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 |
---|---|---|---|---|---|---|---|---|---|
59492 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3185 | 1.581 | 0.834 | [X:[], M:[0.8], q:[0.5333, 0.5333], qb:[0.2667, 0.2667], phi:[0.4]] | [X:[], M:[[0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 2637/2000, c: 1581/1000, M1: 4/5, q1: 8/15, q2: 8/15, qb1: 4/15, qb2: 4/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{3}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 32 | 6*t^2.4 + 6*t^3.6 + 27*t^4.8 + 32*t^6. + 91*t^7.2 + 107*t^8.4 - t^4.2/y - t^5.4/y - (6*t^6.6)/y + (10*t^7.8)/y - t^4.2*y - t^5.4*y - 6*t^6.6*y + 10*t^7.8*y | 2*t^2.4 + (2*t^2.4)/g1 + 2*g1*t^2.4 + (3*t^3.6)/g1 + 3*g1*t^3.6 + 7*t^4.8 + (3*t^4.8)/g1^2 + (7*t^4.8)/g1 + 7*g1*t^4.8 + 3*g1^2*t^4.8 + 6*t^6. + t^6./g1^3 + (5*t^6.)/g1^2 + (7*t^6.)/g1 + 7*g1*t^6. + 5*g1^2*t^6. + g1^3*t^6. + 23*t^7.2 + (4*t^7.2)/g1^3 + (15*t^7.2)/g1^2 + (15*t^7.2)/g1 + 15*g1*t^7.2 + 15*g1^2*t^7.2 + 4*g1^3*t^7.2 + 25*t^8.4 + (2*t^8.4)/g1^4 + (8*t^8.4)/g1^3 + (18*t^8.4)/g1^2 + (13*t^8.4)/g1 + 13*g1*t^8.4 + 18*g1^2*t^8.4 + 8*g1^3*t^8.4 + 2*g1^4*t^8.4 - t^4.2/y - t^5.4/y - (2*t^6.6)/y - (2*t^6.6)/(g1*y) - (2*g1*t^6.6)/y + (4*t^7.8)/y + t^7.8/(g1^2*y) + (2*t^7.8)/(g1*y) + (2*g1*t^7.8)/y + (g1^2*t^7.8)/y - t^4.2*y - t^5.4*y - 2*t^6.6*y - (2*t^6.6*y)/g1 - 2*g1*t^6.6*y + 4*t^7.8*y + (t^7.8*y)/g1^2 + (2*t^7.8*y)/g1 + 2*g1*t^7.8*y + g1^2*t^7.8*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 |
---|---|---|---|---|---|---|---|---|
60956 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3352 | 1.6107 | 0.829 | [X:[], M:[0.8, 0.7923], q:[0.5333, 0.5333], qb:[0.2744, 0.2589], phi:[0.4]] | 3*t^2.38 + 2*t^2.4 + 2*t^2.42 + 3*t^3.58 + 2*t^3.62 + 6*t^4.75 + 9*t^4.78 + 9*t^4.8 + 7*t^4.82 + 3*t^4.85 + t^5.93 + 8*t^5.95 + 7*t^5.98 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57454 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3414 | 1.6039 | 0.8363 | [M:[0.8], q:[0.5888, 0.4225], qb:[0.2944, 0.2944], phi:[0.4]] | 2*t^2.151 + 2*t^2.4 + 2*t^2.649 + 2*t^3.351 + 4*t^3.849 + 3*t^4.301 + 6*t^4.551 + 7*t^4.8 + 8*t^5.049 + 3*t^5.299 + 4*t^5.501 + 4*t^5.751 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |