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 |
|---|---|---|---|---|---|---|---|---|---|
| 300 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.5633 | 0.7261 | 0.7758 | [X:[], M:[1.1313, 0.7766, 0.698, 0.9607], q:[0.5662, 0.9995], qb:[0.3025, 0.3945], phi:[0.4343]] | [X:[], M:[[2, 2], [1, -5], [-9, -3], [-5, 1]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_3\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ M_2q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_4^2$, $ M_4q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | 2*t^2.09 + t^2.33 + t^2.61 + 2*t^2.88 + 2*t^3.39 + 2*t^4.18 + 2*t^4.19 + 2*t^4.42 + t^4.66 + 3*t^4.7 + t^4.94 + 2*t^4.97 + 2*t^4.98 + 2*t^5.21 + 2*t^5.48 + 3*t^5.49 + t^5.72 + 3*t^5.76 - 2*t^6. + 2*t^6.27 + 6*t^6.28 + t^6.52 + 2*t^6.75 + 4*t^6.79 + t^6.99 + 2*t^7.03 + 3*t^7.06 + 4*t^7.07 + t^7.27 - t^7.3 + 2*t^7.31 + 2*t^7.54 + 9*t^7.58 - t^7.81 + 2*t^7.82 + 6*t^7.86 + t^8.05 - 3*t^8.09 - 3*t^8.33 + 3*t^8.36 + 9*t^8.37 + t^8.38 - t^8.6 - t^8.61 + 4*t^8.65 + t^8.85 - 3*t^8.88 + 2*t^8.89 - t^4.3/y - t^6.4/y - t^6.63/y + (3*t^7.42)/y + (2*t^7.7)/y + t^7.94/y + (3*t^7.97)/y + (2*t^7.98)/y + (3*t^8.21)/y + (2*t^8.48)/y + (3*t^8.49)/y + (2*t^8.72)/y - t^8.73/y + t^8.76/y - t^8.96/y - t^4.3*y - t^6.4*y - t^6.63*y + 3*t^7.42*y + 2*t^7.7*y + t^7.94*y + 3*t^7.97*y + 2*t^7.98*y + 3*t^8.21*y + 2*t^8.48*y + 3*t^8.49*y + 2*t^8.72*y - t^8.73*y + t^8.76*y - t^8.96*y | t^2.09/(g1^9*g2^3) + g1^3*g2^3*t^2.09 + (g1*t^2.33)/g2^5 + t^2.61/(g1^2*g2^2) + (2*g2*t^2.88)/g1^5 + 2*g1^2*g2^2*t^3.39 + 2*g1^6*g2^6*t^4.18 + t^4.19/g1^6 + t^4.19/(g1^18*g2^6) + t^4.42/(g1^8*g2^8) + (g1^4*t^4.42)/g2^2 + (g1^2*t^4.66)/g2^10 + t^4.7/(g1^11*g2^5) + 2*g1*g2*t^4.7 + t^4.94/(g1*g2^7) + (2*g2^4*t^4.97)/g1^2 + (2*t^4.98)/(g1^14*g2^2) + (2*t^5.21)/(g1^4*g2^4) + 2*g1^5*g2^5*t^5.48 + (3*t^5.49)/(g1^7*g2) + (g1^3*t^5.72)/g2^3 + (3*g2^2*t^5.76)/g1^10 - 2*t^6. + 2*g1^9*g2^9*t^6.27 + t^6.28/(g1^27*g2^9) + t^6.28/(g1^15*g2^3) + (4*g2^3*t^6.28)/g1^3 + t^6.52/(g1^17*g2^11) + t^6.75/(g1^7*g2^13) + (g1^5*t^6.75)/g2^7 + t^6.79/(g1^20*g2^8) + t^6.79/(g1^8*g2^2) + 2*g1^4*g2^4*t^6.79 + (g1^3*t^6.99)/g2^15 + t^7.03/(g1^10*g2^10) + (g1^2*t^7.03)/g2^4 + 3*g1*g2^7*t^7.06 + (2*t^7.07)/(g1^23*g2^5) + (2*g2*t^7.07)/g1^11 + t^7.27/g2^12 - g1^11*g2^5*t^7.3 + (2*t^7.31)/(g1^13*g2^7) + (2*t^7.54)/(g1^3*g2^9) + (3*t^7.58)/(g1^16*g2^4) + (3*g2^2*t^7.58)/g1^4 + 3*g1^8*g2^8*t^7.58 - g1^6*t^7.81 + (2*t^7.82)/(g1^6*g2^6) + (3*t^7.86)/(g1^19*g2) + (3*g2^5*t^7.86)/g1^7 + (g1^4*t^8.05)/g2^8 - 3*g1^3*g2^3*t^8.09 - (3*g1*t^8.33)/g2^5 + 3*g1^12*g2^12*t^8.36 + (5*t^8.37)/g1^12 + t^8.37/(g1^24*g2^6) + 3*g2^6*t^8.37 + t^8.38/(g1^36*g2^12) - g1^10*g2^4*t^8.6 + t^8.61/(g1^26*g2^14) - (2*t^8.61)/(g1^2*g2^2) + (4*g2^3*t^8.65)/g1^15 + t^8.85/(g1^16*g2^16) - (5*g2*t^8.88)/g1^5 + 2*g1^7*g2^7*t^8.88 + t^8.89/(g1^29*g2^11) + t^8.89/(g1^17*g2^5) - t^4.3/(g1*g2*y) - t^6.4/(g1^10*g2^4*y) - t^6.63/(g2^6*y) + t^7.42/(g1^8*g2^8*y) + (2*g1^4*t^7.42)/(g2^2*y) + t^7.7/(g1^11*g2^5*y) + (g1*g2*t^7.7)/y + t^7.94/(g1*g2^7*y) + (3*g2^4*t^7.97)/(g1^2*y) + (2*t^7.98)/(g1^14*g2^2*y) + (2*t^8.21)/(g1^4*g2^4*y) + (g1^8*g2^2*t^8.21)/y + (2*g1^5*g2^5*t^8.48)/y - t^8.49/(g1^19*g2^7*y) + (4*t^8.49)/(g1^7*g2*y) + (2*g1^3*t^8.72)/(g2^3*y) - t^8.73/(g1^9*g2^9*y) + (g2^2*t^8.76)/(g1^10*y) - (g1*t^8.96)/(g2^11*y) - (t^4.3*y)/(g1*g2) - (t^6.4*y)/(g1^10*g2^4) - (t^6.63*y)/g2^6 + (t^7.42*y)/(g1^8*g2^8) + (2*g1^4*t^7.42*y)/g2^2 + (t^7.7*y)/(g1^11*g2^5) + g1*g2*t^7.7*y + (t^7.94*y)/(g1*g2^7) + (3*g2^4*t^7.97*y)/g1^2 + (2*t^7.98*y)/(g1^14*g2^2) + (2*t^8.21*y)/(g1^4*g2^4) + g1^8*g2^2*t^8.21*y + 2*g1^5*g2^5*t^8.48*y - (t^8.49*y)/(g1^19*g2^7) + (4*t^8.49*y)/(g1^7*g2) + (2*g1^3*t^8.72*y)/g2^3 - (t^8.73*y)/(g1^9*g2^9) + (g2^2*t^8.76*y)/g1^10 - (g1*t^8.96*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 472 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_5$ | 0.5753 | 0.747 | 0.7701 | [X:[], M:[1.1393, 0.76, 0.6827, 0.9613, 0.8607], q:[0.5565, 1.0131], qb:[0.3042, 0.4048], phi:[0.4303]] | t^2.05 + t^2.13 + t^2.28 + 2*t^2.58 + 2*t^2.88 + t^3.42 + t^4.1 + t^4.18 + 2*t^4.25 + t^4.33 + t^4.41 + t^4.56 + 2*t^4.63 + 3*t^4.71 + 2*t^4.86 + 2*t^4.93 + 2*t^5.01 + 4*t^5.16 + 4*t^5.47 + t^5.54 + 3*t^5.77 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 471 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[1.1317, 0.7365, 0.7365, 1.0], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 190 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[1.1317, 0.7365, 0.7365], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. - t^4.3/y - t^4.3*y | detail |