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 |
|---|---|---|---|---|---|---|---|---|---|
| 48238 | 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6768 | 0.8462 | 0.7998 | [X:[], M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] | [X:[], M:[[-5], [4], [5], [-12], [14]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | t^2.26 + t^2.35 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + 2*t^3.91 + t^4.09 + t^4.17 + t^4.35 + t^4.52 + 2*t^4.61 + t^4.7 + t^4.78 + t^4.87 + 2*t^5.04 + t^5.13 + t^5.22 + 2*t^5.3 + 2*t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^6. + 2*t^6.17 + t^6.26 + t^6.35 + 3*t^6.43 + t^6.52 + 2*t^6.61 + 2*t^6.7 + t^6.78 + 5*t^6.87 + t^6.96 + 3*t^7.04 + 2*t^7.13 + 3*t^7.3 + 2*t^7.39 + 2*t^7.48 + 3*t^7.56 + t^7.65 + 2*t^7.74 + 3*t^7.83 + t^7.91 + 4*t^8. + t^8.09 + 2*t^8.17 + t^8.26 - 2*t^8.35 + 4*t^8.43 + t^8.61 + 4*t^8.7 + 4*t^8.87 + t^8.96 - t^4.39/y - t^6.65/y - t^6.74/y + t^7.61/y + t^7.78/y + t^7.87/y + (2*t^8.04)/y + (2*t^8.13)/y + t^8.22/y + (2*t^8.3)/y + (2*t^8.48)/y + t^8.57/y + (3*t^8.74)/y + t^8.83/y - t^8.91/y - t^4.39*y - t^6.65*y - t^6.74*y + t^7.61*y + t^7.78*y + t^7.87*y + 2*t^8.04*y + 2*t^8.13*y + t^8.22*y + 2*t^8.3*y + 2*t^8.48*y + t^8.57*y + 3*t^8.74*y + t^8.83*y - t^8.91*y | g1^14*t^2.26 + t^2.35/g1^12 + g1^5*t^2.52 + t^2.78/g1^4 + g1^13*t^2.96 + g1^4*t^3.22 + t^3.48/g1^5 + 2*g1^3*t^3.91 + g1^20*t^4.09 + t^4.17/g1^6 + g1^11*t^4.35 + g1^28*t^4.52 + 2*g1^2*t^4.61 + t^4.7/g1^24 + g1^19*t^4.78 + t^4.87/g1^7 + 2*g1^10*t^5.04 + t^5.13/g1^16 + g1^27*t^5.22 + 2*g1*t^5.3 + 2*g1^18*t^5.48 + t^5.57/g1^8 + 2*g1^9*t^5.74 + g1^26*t^5.91 - t^6. + 2*g1^17*t^6.17 + t^6.26/g1^9 + g1^34*t^6.35 + 3*g1^8*t^6.43 + t^6.52/g1^18 + 2*g1^25*t^6.61 + (2*t^6.7)/g1 + g1^42*t^6.78 + 5*g1^16*t^6.87 + t^6.96/g1^10 + t^7.04/g1^36 + 2*g1^33*t^7.04 + 2*g1^7*t^7.13 + 3*g1^24*t^7.3 + (2*t^7.39)/g1^2 + t^7.48/g1^28 + g1^41*t^7.48 + 3*g1^15*t^7.56 + t^7.65/g1^11 + 2*g1^32*t^7.74 + 3*g1^6*t^7.83 + t^7.91/g1^20 + 4*g1^23*t^8. + t^8.09/g1^3 + 2*g1^40*t^8.17 + g1^14*t^8.26 - (2*t^8.35)/g1^12 + 4*g1^31*t^8.43 + g1^48*t^8.61 + 4*g1^22*t^8.7 + t^8.87/g1^30 + 3*g1^39*t^8.87 + g1^13*t^8.96 - t^4.39/(g1^2*y) - (g1^12*t^6.65)/y - t^6.74/(g1^14*y) + (g1^2*t^7.61)/y + (g1^19*t^7.78)/y + t^7.87/(g1^7*y) + (2*g1^10*t^8.04)/y + (2*t^8.13)/(g1^16*y) + (g1^27*t^8.22)/y + (2*g1*t^8.3)/y + (2*g1^18*t^8.48)/y + t^8.57/(g1^8*y) + (3*g1^9*t^8.74)/y + t^8.83/(g1^17*y) - (g1^26*t^8.91)/y - (t^4.39*y)/g1^2 - g1^12*t^6.65*y - (t^6.74*y)/g1^14 + g1^2*t^7.61*y + g1^19*t^7.78*y + (t^7.87*y)/g1^7 + 2*g1^10*t^8.04*y + (2*t^8.13*y)/g1^16 + g1^27*t^8.22*y + 2*g1*t^8.3*y + 2*g1^18*t^8.48*y + (t^8.57*y)/g1^8 + 3*g1^9*t^8.74*y + (t^8.83*y)/g1^17 - g1^26*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 50881 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3M_5$ + $ M_4X_1$ | 0.5688 | 0.6872 | 0.8277 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + 2*t^3.79 + 2*t^4.11 + t^4.42 + t^5.05 + 2*t^5.37 + t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 7803/13718, c: 18855/27436, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
| 55976 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_5^2$ + $ M_4X_1$ | 0.5942 | 0.7192 | 0.8262 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 3261/5488, c: 3947/5488, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, q1: 2/7, q2: 9/14, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
| 52344 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6974 | 0.8857 | 0.7874 | [X:[], M:[1.159, 1.0728, 0.841, 0.7815, 0.7549, 0.6954], q:[0.3907, 0.4503], qb:[0.5364, 0.7682], phi:[0.4636]] | t^2.09 + t^2.26 + t^2.34 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^3.91 + t^4.09 + 2*t^4.17 + 2*t^4.35 + t^4.43 + t^4.53 + 3*t^4.61 + t^4.69 + t^4.79 + 2*t^4.87 + 3*t^5.05 + t^5.13 + t^5.22 + 3*t^5.3 + 2*t^5.48 + 2*t^5.56 + 2*t^5.74 + t^5.92 - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | 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}_2^2$ + $ M_5\phi_1q_1^2$ | 0.6793 | 0.8474 | 0.8016 | [X:[], M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.28 + t^2.36 + t^2.49 + t^2.7 + t^3.04 + t^3.09 + t^3.51 + t^3.85 + t^3.98 + t^4.1 + t^4.31 + t^4.44 + t^4.57 + t^4.65 + t^4.73 + t^4.78 + t^4.86 + t^4.9 + 2*t^4.99 + t^5.07 + t^5.2 + t^5.33 + t^5.37 + t^5.41 + t^5.45 + t^5.58 + t^5.75 + 2*t^5.79 - 2*t^6. - t^4.35/y - t^4.35*y | detail |