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 |
|---|---|---|---|---|---|---|---|---|---|
| 50965 | 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}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ | 0.622 | 0.7618 | 0.8165 | [X:[], M:[1.1452, 0.7178, 0.8548, 0.8091, 1.2365, 0.7178, 1.1909], q:[0.4046, 0.4502], qb:[0.8777, 0.7406], phi:[0.3817]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [6, 8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ M_7$, $ M_5$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_3M_6$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1q_1^2$, $ M_6M_7$, $ M_2M_7$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_2M_5$ | . | -2 | 2*t^2.15 + t^2.56 + t^3.44 + 2*t^3.57 + 2*t^3.71 + t^3.98 + 3*t^4.31 + 2*t^4.72 + t^4.85 + t^5.13 + 2*t^5.59 + 3*t^5.73 + 2*t^5.86 - 2*t^6. + 2*t^6.14 + t^6.27 + 4*t^6.46 + t^6.55 + 3*t^6.87 + 2*t^7.01 + 2*t^7.15 + 2*t^7.28 + t^7.42 + 2*t^7.69 + 3*t^7.74 + 4*t^7.88 + t^7.97 + 2*t^8.02 - 4*t^8.15 + 3*t^8.29 - 2*t^8.56 + 5*t^8.61 + t^8.84 - t^4.15/y - (2*t^6.3)/y + t^7.31/y + (2*t^7.72)/y + (2*t^7.99)/y - (3*t^8.45)/y + (2*t^8.59)/y + (4*t^8.73)/y + (4*t^8.86)/y - t^4.15*y - 2*t^6.3*y + t^7.31*y + 2*t^7.72*y + 2*t^7.99*y - 3*t^8.45*y + 2*t^8.59*y + 4*t^8.73*y + 4*t^8.86*y | t^2.15/(g1^11*g2^13) + g1^2*g2^4*t^2.15 + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + t^3.57/(g1^7*g2^9) + g1^6*g2^8*t^3.57 + 2*g1^2*g2^2*t^3.71 + g1^7*g2^7*t^3.98 + t^4.31/(g1^22*g2^26) + t^4.31/(g1^9*g2^9) + g1^4*g2^8*t^4.31 + t^4.72/(g1^8*g2^10) + g1^5*g2^7*t^4.72 + g1*g2*t^4.85 + g1^6*g2^6*t^5.13 + t^5.59/(g1^14*g2^16) + (g2*t^5.59)/g1 + t^5.73/(g1^18*g2^22) + t^5.73/(g1^5*g2^5) + g1^8*g2^12*t^5.73 + t^5.86/(g1^9*g2^11) + g1^4*g2^6*t^5.86 - 2*t^6. + t^6.14/(g1^4*g2^6) + g1^9*g2^11*t^6.14 + g1^5*g2^5*t^6.27 + t^6.46/(g1^33*g2^39) + t^6.46/(g1^20*g2^22) + t^6.46/(g1^7*g2^5) + g1^6*g2^12*t^6.46 + g1^10*g2^10*t^6.55 + t^6.87/(g1^19*g2^23) + t^6.87/(g1^6*g2^6) + g1^7*g2^11*t^6.87 + t^7.01/(g1^10*g2^12) + g1^3*g2^5*t^7.01 + t^7.15/(g1^14*g2^18) + g1^12*g2^16*t^7.15 + t^7.28/(g1^5*g2^7) + g1^8*g2^10*t^7.28 + g1^4*g2^4*t^7.42 + 2*g1^9*g2^9*t^7.69 + t^7.74/(g1^25*g2^29) + t^7.74/(g1^12*g2^12) + g1*g2^5*t^7.74 + t^7.88/(g1^29*g2^35) + t^7.88/(g1^16*g2^18) + t^7.88/(g1^3*g2) + g1^10*g2^16*t^7.88 + g1^14*g2^14*t^7.97 + t^8.02/(g1^20*g2^24) + g1^6*g2^10*t^8.02 - (2*t^8.15)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.15 + t^8.29/(g1^15*g2^19) + t^8.29/(g1^2*g2^2) + g1^11*g2^15*t^8.29 - 2*g1^3*g2^3*t^8.56 + t^8.61/(g1^44*g2^52) + t^8.61/(g1^31*g2^35) + t^8.61/(g1^18*g2^18) + t^8.61/(g1^5*g2) + g1^8*g2^16*t^8.61 + g1^8*g2^8*t^8.84 - t^4.15/(g1*g2*y) - t^6.3/(g1^12*g2^14*y) - (g1*g2^3*t^6.3)/y + t^7.31/(g1^9*g2^9*y) + t^7.72/(g1^8*g2^10*y) + (g1^5*g2^7*t^7.72)/y + t^7.99/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.99)/y - t^8.45/(g1^23*g2^27*y) - t^8.45/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.45)/y + t^8.59/(g1^14*g2^16*y) + (g2*t^8.59)/(g1*y) + t^8.73/(g1^18*g2^22*y) + (2*t^8.73)/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.73)/y + (2*t^8.86)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.86)/y - (t^4.15*y)/(g1*g2) - (t^6.3*y)/(g1^12*g2^14) - g1*g2^3*t^6.3*y + (t^7.31*y)/(g1^9*g2^9) + (t^7.72*y)/(g1^8*g2^10) + g1^5*g2^7*t^7.72*y + (t^7.99*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.99*y - (t^8.45*y)/(g1^23*g2^27) - (t^8.45*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.45*y + (t^8.59*y)/(g1^14*g2^16) + (g2*t^8.59*y)/g1 + (t^8.73*y)/(g1^18*g2^22) + (2*t^8.73*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.73*y + (2*t^8.86*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 56274 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_1M_8$ | 0.6353 | 0.7844 | 0.8099 | [X:[], M:[1.1579, 0.7368, 0.8421, 0.807, 1.2281, 0.7368, 1.193, 0.8421], q:[0.4035, 0.4386], qb:[0.8596, 0.7544], phi:[0.386]] | 2*t^2.21 + 2*t^2.53 + 2*t^3.58 + 2*t^3.68 + t^3.89 + 3*t^4.42 + 4*t^4.74 + t^4.84 + 3*t^5.05 + 3*t^5.79 + 2*t^5.89 - 3*t^6. - t^4.16/y - t^4.16*y | detail | {a: 688/1083, c: 1699/2166, M1: 22/19, M2: 14/19, M3: 16/19, M4: 46/57, M5: 70/57, M6: 14/19, M7: 68/57, M8: 16/19, q1: 23/57, q2: 25/57, qb1: 49/57, qb2: 43/57, phi1: 22/57} |
| 56184 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_8q_2\tilde{q}_1$ | 0.6429 | 0.8033 | 0.8003 | [X:[], M:[1.1444, 0.7166, 0.8556, 0.8093, 1.2371, 0.7166, 1.1907, 0.6702], q:[0.4046, 0.451], qb:[0.8788, 0.7397], phi:[0.3815]] | t^2.01 + 2*t^2.15 + t^2.57 + t^3.43 + 2*t^3.57 + 2*t^3.71 + t^4.02 + 2*t^4.16 + 3*t^4.3 + t^4.58 + 2*t^4.72 + t^4.86 + t^5.13 + t^5.44 + 4*t^5.58 + 5*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47025 | 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}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[], M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |