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 |
---|---|---|---|---|---|---|---|---|---|
55054 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1^2$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.9999, 1.0679, 1.0001, 0.8644, 0.9321, 0.9321, 1.0339], q:[0.4322, 0.5679], qb:[0.4999, 0.5677], phi:[0.4831]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4], [-2, 2]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_6$, $ M_3$, $ M_1$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_4M_6$, $ M_1M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_1M_5$, $ M_1M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_6M_7$ | $M_1^2$, $ M_3^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$ | -1 | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. + 2*t^6.1 - t^6.2 + t^6.3 - t^6.41 + t^6.64 + 3*t^6.84 + 5*t^7.04 + 6*t^7.25 + 6*t^7.45 + 5*t^7.65 + t^7.78 + 3*t^7.86 + 2*t^7.98 + t^8.06 + t^8.08 + 3*t^8.19 + 2*t^8.29 + 2*t^8.39 + 5*t^8.49 - 2*t^8.59 + 5*t^8.69 + t^8.7 - 7*t^8.8 + 8*t^8.9 - t^4.45/y - t^7.04/y - t^7.25/y + t^7.65/y + t^7.86/y + (2*t^8.39)/y + (3*t^8.59)/y + t^8.69/y + (5*t^8.8)/y + (2*t^8.9)/y - t^4.45*y - t^7.04*y - t^7.25*y + t^7.65*y + t^7.86*y + 2*t^8.39*y + 3*t^8.59*y + t^8.69*y + 5*t^8.8*y + 2*t^8.9*y | (g1^16*t^2.59)/g2^8 + (2*g1^12*t^2.8)/g2^4 + t^3./g1^8 + g1^8*t^3. + (g2^2*t^3.1)/g1^2 + g1^4*g2^4*t^3.2 + (g1^17*t^4.04)/g2^9 + (g1^13*t^4.25)/g2^5 + t^4.45/(g1^7*g2) + (2*g1^9*t^4.45)/g2 + (g2^3*t^4.65)/g1^11 + g1^5*g2^3*t^4.65 + (g2^7*t^4.86)/g1^31 + (g2^7*t^4.86)/g1^15 + g1*g2^7*t^4.86 + (g1^32*t^5.19)/g2^16 + (2*g1^28*t^5.39)/g2^12 + (3*g1^24*t^5.59)/g2^8 + (g1^14*t^5.69)/g2^6 + (2*g1^20*t^5.8)/g2^4 + (2*g1^10*t^5.9)/g2^2 - 3*t^6. + 2*g1^16*t^6. + (g2^2*t^6.1)/g1^10 + g1^6*g2^2*t^6.1 - (g2^4*t^6.2)/g1^20 - (g2^4*t^6.2)/g1^4 + g1^12*g2^4*t^6.2 + g1^2*g2^6*t^6.3 - (g2^8*t^6.41)/g1^24 - (g2^8*t^6.41)/g1^8 + g1^8*g2^8*t^6.41 + (g1^33*t^6.64)/g2^17 + (3*g1^29*t^6.84)/g2^13 + (g1^9*t^7.04)/g2^9 + (4*g1^25*t^7.04)/g2^9 + (g1^5*t^7.25)/g2^5 + (5*g1^21*t^7.25)/g2^5 + t^7.45/(g1^15*g2) + (g1*t^7.45)/g2 + (4*g1^17*t^7.45)/g2 + (g2^3*t^7.65)/g1^19 + 4*g1^13*g2^3*t^7.65 + (g1^48*t^7.78)/g2^24 + (g2^7*t^7.86)/g1^39 + 2*g1^9*g2^7*t^7.86 + (2*g1^44*t^7.98)/g2^20 + g1^5*g2^11*t^8.06 + (g1^34*t^8.08)/g2^18 + (3*g1^40*t^8.19)/g2^16 + (2*g1^30*t^8.29)/g2^14 - (2*g1^20*t^8.39)/g2^12 + (4*g1^36*t^8.39)/g2^12 + (g1^10*t^8.49)/g2^10 + (4*g1^26*t^8.49)/g2^10 - (5*g1^16*t^8.59)/g2^8 + (3*g1^32*t^8.59)/g2^8 + (5*g1^22*t^8.69)/g2^6 + (g1^6*t^8.7)/g2^6 - t^8.8/(g1^4*g2^4) - (9*g1^12*t^8.8)/g2^4 + (3*g1^28*t^8.8)/g2^4 + t^8.9/(g1^14*g2^2) + (2*g1^2*t^8.9)/g2^2 + (5*g1^18*t^8.9)/g2^2 - (g1*t^4.45)/(g2*y) - (g1^17*t^7.04)/(g2^9*y) - (g1^13*t^7.25)/(g2^5*y) + (g2^3*t^7.65)/(g1^11*y) + (g2^7*t^7.86)/(g1^15*y) + (2*g1^28*t^8.39)/(g2^12*y) + (g1^8*t^8.59)/(g2^8*y) + (2*g1^24*t^8.59)/(g2^8*y) + (g1^14*t^8.69)/(g2^6*y) + (2*g1^4*t^8.8)/(g2^4*y) + (3*g1^20*t^8.8)/(g2^4*y) + (2*g1^10*t^8.9)/(g2^2*y) - (g1*t^4.45*y)/g2 - (g1^17*t^7.04*y)/g2^9 - (g1^13*t^7.25*y)/g2^5 + (g2^3*t^7.65*y)/g1^11 + (g2^7*t^7.86*y)/g1^15 + (2*g1^28*t^8.39*y)/g2^12 + (g1^8*t^8.59*y)/g2^8 + (2*g1^24*t^8.59*y)/g2^8 + (g1^14*t^8.69*y)/g2^6 + (2*g1^4*t^8.8*y)/g2^4 + (3*g1^20*t^8.8*y)/g2^4 + (2*g1^10*t^8.9*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
56757 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1^2$ + $ M_8\tilde{q}_1\tilde{q}_2$ | 0.7139 | 0.8819 | 0.8095 | [X:[], M:[1.0354, 1.0636, 0.9646, 0.8374, 0.9364, 0.9364, 1.0495, 0.8655], q:[0.4187, 0.5459], qb:[0.5177, 0.6168], phi:[0.4752]] | t^2.51 + t^2.6 + 2*t^2.81 + t^2.89 + t^3.11 + t^3.15 + t^3.94 + t^4.23 + t^4.32 + 2*t^4.53 + t^4.62 + t^4.7 + t^4.83 + t^4.91 + t^5.02 + t^5.11 + t^5.13 + t^5.19 + 2*t^5.32 + 2*t^5.41 + t^5.49 + 3*t^5.62 + t^5.66 + t^5.7 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
47052 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ | 0.708 | 0.8721 | 0.8119 | [X:[], M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | t^2.55 + 2*t^2.78 + t^2.88 + t^2.98 + t^3.02 + t^3.26 + t^3.99 + t^4.22 + t^4.42 + 2*t^4.46 + t^4.66 + t^4.7 + t^4.85 + t^4.89 + t^4.93 + t^5.09 + 2*t^5.33 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.76 + 2*t^5.8 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |