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 |
|---|---|---|---|---|---|---|---|---|---|
| 365 | 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$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | [X:[], M:[[-4, 4, 0], [0, -8, -4], [4, -4, 0], [-8, 0, -4], [-4, 4, 0]], q:[[-4, -4, 0], [8, 0, 0]], qb:[[0, 8, 0], [0, 0, 4]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1^2q_2\tilde{q}_1$ | . | -4 | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. + t^6.03 - t^6.15 + t^6.2 + t^6.27 - t^6.35 + t^6.38 - t^6.42 + t^6.53 + t^6.55 + t^6.58 - t^6.62 + t^6.69 + t^6.73 + t^6.76 + t^6.78 + t^6.88 + t^6.92 + t^6.93 + t^6.96 + 2*t^7. + t^7.07 + t^7.08 + t^7.11 + t^7.16 + 2*t^7.2 + t^7.22 + t^7.23 + 2*t^7.31 + t^7.35 + t^7.37 + 2*t^7.4 + t^7.41 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.55 + t^7.6 + 2*t^7.61 + 2*t^7.69 + t^7.7 + t^7.75 - t^7.78 + 2*t^7.81 + 2*t^7.84 + t^7.9 + 2*t^7.92 - t^7.93 + t^8.03 + t^8.05 + 2*t^8.07 - t^8.08 - t^8.11 + t^8.14 + 2*t^8.16 - t^8.2 + 2*t^8.23 - t^8.31 + t^8.34 - t^8.35 - 4*t^8.46 + t^8.49 - t^8.51 + 3*t^8.54 - t^8.6 - t^8.62 + t^8.65 + t^8.68 - 3*t^8.69 - t^8.72 + t^8.74 + t^8.76 + 2*t^8.78 - t^8.81 + t^8.83 + 3*t^8.89 - 9*t^8.93 + t^8.94 + 2*t^8.96 + t^8.98 - t^4.35/y - t^6.65/y - t^6.8/y - t^7.04/y - t^7.27/y + t^7.42/y + t^7.65/y + t^7.76/y + t^7.89/y + t^8./y + t^8.04/y + t^8.15/y + (2*t^8.23)/y + (2*t^8.38)/y + t^8.58/y + (2*t^8.62)/y + t^8.65/y + t^8.73/y + t^8.8/y + t^8.85/y - t^8.96/y + t^8.97/y - t^4.35*y - t^6.65*y - t^6.8*y - t^7.04*y - t^7.27*y + t^7.42*y + t^7.65*y + t^7.76*y + t^7.89*y + t^8.*y + t^8.04*y + t^8.15*y + 2*t^8.23*y + 2*t^8.38*y + t^8.58*y + 2*t^8.62*y + t^8.65*y + t^8.73*y + t^8.8*y + t^8.85*y - t^8.96*y + t^8.97*y | t^2.31/(g1^8*g3^4) + t^2.46/(g2^8*g3^4) + t^2.69/(g1^2*g2^2*g3^2) + (2*g2^4*t^2.93)/g1^4 + g1^8*g2^8*t^3.28 + (g3^4*t^3.34)/(g1^4*g2^4) + t^4.07/(g1^9*g2^9*g3) + (g2^3*t^4.27)/(g1^5*g3) + (g1^3*t^4.42)/(g2^5*g3) + (g2^15*t^4.47)/(g1*g3) + t^4.61/(g1^16*g3^8) + (g1^7*g2^7*t^4.62)/g3 + (g3^3*t^4.69)/(g1^5*g2^5) + t^4.76/(g1^8*g2^8*g3^8) + (g1^15*t^4.77)/(g2*g3) + (g2^7*g3^3*t^4.89)/g1 + t^4.91/(g2^16*g3^8) + t^5./(g1^10*g2^2*g3^6) + (g1^7*g3^3*t^5.04)/g2 + t^5.15/(g1^2*g2^10*g3^6) + (2*g2^4*t^5.23)/(g1^12*g3^4) + (g3^7*t^5.31)/(g1*g2) + (2*t^5.38)/(g1^4*g2^4*g3^4) + (2*g2^2*t^5.62)/(g1^6*g3^2) + (2*g2^8*t^5.85)/g1^8 + (g1^6*g2^6*t^5.97)/g3^2 - 4*t^6. + (g3^2*t^6.03)/(g1^6*g2^6) - (g1^8*t^6.15)/g2^8 + g1^4*g2^12*t^6.2 + (g3^4*t^6.27)/g1^8 - g1^12*g2^4*t^6.35 + t^6.38/(g1^17*g2^9*g3^5) - (g3^4*t^6.42)/g2^8 + t^6.53/(g1^9*g2^17*g3^5) + g1^16*g2^16*t^6.55 + (g2^3*t^6.58)/(g1^13*g3^5) - g1^4*g2^4*g3^4*t^6.62 + (g3^8*t^6.69)/(g1^8*g2^8) + t^6.73/(g1^5*g2^5*g3^5) + t^6.76/(g1^11*g2^11*g3^3) + (g2^15*t^6.78)/(g1^9*g3^5) + (g1^3*t^6.88)/(g2^13*g3^5) + t^6.92/(g1^24*g3^12) + (g2^7*t^6.93)/(g1*g3^5) + (g2*t^6.96)/(g1^7*g3^3) + (2*t^7.)/(g1^13*g2^5*g3) + t^7.07/(g1^16*g2^8*g3^12) + (g1^7*t^7.08)/(g2*g3^5) + (g1*t^7.11)/(g2^7*g3^3) + (g2^13*t^7.16)/(g1^3*g3^3) + (2*g2^7*t^7.2)/(g1^9*g3) + t^7.22/(g1^8*g2^16*g3^12) + (g1^15*t^7.23)/(g2^9*g3^5) + t^7.31/(g1^18*g2^2*g3^10) + (g1^5*g2^5*t^7.31)/g3^3 + t^7.35/(g1*g2*g3) + t^7.37/(g2^24*g3^12) + (2*g2^19*t^7.4)/(g1^5*g3) + (g3^3*t^7.41)/(g1^13*g2^13) + t^7.45/(g1^10*g2^10*g3^10) + (g1^13*t^7.46)/(g2^3*g3^3) + (2*g2^4*t^7.54)/(g1^20*g3^8) + (g1^3*g2^11*t^7.55)/g3 + t^7.6/(g1^2*g2^18*g3^10) + (2*g3^3*t^7.61)/(g1^9*g2) + (2*t^7.69)/(g1^12*g2^4*g3^8) + (g1^11*g2^3*t^7.7)/g3 + (g1^7*g2^23*t^7.75)/g3 - g1*g2^17*g3*t^7.78 + (2*g2^11*g3^3*t^7.81)/g1^5 + (2*t^7.84)/(g1^4*g2^12*g3^8) + (g1^15*g2^15*t^7.9)/g3 + (2*g2^2*t^7.92)/(g1^14*g3^6) - g1^9*g2^9*g3*t^7.93 + (g3^7*t^8.03)/(g1^9*g2^9) + (g1^23*g2^7*t^8.05)/g3 + (2*t^8.07)/(g1^6*g2^6*g3^6) - g1^17*g2*g3*t^8.08 - t^8.11/(g1^12*g2^12*g3^4) + t^8.14/(g1^18*g2^18*g3^2) + (2*g2^8*t^8.16)/(g1^16*g3^4) - g1*g2^9*g3^5*t^8.2 + (2*g2^3*g3^7*t^8.23)/g1^5 - t^8.31/(g1^8*g3^4) + t^8.34/(g1^14*g2^6*g3^2) - g1^9*g2*g3^5*t^8.35 - (4*t^8.46)/(g2^8*g3^4) + t^8.49/(g1^6*g2^14*g3^2) - (g2^12*t^8.51)/(g1^4*g3^4) + (3*g2^6*t^8.54)/(g1^10*g3^2) - (g1^8*t^8.6)/(g2^16*g3^4) - g1*g2*g3^9*t^8.62 + (g3^11*t^8.65)/(g1^5*g2^5) + t^8.68/(g1^25*g2^9*g3^9) - (3*t^8.69)/(g1^2*g2^2*g3^2) - t^8.72/(g1^8*g2^8) + (g2^18*t^8.74)/(g1^6*g3^2) + (g3^2*t^8.76)/(g1^14*g2^14) + (2*g2^12*t^8.78)/g1^12 - (g1^12*t^8.81)/(g2^4*g3^4) + t^8.83/(g1^17*g2^17*g3^9) + (g2^3*t^8.89)/(g1^21*g3^9) + (2*g1^2*g2^10*t^8.89)/g3^2 - (9*g2^4*t^8.93)/g1^4 + (g2^30*t^8.94)/(g1^2*g3^2) + (2*g3^2*t^8.96)/(g1^10*g2^2) + t^8.98/(g1^9*g2^25*g3^9) - t^4.35/(g1*g2*g3*y) - t^6.65/(g1^9*g2*g3^5*y) - t^6.8/(g1*g2^9*g3^5*y) - t^7.04/(g1^3*g2^3*g3^3*y) - (g2^3*t^7.27)/(g1^5*g3*y) + (g1^3*t^7.42)/(g2^5*g3*y) + (g1*g2*g3*t^7.65)/y + t^7.76/(g1^8*g2^8*g3^8*y) + (g2^7*g3^3*t^7.89)/(g1*y) + t^8./(g1^10*g2^2*g3^6*y) + (g1^7*g3^3*t^8.04)/(g2*y) + t^8.15/(g1^2*g2^10*g3^6*y) + (2*g2^4*t^8.23)/(g1^12*g3^4*y) + (2*t^8.38)/(g1^4*g2^4*g3^4*y) + (g2^8*t^8.58)/(g3^4*y) + (2*g2^2*t^8.62)/(g1^6*g3^2*y) + t^8.65/(g1^12*g2^4*y) + (g1^8*t^8.73)/(g3^4*y) + t^8.8/(g1^4*g2^12*y) + (g2^8*t^8.85)/(g1^8*y) - t^8.96/(g1^17*g2*g3^9*y) + (g1^6*g2^6*t^8.97)/(g3^2*y) - (t^4.35*y)/(g1*g2*g3) - (t^6.65*y)/(g1^9*g2*g3^5) - (t^6.8*y)/(g1*g2^9*g3^5) - (t^7.04*y)/(g1^3*g2^3*g3^3) - (g2^3*t^7.27*y)/(g1^5*g3) + (g1^3*t^7.42*y)/(g2^5*g3) + g1*g2*g3*t^7.65*y + (t^7.76*y)/(g1^8*g2^8*g3^8) + (g2^7*g3^3*t^7.89*y)/g1 + (t^8.*y)/(g1^10*g2^2*g3^6) + (g1^7*g3^3*t^8.04*y)/g2 + (t^8.15*y)/(g1^2*g2^10*g3^6) + (2*g2^4*t^8.23*y)/(g1^12*g3^4) + (2*t^8.38*y)/(g1^4*g2^4*g3^4) + (g2^8*t^8.58*y)/g3^4 + (2*g2^2*t^8.62*y)/(g1^6*g3^2) + (t^8.65*y)/(g1^12*g2^4) + (g1^8*t^8.73*y)/g3^4 + (t^8.8*y)/(g1^4*g2^12) + (g2^8*t^8.85*y)/g1^8 - (t^8.96*y)/(g1^17*g2*g3^9) + (g1^6*g2^6*t^8.97*y)/g3^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 580 | $M_1q_1q_2$ + $ 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$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1814 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6348 | 0.784 | 0.8097 | [X:[1.6126], M:[0.8379, 0.7117, 1.1621, 0.3874, 0.8379], q:[0.4032, 0.759], qb:[0.4347, 0.8536], phi:[0.3874]] | t^2.13 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + 2*t^3.77 + t^4.27 + t^4.46 + 3*t^4.65 + 3*t^4.84 + 3*t^5.03 + 2*t^5.72 + 2*t^5.91 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 1815 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]] | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 579 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | 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$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |