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 |
|---|---|---|---|---|---|---|---|---|---|
| 50863 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2^2$ | 0.7088 | 0.8951 | 0.7919 | [X:[], M:[0.9806, 1.0, 1.1154, 0.6731, 0.7692, 0.6925], q:[0.5674, 0.452], qb:[0.4326, 0.7789], phi:[0.4423]] | [X:[], M:[[-18], [0], [4], [6], [-8], [24]], q:[[11], [7]], qb:[[-11], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4M_6$, $ M_6^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_1M_6$, $ M_2M_6$, $ M_1M_5$, $ M_2M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_6$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.02 + t^2.08 + t^2.31 + t^2.65 + t^2.94 + t^3. + t^3.35 + t^3.63 + 3*t^4.04 + t^4.1 + t^4.16 + 2*t^4.33 + 2*t^4.39 + t^4.61 + t^4.67 + 2*t^4.73 + 2*t^4.96 + 2*t^5.02 + t^5.08 + t^5.25 + 2*t^5.31 + t^5.37 + t^5.42 + 2*t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. + 2*t^6.06 + 3*t^6.12 + t^6.17 + t^6.23 + t^6.29 + 3*t^6.35 + 2*t^6.4 + 2*t^6.46 + t^6.58 + 2*t^6.63 + 4*t^6.69 + 2*t^6.75 + 2*t^6.81 + 3*t^6.98 + 5*t^7.04 + 2*t^7.1 + t^7.16 + 2*t^7.27 + 2*t^7.33 + 4*t^7.39 + t^7.44 + t^7.5 + t^7.56 + t^7.61 + 3*t^7.67 + 2*t^7.73 + t^7.79 + t^7.9 + 3*t^7.96 - t^8.02 + 3*t^8.08 + 2*t^8.14 + 4*t^8.19 + 2*t^8.25 - t^8.31 + 3*t^8.37 + 4*t^8.42 + 2*t^8.48 + 2*t^8.54 + t^8.6 + 2*t^8.65 + 2*t^8.71 + 7*t^8.77 + 3*t^8.83 + t^8.88 + 2*t^8.89 - t^8.94 - t^4.33/y - t^6.35/y - t^6.4/y - t^6.63/y + t^7.1/y - t^7.27/y + t^7.33/y + (2*t^7.39)/y + t^7.67/y + t^7.73/y + (2*t^7.96)/y + (3*t^8.02)/y + t^8.08/y + (2*t^8.25)/y + (2*t^8.31)/y - t^8.48/y + t^8.6/y + (2*t^8.65)/y + t^8.94/y - t^4.33*y - t^6.35*y - t^6.4*y - t^6.63*y + t^7.1*y - t^7.27*y + t^7.33*y + 2*t^7.39*y + t^7.67*y + t^7.73*y + 2*t^7.96*y + 3*t^8.02*y + t^8.08*y + 2*t^8.25*y + 2*t^8.31*y - t^8.48*y + t^8.6*y + 2*t^8.65*y + t^8.94*y | g1^6*t^2.02 + g1^24*t^2.08 + t^2.31/g1^8 + t^2.65/g1^4 + t^2.94/g1^18 + t^3. + g1^4*t^3.35 + t^3.63/g1^10 + 3*g1^12*t^4.04 + g1^30*t^4.1 + g1^48*t^4.16 + (2*t^4.33)/g1^2 + 2*g1^16*t^4.39 + t^4.61/g1^16 + g1^2*t^4.67 + 2*g1^20*t^4.73 + (2*t^4.96)/g1^12 + 2*g1^6*t^5.02 + g1^24*t^5.08 + t^5.25/g1^26 + (2*t^5.31)/g1^8 + g1^10*t^5.37 + g1^28*t^5.42 + (2*t^5.65)/g1^4 + g1^14*t^5.71 + t^5.88/g1^36 + t^5.94/g1^18 - t^6. + 2*g1^18*t^6.06 + 3*g1^36*t^6.12 + g1^54*t^6.17 + g1^72*t^6.23 + t^6.29/g1^14 + 3*g1^4*t^6.35 + 2*g1^22*t^6.4 + 2*g1^40*t^6.46 + t^6.58/g1^28 + (2*t^6.63)/g1^10 + 4*g1^8*t^6.69 + 2*g1^26*t^6.75 + 2*g1^44*t^6.81 + (3*t^6.98)/g1^6 + 5*g1^12*t^7.04 + 2*g1^30*t^7.1 + g1^48*t^7.16 + (2*t^7.27)/g1^20 + (2*t^7.33)/g1^2 + 4*g1^16*t^7.39 + g1^34*t^7.44 + g1^52*t^7.5 + t^7.56/g1^34 + t^7.61/g1^16 + 3*g1^2*t^7.67 + 2*g1^20*t^7.73 + g1^38*t^7.79 + t^7.9/g1^30 + (3*t^7.96)/g1^12 - g1^6*t^8.02 + 3*g1^24*t^8.08 + 2*g1^42*t^8.14 + t^8.19/g1^44 + 3*g1^60*t^8.19 + t^8.25/g1^26 + g1^78*t^8.25 - (2*t^8.31)/g1^8 + g1^96*t^8.31 + 3*g1^10*t^8.37 + 4*g1^28*t^8.42 + 2*g1^46*t^8.48 + 2*g1^64*t^8.54 + t^8.6/g1^22 + (2*t^8.65)/g1^4 + 2*g1^14*t^8.71 + 7*g1^32*t^8.77 + t^8.83/g1^54 + 2*g1^50*t^8.83 + t^8.88/g1^36 + 2*g1^68*t^8.89 - t^8.94/g1^18 - t^4.33/(g1^2*y) - (g1^4*t^6.35)/y - (g1^22*t^6.4)/y - t^6.63/(g1^10*y) + (g1^30*t^7.1)/y - t^7.27/(g1^20*y) + t^7.33/(g1^2*y) + (2*g1^16*t^7.39)/y + (g1^2*t^7.67)/y + (g1^20*t^7.73)/y + (2*t^7.96)/(g1^12*y) + (3*g1^6*t^8.02)/y + (g1^24*t^8.08)/y + (2*t^8.25)/(g1^26*y) + (2*t^8.31)/(g1^8*y) - (g1^46*t^8.48)/y + t^8.6/(g1^22*y) + (2*t^8.65)/(g1^4*y) + t^8.94/(g1^18*y) - (t^4.33*y)/g1^2 - g1^4*t^6.35*y - g1^22*t^6.4*y - (t^6.63*y)/g1^10 + g1^30*t^7.1*y - (t^7.27*y)/g1^20 + (t^7.33*y)/g1^2 + 2*g1^16*t^7.39*y + g1^2*t^7.67*y + g1^20*t^7.73*y + (2*t^7.96*y)/g1^12 + 3*g1^6*t^8.02*y + g1^24*t^8.08*y + (2*t^8.25*y)/g1^26 + (2*t^8.31*y)/g1^8 - g1^46*t^8.48*y + (t^8.6*y)/g1^22 + (2*t^8.65*y)/g1^4 + (t^8.94*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56049 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2^2$ + $ M_3M_6$ | 0.6893 | 0.8679 | 0.7942 | [X:[], M:[0.8571, 1.0, 1.1429, 0.7143, 0.7143, 0.8571], q:[0.6429, 0.5], qb:[0.3571, 0.7857], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + t^3. + 2*t^3.43 + 6*t^4.29 + 7*t^4.71 + 8*t^5.14 + 5*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3783/5488, c: 4763/5488, M1: 6/7, M2: 1, M3: 8/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 9/14, q2: 1/2, qb1: 5/14, qb2: 11/14, phi1: 3/7} |
| 56050 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2^2$ + $ M_3M_7$ | 0.7193 | 0.9125 | 0.7883 | [X:[], M:[0.9737, 1.0, 1.117, 0.6754, 0.7661, 0.7017, 0.883], q:[0.5716, 0.4547], qb:[0.4284, 0.7792], phi:[0.4415]] | t^2.03 + t^2.11 + t^2.3 + 2*t^2.65 + t^2.92 + t^3. + t^3.62 + 3*t^4.05 + t^4.13 + t^4.21 + 2*t^4.32 + 2*t^4.4 + t^4.6 + 2*t^4.68 + 3*t^4.75 + 3*t^4.95 + 2*t^5.03 + t^5.11 + t^5.22 + 4*t^5.3 + t^5.57 + 2*t^5.65 + t^5.73 + t^5.84 + t^5.92 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 56051 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7262 | 0.9268 | 0.7836 | [X:[], M:[0.9918, 1.0, 1.1129, 0.6694, 0.7741, 0.6776, 0.7823], q:[0.5606, 0.4476], qb:[0.4394, 0.7782], phi:[0.4435]] | t^2.01 + t^2.03 + t^2.32 + t^2.35 + t^2.66 + t^2.98 + t^3. + t^3.34 + 3*t^4.02 + t^4.04 + t^4.07 + 2*t^4.33 + 3*t^4.36 + t^4.38 + t^4.64 + 2*t^4.67 + 3*t^4.69 + 2*t^4.98 + 3*t^5.01 + t^5.03 + t^5.3 + 3*t^5.32 + 2*t^5.35 + t^5.37 + t^5.66 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7089 | 0.895 | 0.7921 | [X:[], M:[0.9777, 0.9907, 1.1181, 0.6772, 0.7731, 0.6902], q:[0.5749, 0.4474], qb:[0.4345, 0.7795], phi:[0.4409]] | t^2.03 + t^2.07 + t^2.32 + t^2.65 + t^2.93 + t^2.97 + t^3.35 + t^3.64 + t^4.01 + 2*t^4.06 + t^4.1 + t^4.14 + 2*t^4.35 + 2*t^4.39 + t^4.64 + t^4.68 + t^4.72 + t^4.77 + 2*t^4.96 + 2*t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.39 + t^5.42 + 2*t^5.67 + t^5.71 + t^5.87 + t^5.91 + t^5.94 - 2*t^6. - t^4.32/y - t^4.32*y | detail |