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 |
|---|---|---|---|---|---|---|---|---|---|
| 1544 | 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.0013, 0.7671, 0.9309, 0.8375, 1.1625, 1.1158, 0.7907], q:[0.6152, 0.3836], qb:[0.4539, 0.7789], phi:[0.4421]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_7$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_3M_7$, $ M_1M_2$, $ M_3M_4$, $ M_1M_7$, $ M_3^2$, $ M_2M_6$, $ M_6M_7$, $ M_1M_3$, $ M_4M_6$, $ M_5M_7$ | . | -2 | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.18 + t^4.32 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.31 + t^5.38 + t^5.59 + t^5.65 + t^5.72 + t^5.8 + 2*t^5.86 - 2*t^6. + t^6.01 + t^6.14 + t^6.28 + 2*t^6.35 + t^6.42 + t^6.55 + t^6.56 + t^6.62 + t^6.69 + t^6.83 + t^6.84 + t^6.9 + t^6.91 + t^6.98 + 2*t^7.05 + 2*t^7.12 + t^7.19 + t^7.26 + t^7.32 + t^7.33 + t^7.39 + 2*t^7.4 + t^7.47 + t^7.53 + 2*t^7.54 + t^7.61 + t^7.67 + t^7.68 + t^7.75 + 2*t^7.89 + t^7.95 + t^7.96 + t^8.02 + t^8.09 + 2*t^8.1 + t^8.17 + 2*t^8.23 - 3*t^8.3 + t^8.31 + t^8.36 - t^8.37 + 2*t^8.38 + t^8.44 + t^8.5 - 2*t^8.51 + t^8.58 + t^8.59 + 2*t^8.65 + t^8.72 - 2*t^8.79 + t^8.8 + t^8.86 + 3*t^8.93 - t^4.33/y - t^6.63/y - t^6.7/y - t^7.12/y + t^7.32/y - t^7.33/y + t^7.53/y + t^7.67/y + t^7.81/y + t^7.88/y + t^7.95/y + t^8.02/y + t^8.09/y + t^8.17/y + (2*t^8.31)/y + t^8.38/y + t^8.52/y + t^8.65/y + t^8.72/y + t^8.79/y + t^8.8/y + (2*t^8.86)/y - t^8.93/y - t^4.33*y - t^6.63*y - t^6.7*y - t^7.12*y + t^7.32*y - t^7.33*y + t^7.53*y + t^7.67*y + t^7.81*y + t^7.88*y + t^7.95*y + t^8.02*y + t^8.09*y + t^8.17*y + 2*t^8.31*y + t^8.38*y + t^8.52*y + t^8.65*y + t^8.72*y + t^8.79*y + t^8.8*y + 2*t^8.86*y - t^8.93*y | t^2.3/(g1^2*g2^2) + g1^2*g2^6*t^2.37 + (g1*t^2.51)/g2 + t^2.79/(g1*g2^15) + (g1^2*t^3.)/g2^14 + g2^8*t^3.35 + (g2*t^3.49)/g1 + (g1*t^3.84)/g2^5 + (g1^4*t^4.05)/g2^4 + (g2^17*t^4.18)/g1 + (g2^10*t^4.32)/g1^2 + g1*g2^11*t^4.53 + t^4.6/(g1^4*g2^4) + g2^4*t^4.67 + g1^4*g2^12*t^4.74 + t^4.81/(g1*g2^3) + g1^3*g2^5*t^4.88 + (g1^2*t^5.02)/g2^2 + (g2^26*t^5.02)/g1^2 + t^5.09/(g1^3*g2^17) + (g1*t^5.17)/g2^9 + t^5.31/g2^16 + (g1^4*t^5.38)/g2^8 + t^5.59/(g1^2*g2^30) + (g2^6*t^5.65)/g1^2 + g1^2*g2^14*t^5.72 + (g1*t^5.8)/g2^29 + 2*g1*g2^7*t^5.86 - 2*t^6. + (g1^4*t^6.01)/g2^28 + t^6.14/(g1*g2^7) + t^6.28/(g1^2*g2^14) + (2*g1^2*t^6.35)/g2^6 + g1^6*g2^2*t^6.42 + g1*g2^23*t^6.55 + (g1^5*t^6.56)/g2^5 + (g2^8*t^6.62)/g1^4 + g2^16*t^6.69 + (g2^9*t^6.83)/g1 + (g1^3*t^6.84)/g2^19 + t^6.9/(g1^6*g2^6) + g1^3*g2^17*t^6.91 + (g2^2*t^6.98)/g1^2 + (g1^6*t^7.05)/g2^18 + g1^2*g2^10*t^7.05 + t^7.12/(g1^3*g2^5) + g1^6*g2^18*t^7.12 + g1*g2^3*t^7.19 + g1^5*g2^11*t^7.26 + (g2^24*t^7.32)/g1^4 + t^7.33/g2^4 + g2^32*t^7.39 + t^7.4/(g1^5*g2^19) + g1^4*g2^4*t^7.4 + t^7.47/(g1*g2^11) + (g2^25*t^7.53)/g1 + (2*g1^3*t^7.54)/g2^3 + t^7.61/(g1^2*g2^18) + (g2^18*t^7.67)/g1^2 + (g1^2*t^7.68)/g2^10 + (g1^6*t^7.75)/g2^2 + t^7.89/(g1^4*g2^32) + (g1^5*t^7.89)/g2^9 + (g2^4*t^7.95)/g1^4 + t^7.96/g2^24 + g2^12*t^8.02 + g1^4*g2^20*t^8.09 + t^8.1/(g1*g2^31) + (g1^8*t^8.1)/g2^8 + (g1^3*t^8.17)/g2^23 + 2*g1^3*g2^13*t^8.23 - (3*t^8.3)/(g1^2*g2^2) + (g1^2*t^8.31)/g2^30 + (g2^34*t^8.36)/g1^2 - g1^2*g2^6*t^8.37 + t^8.38/(g1^3*g2^45) + (g1^6*t^8.38)/g2^22 + t^8.44/(g1^3*g2^9) + (g2^27*t^8.5)/g1^3 - (2*g1*t^8.51)/g2 + g1^5*g2^7*t^8.58 + t^8.59/g2^44 + (2*t^8.65)/g2^8 + g1^4*t^8.72 - (3*t^8.79)/(g1*g2^15) + g1^8*g2^8*t^8.79 + (g1^3*t^8.8)/g2^43 + (g1^3*t^8.86)/g2^7 + g1^7*g2*t^8.93 + (g2^6*t^8.93)/g1^6 + g1^3*g2^29*t^8.93 - t^4.33/(g2^4*y) - t^6.63/(g1^2*g2^6*y) - (g1^2*g2^2*t^6.7)/y - t^7.12/(g1*g2^19*y) + (g2^10*t^7.32)/(g1^2*y) - (g1^2*t^7.33)/(g2^18*y) + (g1*g2^11*t^7.53)/y + (g2^4*t^7.67)/y + t^7.81/(g1*g2^3*y) + (g1^3*g2^5*t^7.88)/y + t^7.95/(g1^2*g2^10*y) + (g1^2*t^8.02)/(g2^2*y) + t^8.09/(g1^3*g2^17*y) + (g1*t^8.17)/(g2^9*y) + (2*t^8.31)/(g2^16*y) + (g1^4*t^8.38)/(g2^8*y) + (g1^3*t^8.52)/(g2^15*y) + (g2^6*t^8.65)/(g1^2*y) + (g1^2*g2^14*t^8.72)/y + t^8.79/(g1^3*g2*y) + (g1*t^8.8)/(g2^29*y) + (2*g1*g2^7*t^8.86)/y - t^8.93/(g1^4*g2^8*y) - (t^4.33*y)/g2^4 - (t^6.63*y)/(g1^2*g2^6) - g1^2*g2^2*t^6.7*y - (t^7.12*y)/(g1*g2^19) + (g2^10*t^7.32*y)/g1^2 - (g1^2*t^7.33*y)/g2^18 + g1*g2^11*t^7.53*y + g2^4*t^7.67*y + (t^7.81*y)/(g1*g2^3) + g1^3*g2^5*t^7.88*y + (t^7.95*y)/(g1^2*g2^10) + (g1^2*t^8.02*y)/g2^2 + (t^8.09*y)/(g1^3*g2^17) + (g1*t^8.17*y)/g2^9 + (2*t^8.31*y)/g2^16 + (g1^4*t^8.38*y)/g2^8 + (g1^3*t^8.52*y)/g2^15 + (g2^6*t^8.65*y)/g1^2 + g1^2*g2^14*t^8.72*y + (t^8.79*y)/(g1^3*g2) + (g1*t^8.8*y)/g2^29 + 2*g1*g2^7*t^8.86*y - (t^8.93*y)/(g1^4*g2^8) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2676 | $M_1q_1q_2$ + $ 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 984 | 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |