5 + 2*t^3.69 + t^4.16 + t^4.2 + t^4.24 + t^4.35 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + 3*t^4.62 + 2*t^4.66 + t^4.7 + 2*t^4.8 + t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.58 + t^5.62 + 2*t^5.77 + t^5.81 + t^5.85 + t^5.96 - 3*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47025 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[], M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |