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 |
---|---|---|---|---|---|---|---|---|---|
45043 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2$ | 1.7632 | 1.8463 | 0.955 | [X:[], M:[1.0184, 1.3293], q:[0.5031, 0.4908], qb:[], phi:[0.3354]] | [X:[], M:[[-18], [4]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.98 + t^3.02 + t^3.06 + t^3.48 + t^3.52 + 2*t^3.99 + t^4.02 + t^4.96 + t^4.99 + t^5.03 + t^6.04 + t^6.07 + t^6.11 + t^6.47 + t^6.5 + t^6.54 + t^6.58 + 2*t^6.97 + 3*t^7.01 + 3*t^7.04 + t^7.08 + 2*t^7.47 + 3*t^7.51 + t^7.55 + t^7.94 + 3*t^7.98 + 4*t^8.01 + 2*t^8.05 + t^8.09 + t^8.44 + t^8.48 + t^8.52 + t^8.55 + t^8.94 - t^4.01/y - t^5.48/y - t^5.52/y - t^6.02/y - t^6.99/y - t^7.02/y - t^7.06/y - t^7.49/y - t^7.53/y - t^7.99/y - t^8.03/y - t^8.46/y - t^8.5/y - t^8.53/y - t^8.57/y - t^8.96/y - t^4.01*y - t^5.48*y - t^5.52*y - t^6.02*y - t^6.99*y - t^7.02*y - t^7.06*y - t^7.49*y - t^7.53*y - t^7.99*y - t^8.03*y - t^8.46*y - t^8.5*y - t^8.53*y - t^8.57*y - t^8.96*y | g1^6*t^2.98 + t^3.02/g1^6 + t^3.06/g1^18 + g1^5*t^3.48 + t^3.52/g1^7 + 2*g1^4*t^3.99 + t^4.02/g1^8 + g1^14*t^4.96 + g1^2*t^4.99 + t^5.03/g1^10 + t^6.04/g1^12 + t^6.07/g1^24 + t^6.11/g1^36 + g1^11*t^6.47 + t^6.5/g1 + t^6.54/g1^13 + t^6.58/g1^25 + 2*g1^10*t^6.97 + (3*t^7.01)/g1^2 + (3*t^7.04)/g1^14 + t^7.08/g1^26 + 2*g1^9*t^7.47 + (3*t^7.51)/g1^3 + t^7.55/g1^15 + g1^20*t^7.94 + 3*g1^8*t^7.98 + (4*t^8.01)/g1^4 + (2*t^8.05)/g1^16 + t^8.09/g1^28 + g1^19*t^8.44 + g1^7*t^8.48 + t^8.52/g1^5 + t^8.55/g1^17 + g1^18*t^8.94 - t^4.01/(g1^2*y) - (g1^7*t^5.48)/y - t^5.52/(g1^5*y) - t^6.02/(g1^6*y) - (g1^4*t^6.99)/y - t^7.02/(g1^8*y) - t^7.06/(g1^20*y) - (g1^3*t^7.49)/y - t^7.53/(g1^9*y) - (g1^2*t^7.99)/y - t^8.03/(g1^10*y) - (g1^13*t^8.46)/y - (g1*t^8.5)/y - t^8.53/(g1^11*y) - t^8.57/(g1^23*y) - (g1^12*t^8.96)/y - (t^4.01*y)/g1^2 - g1^7*t^5.48*y - (t^5.52*y)/g1^5 - (t^6.02*y)/g1^6 - g1^4*t^6.99*y - (t^7.02*y)/g1^8 - (t^7.06*y)/g1^20 - g1^3*t^7.49*y - (t^7.53*y)/g1^9 - g1^2*t^7.99*y - (t^8.03*y)/g1^10 - g1^13*t^8.46*y - g1*t^8.5*y - (t^8.53*y)/g1^11 - (t^8.57*y)/g1^23 - g1^12*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
45137 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ | 1.8199 | 1.9547 | 0.9311 | [X:[], M:[1.0371, 0.8189, 0.6749], q:[0.5062, 0.4815], qb:[], phi:[0.3375]] | 2*t^2.02 + t^2.46 + t^2.96 + t^3.04 + t^3.11 + t^3.47 + 4*t^4.05 + 2*t^4.48 + 2*t^4.91 + 3*t^4.99 + 3*t^5.06 + 2*t^5.14 + t^5.42 + 3*t^5.49 + t^5.57 + t^5.93 - t^4.01/y - t^5.46/y - t^5.53/y - t^4.01*y - t^5.46*y - t^5.53*y | detail | |
45193 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3q_1q_2$ | 1.7983 | 1.9125 | 0.9403 | [X:[], M:[1.0145, 0.8277, 1.0048], q:[0.5024, 0.4928], qb:[], phi:[0.3349]] | t^2.01 + t^2.48 + 2*t^3.01 + t^3.04 + t^3.49 + t^3.99 + 2*t^4.02 + t^4.49 + 2*t^4.97 + t^5. + 3*t^5.02 + t^5.05 + 3*t^5.5 + t^5.53 - t^4./y - t^5.48/y - t^5.51/y - t^4.*y - t^5.48*y - t^5.51*y | detail | |
