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 |
---|---|---|---|---|---|---|---|---|---|
5961 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.685 | 0.9397 | 0.7289 | [X:[], M:[0.9237, 1.2288, 0.9237, 0.7712, 0.7712, 0.6906, 0.8432, 0.7712, 0.6906], q:[0.7309, 0.3453], qb:[0.3453, 0.4259], phi:[0.5381]] | [X:[], M:[[4], [-12], [4], [12], [12], [-10], [-18], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_9$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ M_8$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_9$, $ M_9^2$, $ M_6q_2\tilde{q}_1$, $ M_9q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_6M_8$, $ M_4M_9$, $ M_5M_9$, $ M_8M_9$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_9q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_7M_9$, $ M_7q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_8$, $ M_5M_8$, $ M_8^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ M_5M_7$, $ M_7M_8$, $ M_1M_9$, $ M_3M_9$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_1M_8$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_7$, $ M_6q_1\tilde{q}_1$, $ M_9q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ M_9\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$ | -1 | 3*t^2.07 + 4*t^2.31 + t^2.53 + 2*t^2.77 + t^3.23 + t^3.69 + 6*t^4.14 + t^4.17 + 12*t^4.39 + 3*t^4.6 + 10*t^4.63 + 10*t^4.84 + t^5.06 + 8*t^5.08 + 5*t^5.3 + 6*t^5.54 + 2*t^5.76 - t^6. + 11*t^6.22 + 22*t^6.46 + 4*t^6.48 + 6*t^6.67 + 28*t^6.7 + 22*t^6.92 + 21*t^6.94 + 3*t^7.13 + 28*t^7.16 + 14*t^7.37 + 19*t^7.4 + t^7.59 + 18*t^7.61 + 5*t^7.83 + 13*t^7.86 - 5*t^8.07 + 17*t^8.29 - 11*t^8.31 + t^8.34 + 29*t^8.53 + 11*t^8.75 + 33*t^8.77 + 10*t^8.8 + 35*t^8.99 - t^4.61/y - (2*t^6.69)/y - (2*t^6.93)/y + (2*t^7.14)/y + (11*t^7.39)/y + (3*t^7.6)/y + (6*t^7.63)/y + (11*t^7.84)/y + (9*t^8.08)/y + (7*t^8.3)/y + (7*t^8.54)/y + t^8.76/y - t^4.61*y - 2*t^6.69*y - 2*t^6.93*y + 2*t^7.14*y + 11*t^7.39*y + 3*t^7.6*y + 6*t^7.63*y + 11*t^7.84*y + 9*t^8.08*y + 7*t^8.3*y + 7*t^8.54*y + t^8.76*y | (3*t^2.07)/g1^10 + 4*g1^12*t^2.31 + t^2.53/g1^18 + 2*g1^4*t^2.77 + t^3.23/g1^4 + t^3.69/g1^12 + (6*t^4.14)/g1^20 + g1^32*t^4.17 + 12*g1^2*t^4.39 + (3*t^4.6)/g1^28 + 10*g1^24*t^4.63 + (10*t^4.84)/g1^6 + t^5.06/g1^36 + 8*g1^16*t^5.08 + (5*t^5.3)/g1^14 + 6*g1^8*t^5.54 + (2*t^5.76)/g1^22 - t^6. + (11*t^6.22)/g1^30 + (22*t^6.46)/g1^8 + 4*g1^44*t^6.48 + (6*t^6.67)/g1^38 + 28*g1^14*t^6.7 + (22*t^6.92)/g1^16 + 21*g1^36*t^6.94 + (3*t^7.13)/g1^46 + 28*g1^6*t^7.16 + (14*t^7.37)/g1^24 + 19*g1^28*t^7.4 + t^7.59/g1^54 + (18*t^7.61)/g1^2 + (5*t^7.83)/g1^32 + 13*g1^20*t^7.86 - (5*t^8.07)/g1^10 + (17*t^8.29)/g1^40 - 11*g1^12*t^8.31 + g1^64*t^8.34 + (29*t^8.53)/g1^18 + (11*t^8.75)/g1^48 + 33*g1^4*t^8.77 + 10*g1^56*t^8.8 + (35*t^8.99)/g1^26 - t^4.61/(g1^2*y) - (2*t^6.69)/(g1^12*y) - (2*g1^10*t^6.93)/y + (2*t^7.14)/(g1^20*y) + (11*g1^2*t^7.39)/y + (3*t^7.6)/(g1^28*y) + (6*g1^24*t^7.63)/y + (11*t^7.84)/(g1^6*y) + (9*g1^16*t^8.08)/y + (7*t^8.3)/(g1^14*y) + (7*g1^8*t^8.54)/y + t^8.76/(g1^22*y) - (t^4.61*y)/g1^2 - (2*t^6.69*y)/g1^12 - 2*g1^10*t^6.93*y + (2*t^7.14*y)/g1^20 + 11*g1^2*t^7.39*y + (3*t^7.6*y)/g1^28 + 6*g1^24*t^7.63*y + (11*t^7.84*y)/g1^6 + 9*g1^16*t^8.08*y + (7*t^8.3*y)/g1^14 + 7*g1^8*t^8.54*y + (t^8.76*y)/g1^22 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
4458 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6643 | 0.8999 | 0.7382 | [X:[], M:[0.9232, 1.2304, 0.9232, 0.7696, 0.7696, 0.692, 0.8457, 0.7696], q:[0.7308, 0.346], qb:[0.346, 0.4235], phi:[0.5384]] | 2*t^2.08 + 4*t^2.31 + t^2.54 + 2*t^2.77 + t^3.23 + t^3.69 + t^3.92 + 3*t^4.15 + t^4.16 + 8*t^4.38 + 2*t^4.61 + 10*t^4.62 + 8*t^4.85 + t^5.07 + 8*t^5.08 + 4*t^5.31 + 6*t^5.54 + t^5.77 + t^6. - t^4.62/y - t^4.62*y | detail |