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 |
|---|---|---|---|---|---|---|---|---|---|
| 47123 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6487 | 0.8083 | 0.8026 | [X:[], M:[0.8266, 0.7934, 1.2066, 0.8598, 0.8266], q:[0.7601, 0.4133], qb:[0.7934, 0.3801], phi:[0.4133]] | [X:[], M:[[-4], [1], [-1], [-9], [-4]], q:[[6], [-2]], qb:[[1], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_2M_4$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ \phi_1q_1^2$ | $M_2\phi_1q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$ | 1 | t^2.38 + 3*t^2.48 + t^2.58 + t^3.52 + 2*t^3.62 + t^3.72 + 2*t^4.66 + 2*t^4.76 + 2*t^4.86 + 6*t^4.96 + 3*t^5.06 + t^5.16 + t^5.8 + t^6. + 4*t^6.1 + 4*t^6.2 + t^6.3 - t^7.04 + 3*t^7.14 + 5*t^7.24 + 5*t^7.34 + 11*t^7.44 + 6*t^7.54 + 3*t^7.64 + t^7.74 + 2*t^8.28 - 2*t^8.38 - 2*t^8.48 + 3*t^8.58 + 6*t^8.68 + 4*t^8.78 + t^8.88 - t^4.24/y - (3*t^6.72)/y - t^6.82/y + t^7.66/y + (3*t^7.76)/y + (3*t^7.86)/y + (4*t^7.96)/y + (3*t^8.06)/y + t^8.9/y - t^4.24*y - 3*t^6.72*y - t^6.82*y + t^7.66*y + 3*t^7.76*y + 3*t^7.86*y + 4*t^7.96*y + 3*t^8.06*y + t^8.9*y | g1*t^2.38 + (3*t^2.48)/g1^4 + t^2.58/g1^9 + g1^4*t^3.52 + (2*t^3.62)/g1 + t^3.72/g1^6 + 2*g1^7*t^4.66 + 2*g1^2*t^4.76 + (2*t^4.86)/g1^3 + (6*t^4.96)/g1^8 + (3*t^5.06)/g1^13 + t^5.16/g1^18 + g1^10*t^5.8 + t^6. + (4*t^6.1)/g1^5 + (4*t^6.2)/g1^10 + t^6.3/g1^15 - g1^8*t^7.04 + 3*g1^3*t^7.14 + (5*t^7.24)/g1^2 + (5*t^7.34)/g1^7 + (11*t^7.44)/g1^12 + (6*t^7.54)/g1^17 + (3*t^7.64)/g1^22 + t^7.74/g1^27 + 2*g1^6*t^8.28 - 2*g1*t^8.38 - (2*t^8.48)/g1^4 + (3*t^8.58)/g1^9 + (6*t^8.68)/g1^14 + (4*t^8.78)/g1^19 + t^8.88/g1^24 - t^4.24/(g1^2*y) - (3*t^6.72)/(g1^6*y) - t^6.82/(g1^11*y) + (g1^7*t^7.66)/y + (3*g1^2*t^7.76)/y + (3*t^7.86)/(g1^3*y) + (4*t^7.96)/(g1^8*y) + (3*t^8.06)/(g1^13*y) + (g1^5*t^8.9)/y - (t^4.24*y)/g1^2 - (3*t^6.72*y)/g1^6 - (t^6.82*y)/g1^11 + g1^7*t^7.66*y + 3*g1^2*t^7.76*y + (3*t^7.86*y)/g1^3 + (4*t^7.96*y)/g1^8 + (3*t^8.06*y)/g1^13 + g1^5*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 54439 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ | 0.6221 | 0.7711 | 0.8067 | [X:[], M:[0.9231, 0.7692, 1.2308, 1.0769, 0.9231], q:[0.6154, 0.4615], qb:[0.7692, 0.3077], phi:[0.4615]] | t^2.31 + 3*t^2.77 + 2*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 3*t^5.08 + 6*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 21867/35152, c: 13553/17576, M1: 12/13, M2: 10/13, M3: 16/13, M4: 14/13, M5: 12/13, q1: 8/13, q2: 6/13, qb1: 10/13, qb2: 4/13, phi1: 6/13} |
| 55561 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ | 0.6373 | 0.7901 | 0.8066 | [X:[], M:[0.8889, 0.7778, 1.2222, 1.0, 0.8889], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | t^2.33 + 3*t^2.67 + t^3. + t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5. + 7*t^5.33 + 3*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 413/648, c: 64/81, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, M5: 8/9, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46718 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ | 0.6343 | 0.7825 | 0.8106 | [X:[], M:[0.8386, 0.7904, 1.2096, 0.8867], q:[0.7422, 0.4193], qb:[0.7904, 0.3711], phi:[0.4193]] | t^2.37 + 2*t^2.52 + t^2.66 + 2*t^3.48 + 2*t^3.63 + t^3.77 + 2*t^4.6 + 2*t^4.74 + t^4.89 + 3*t^5.03 + 2*t^5.18 + t^5.32 + t^5.71 + t^5.86 + 2*t^6. - t^4.26/y - t^4.26*y | detail |