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 |
|---|---|---|---|---|---|---|---|---|---|
| 2524 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.7508 | 0.9489 | 0.7912 | [X:[], M:[1.0774, 0.7679, 0.9374, 0.9079, 1.0, 0.8453, 0.6787, 0.9226], q:[0.4926, 0.43], qb:[0.57, 0.6621], phi:[0.4613]] | [X:[], M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-4, -4], [13, 1], [-2, -2]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ M_4$, $ M_8$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_2M_7$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_5M_7$, $ M_6^2$, $ M_2M_8$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_4M_6$, $ M_2M_5$, $ M_6M_8$, $ M_6\phi_1^2$, $ M_3M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_8$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_3M_8$, $ M_3\phi_1^2$, $ M_3^2$, $ M_5M_8$, $ M_5\phi_1^2$ | . | -3 | t^2.04 + t^2.3 + t^2.54 + t^2.72 + 2*t^2.77 + t^2.81 + t^3. + t^4.07 + t^4.15 + 2*t^4.34 + t^4.38 + 2*t^4.57 + t^4.61 + t^4.66 + t^4.76 + 3*t^4.8 + t^4.84 + 2*t^4.85 + t^5.03 + t^5.04 + 3*t^5.07 + t^5.08 + t^5.12 + t^5.26 + 2*t^5.3 + t^5.35 + t^5.36 + t^5.45 + t^5.49 + 5*t^5.54 + t^5.58 + t^5.62 + t^5.77 - 3*t^6. + t^6.11 - t^6.23 - t^6.28 + 2*t^6.38 - t^6.51 + 2*t^6.61 + 2*t^6.64 + t^6.69 + t^6.8 + 3*t^6.84 + 5*t^6.88 + t^6.91 + 3*t^6.92 + t^6.96 + 2*t^7.06 + t^7.07 + 7*t^7.11 + t^7.12 + t^7.14 + 4*t^7.15 + 2*t^7.3 + t^7.33 + 5*t^7.34 + 5*t^7.38 + t^7.39 + t^7.42 + t^7.43 + t^7.47 + t^7.48 + 2*t^7.53 + t^7.56 + 6*t^7.57 + 3*t^7.61 + 2*t^7.62 + t^7.65 + 2*t^7.66 + t^7.75 + 3*t^7.8 + 6*t^7.84 + 2*t^7.88 + t^7.93 + t^7.98 + t^8.03 - 5*t^8.04 + 4*t^8.07 - t^8.08 + t^8.12 + t^8.14 + t^8.16 + 2*t^8.17 + t^8.22 + 2*t^8.26 - 2*t^8.27 + 2*t^8.3 - 2*t^8.31 + 2*t^8.35 + t^8.39 + 2*t^8.41 + t^8.44 - t^8.5 - 5*t^8.54 - 2*t^8.58 - t^8.59 + 2*t^8.64 + 3*t^8.68 - 3*t^8.72 + t^8.76 - 8*t^8.77 - 5*t^8.81 + t^8.83 + 3*t^8.88 + 3*t^8.91 + 2*t^8.92 + 2*t^8.95 + t^8.99 - t^4.38/y - t^6.42/y - t^6.69/y - t^6.92/y - t^7.11/y - t^7.15/y - t^7.2/y + t^7.34/y + (2*t^7.57)/y + t^7.62/y + t^7.66/y + t^7.76/y + (2*t^7.8)/y + t^7.84/y + (2*t^7.85)/y + t^8.03/y + t^8.04/y + (2*t^8.07)/y + t^8.08/y + t^8.12/y + t^8.26/y + (3*t^8.3)/y + (2*t^8.35)/y - t^8.46/y + (2*t^8.49)/y + (3*t^8.54)/y + (2*t^8.58)/y + (2*t^8.77)/y + t^8.81/y - t^8.96/y - t^8.99/y - t^4.38*y - t^6.42*y - t^6.69*y - t^6.92*y - t^7.11*y - t^7.15*y - t^7.2*y + t^7.34*y + 2*t^7.57*y + t^7.62*y + t^7.66*y + t^7.76*y + 2*t^7.8*y + t^7.84*y + 2*t^7.85*y + t^8.03*y + t^8.04*y + 2*t^8.07*y + t^8.08*y + t^8.12*y + t^8.26*y + 3*t^8.3*y + 2*t^8.35*y - t^8.46*y + 2*t^8.49*y + 3*t^8.54*y + 2*t^8.58*y + 2*t^8.77*y + t^8.81*y - t^8.96*y - t^8.99*y | g1^13*g2*t^2.04 + t^2.3/(g1^6*g2^6) + t^2.54/(g1^4*g2^4) + (g1^6*t^2.72)/g2^6 + (2*t^2.77)/(g1^2*g2^2) + (g2^2*t^2.81)/g1^10 + t^3. + g1^26*g2^2*t^4.07 + t^4.15/(g1^3*g2^3) + (2*g1^7*t^4.34)/g2^5 + t^4.38/(g1*g2) + (2*g1^9*t^4.57)/g2^3 + t^4.61/(g1^12*g2^12) + (g2^5*t^4.66)/g1^7 + (g1^19*t^4.76)/g2^5 + (3*g1^11*t^4.8)/g2 + t^4.84/(g1^10*g2^10) + 2*g1^3*g2^3*t^4.85 + t^5.03/g2^12 + g1^13*g2*t^5.04 + (3*t^5.07)/(g1^8*g2^8) + g1^5*g2^5*t^5.08 + t^5.12/(g1^16*g2^4) + (g1^2*t^5.26)/g2^10 + (2*t^5.3)/(g1^6*g2^6) + t^5.35/(g1^14*g2^2) + (g2^11*t^5.36)/g1 + (g1^12*t^5.45)/g2^12 + (g1^4*t^5.49)/g2^8 + (5*t^5.54)/(g1^4*g2^4) + t^5.58/g1^12 + (g2^4*t^5.62)/g1^20 + t^5.77/(g1^2*g2^2) - 3*t^6. + g1^39*g2^3*t^6.11 - g1^2*g2^2*t^6.23 - (g2^6*t^6.28)/g1^6 + (2*g1^20*t^6.38)/g2^4 + t^6.46/(g1^9*g2^9) - g1^4*g2^4*t^6.46 - (g2^8*t^6.51)/g1^4 + (2*g1^22*t^6.61)/g2^2 + (2*g1*t^6.64)/g2^11 + t^6.69/(g1^7*g2^7) + (g1^32*t^6.8)/g2^4 + 3*g1^24*t^6.84 + (3*g1^3*t^6.88)/g2^9 + 2*g1^16*g2^4*t^6.88 + t^6.91/(g1^18*g2^18) + (3*t^6.92)/(g1^5*g2^5) + t^6.96/(g1^13*g2) + (2*g1^13*t^7.06)/g2^11 + g1^26*g2^2*t^7.07 + (7*g1^5*t^7.11)/g2^7 + g1^18*g2^6*t^7.12 + t^7.14/(g1^16*g2^16) + (4*t^7.15)/(g1^3*g2^3) + (2*g1^15*t^7.3)/g2^9 + t^7.33/(g1^6*g2^18) + (5*g1^7*t^7.34)/g2^5 + (3*t^7.38)/(g1^14*g2^14) + (2*t^7.38)/(g1*g2) + g1^12*g2^12*t^7.39 + t^7.42/(g1^22*g2^10) + (g2^3*t^7.43)/g1^9 + (g2^7*t^7.47)/g1^17 + (g1^25*t^7.48)/g2^11 + (2*g1^17*t^7.53)/g2^7 + t^7.56/(g1^4*g2^16) + (6*g1^9*t^7.57)/g2^3 + (3*t^7.61)/(g1^12*g2^12) + 2*g1*g2*t^7.62 + t^7.65/(g1^20*g2^8) + (2*g2^5*t^7.66)/g1^7 + (g1^6*t^7.75)/g2^18 + (2*t^7.8)/(g1^2*g2^14) + (g1^11*t^7.8)/g2 + (6*t^7.84)/(g1^10*g2^10) + (2*t^7.88)/(g1^18*g2^6) + t^7.93/(g1^26*g2^2) + (g1^8*t^7.98)/g2^16 + t^8.03/g2^12 - 5*g1^13*g2*t^8.04 + (4*t^8.07)/(g1^8*g2^8) - g1^5*g2^5*t^8.08 + (g2^9*t^8.12)/g1^3 + g1^52*g2^4*t^8.14 + t^8.16/g1^24 + (g1^18*t^8.17)/g2^18 + (g2^13*t^8.17)/g1^11 + (g1^10*t^8.22)/g2^14 + (2*g1^2*t^8.26)/g2^10 - 2*g1^15*g2^3*t^8.27 + (2*t^8.3)/(g1^6*g2^6) - 2*g1^7*g2^7*t^8.31 + (2*t^8.35)/(g1^14*g2^2) + (g2^2*t^8.39)/g1^22 + (2*g1^33*t^8.41)/g2^3 + (g2^6*t^8.44)/g1^30 - g1^17*g2^5*t^8.5 - (3*t^8.54)/(g1^4*g2^4) - 2*g1^9*g2^9*t^8.54 - (2*t^8.58)/g1^12 - g1*g2^13*t^8.59 + (2*g1^35*t^8.64)/g2 + (3*g1^14*t^8.68)/g2^10 - (3*g1^6*t^8.72)/g2^6 + t^8.76/(g1^15*g2^15) - (8*t^8.77)/(g1^2*g2^2) - (5*g2^2*t^8.81)/g1^10 + (g1^45*t^8.83)/g2^3 + 3*g1^37*g2*t^8.88 + (3*g1^16*t^8.91)/g2^8 + 2*g1^29*g2^5*t^8.92 + (2*t^8.95)/(g1^5*g2^17) + t^8.99/(g1^13*g2^13) - t^4.38/(g1*g2*y) - (g1^12*t^6.42)/y - t^6.69/(g1^7*g2^7*y) - t^6.92/(g1^5*g2^5*y) - (g1^5*t^7.11)/(g2^7*y) - t^7.15/(g1^3*g2^3*y) - (g2*t^7.2)/(g1^11*y) + (g1^7*t^7.34)/(g2^5*y) + (2*g1^9*t^7.57)/(g2^3*y) + (g1*g2*t^7.62)/y + (g2^5*t^7.66)/(g1^7*y) + (g1^19*t^7.76)/(g2^5*y) + (2*g1^11*t^7.8)/(g2*y) + t^7.84/(g1^10*g2^10*y) + (2*g1^3*g2^3*t^7.85)/y + t^8.03/(g2^12*y) + (g1^13*g2*t^8.04)/y + (2*t^8.07)/(g1^8*g2^8*y) + (g1^5*g2^5*t^8.08)/y + t^8.12/(g1^16*g2^4*y) + (g1^2*t^8.26)/(g2^10*y) + (3*t^8.3)/(g1^6*g2^6*y) + (2*t^8.35)/(g1^14*g2^2*y) - (g1^25*g2*t^8.46)/y + (2*g1^4*t^8.49)/(g2^8*y) + (3*t^8.54)/(g1^4*g2^4*y) + (2*t^8.58)/(g1^12*y) + (2*t^8.77)/(g1^2*g2^2*y) + (g2^2*t^8.81)/(g1^10*y) - (g1^8*t^8.96)/(g2^4*y) - t^8.99/(g1^13*g2^13*y) - (t^4.38*y)/(g1*g2) - g1^12*t^6.42*y - (t^6.69*y)/(g1^7*g2^7) - (t^6.92*y)/(g1^5*g2^5) - (g1^5*t^7.11*y)/g2^7 - (t^7.15*y)/(g1^3*g2^3) - (g2*t^7.2*y)/g1^11 + (g1^7*t^7.34*y)/g2^5 + (2*g1^9*t^7.57*y)/g2^3 + g1*g2*t^7.62*y + (g2^5*t^7.66*y)/g1^7 + (g1^19*t^7.76*y)/g2^5 + (2*g1^11*t^7.8*y)/g2 + (t^7.84*y)/(g1^10*g2^10) + 2*g1^3*g2^3*t^7.85*y + (t^8.03*y)/g2^12 + g1^13*g2*t^8.04*y + (2*t^8.07*y)/(g1^8*g2^8) + g1^5*g2^5*t^8.08*y + (t^8.12*y)/(g1^16*g2^4) + (g1^2*t^8.26*y)/g2^10 + (3*t^8.3*y)/(g1^6*g2^6) + (2*t^8.35*y)/(g1^14*g2^2) - g1^25*g2*t^8.46*y + (2*g1^4*t^8.49*y)/g2^8 + (3*t^8.54*y)/(g1^4*g2^4) + (2*t^8.58*y)/g1^12 + (2*t^8.77*y)/(g1^2*g2^2) + (g2^2*t^8.81*y)/g1^10 - (g1^8*t^8.96*y)/g2^4 - (t^8.99*y)/(g1^13*g2^13) |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1436 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7439 | 0.9365 | 0.7943 | [X:[], M:[1.0715, 0.7854, 0.9386, 0.9183, 1.0, 0.8569, 0.6687], q:[0.4949, 0.4336], qb:[0.5664, 0.6481], phi:[0.4642]] | t^2.01 + t^2.36 + t^2.57 + t^2.75 + t^2.79 + t^2.82 + t^3. + t^3.21 + t^4.01 + t^4.18 + 2*t^4.36 + t^4.39 + 2*t^4.58 + t^4.64 + t^4.71 + t^4.76 + 2*t^4.79 + 2*t^4.82 + t^4.93 + t^5.01 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.22 + t^5.28 + t^5.33 + t^5.36 + t^5.39 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.79 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*y | detail |