45188 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3q_1^2$ | 1.8007 | 1.9163 | 0.9397 | [X:[], M:[1.0614, 0.8095, 0.9795], q:[0.5102, 0.4693], qb:[], phi:[0.3402]] | t^2.04 + t^2.43 + 2*t^2.94 + t^3.18 + t^3.45 + t^3.96 + 2*t^4.08 + t^4.47 + 2*t^4.86 + 3*t^4.98 + t^5.1 + t^5.22 + 2*t^5.37 + t^5.49 + t^5.61 + 3*t^5.88 - t^4.02/y - t^5.43/y - t^5.55/y - t^4.02*y - t^5.43*y - t^5.55*y | detail | |
45232 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ | 1.767 | 1.8567 | 0.9517 | [X:[1.3043], M:[1.1304, 0.8696], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.74 + t^6. - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 343989/194672, c: 180723/97336, X1: 30/23, M1: 26/23, M2: 20/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
45244 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_2q_1^2$ | 1.7323 | 1.8175 | 0.9531 | [X:[1.2727], M:[1.2727, 0.9091], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 2*t^2.73 + t^3.27 + 4*t^3.82 + 2*t^4.36 + t^4.91 + 3*t^5.45 + t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 36891/21296, c: 19353/10648, X1: 14/11, M1: 14/11, M2: 10/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
45162 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_1$ | 1.792 | 1.896 | 0.9451 | [X:[1.3282], M:[1.0233, 0.8398, 0.8243], q:[0.5039, 0.4883], qb:[], phi:[0.3359]] | t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + 2*t^3.98 + t^4.03 + 2*t^4.95 + 2*t^4.99 + 2*t^5.04 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*y | detail | |
45178 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ | 1.7776 | 1.8725 | 0.9494 | [X:[1.338], M:[0.9792, 0.8275, 0.9931], q:[0.4965, 0.5104], qb:[], phi:[0.331]] | t^2.48 + t^2.94 + 2*t^2.98 + t^3.48 + t^3.97 + 2*t^4.01 + 2*t^4.97 + t^5.01 + t^5.05 + t^5.42 + 2*t^5.46 + t^5.88 + 2*t^5.92 + 3*t^5.96 - t^6. - t^3.99/y - t^5.48/y - t^5.52/y - t^5.98/y - t^3.99*y - t^5.48*y - t^5.52*y - t^5.98*y | detail | |
45252 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ | 1.7778 | 1.8713 | 0.9501 | [X:[1.3273], M:[1.0271, 0.8409, 0.991], q:[0.5045, 0.4864], qb:[], phi:[0.3363]] | t^2.52 + 2*t^2.97 + t^3.08 + t^3.53 + 2*t^3.98 + t^4.04 + t^4.94 + t^4.99 + 2*t^5.05 + 2*t^5.5 + t^5.6 + 2*t^5.95 - t^6. - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
44940 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ | 1.7841 | 1.8877 | 0.9451 | [X:[], M:[1.018], q:[0.503, 0.491], qb:[], phi:[0.3353]] | t^2.01 + t^2.98 + t^3.02 + t^3.05 + t^3.49 + t^3.52 + t^3.99 + 2*t^4.02 + t^4.96 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.5 + t^5.53 + t^6. - t^4.01/y - t^5.48/y - t^5.51/y - t^4.01*y - t^5.48*y - t^5.51*y | detail |