Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2018	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6359	0.8312	0.7651	[M:[0.9585, 1.1246, 0.9585, 0.8754, 0.7396, 0.8227], q:[0.7396, 0.3019], qb:[0.4377, 0.4377], phi:[0.5208]]	[M:[[4], [-12], [4], [12], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	3*t^2.219 + t^2.468 + t^2.626 + 2*t^2.875 + t^3.374 + t^3.532 + t^3.781 + 3*t^4.189 + 6*t^4.438 + 3*t^4.687 + 3*t^4.845 + t^4.936 + 7*t^5.094 + t^5.253 + 2*t^5.343 + 2*t^5.502 + t^5.593 + 5*t^5.751 + t^5.842 - t^6. + t^6.158 + t^6.249 + 8*t^6.407 + 11*t^6.657 + t^6.747 + 3*t^6.815 + 3*t^6.906 + 10*t^7.064 + 2*t^7.155 + 11*t^7.313 + t^7.404 + 3*t^7.472 + 3*t^7.562 + 8*t^7.721 + 2*t^7.811 + t^7.879 + 11*t^7.97 + t^8.061 + 2*t^8.128 - 6*t^8.219 + t^8.31 + 10*t^8.377 - 5*t^8.468 + 13*t^8.626 + t^8.717 + t^8.785 + 6*t^8.875 + t^8.966 - t^4.562/y - t^6.781/y - t^7.03/y + (2*t^7.438)/y + (4*t^7.687)/y + (3*t^7.845)/y + (8*t^8.094)/y + (3*t^8.343)/y + (2*t^8.502)/y + (3*t^8.593)/y + (4*t^8.751)/y + t^8.842/y - t^4.562*y - t^6.781*y - t^7.03*y + 2*t^7.438*y + 4*t^7.687*y + 3*t^7.845*y + 8*t^8.094*y + 3*t^8.343*y + 2*t^8.502*y + 3*t^8.593*y + 4*t^8.751*y + t^8.842*y	3*g1*t^2.219 + t^2.468/g1^7 + g1^12*t^2.626 + 2*g1^4*t^2.875 + t^3.374/g1^12 + g1^7*t^3.532 + t^3.781/g1 + 3*g1^10*t^4.189 + 6*g1^2*t^4.438 + (3*t^4.687)/g1^6 + 3*g1^13*t^4.845 + t^4.936/g1^14 + 7*g1^5*t^5.094 + g1^24*t^5.253 + (2*t^5.343)/g1^3 + 2*g1^16*t^5.502 + t^5.593/g1^11 + 5*g1^8*t^5.751 + t^5.842/g1^19 - t^6. + g1^19*t^6.158 + t^6.249/g1^8 + 8*g1^11*t^6.407 + 11*g1^3*t^6.657 + t^6.747/g1^24 + 3*g1^22*t^6.815 + (3*t^6.906)/g1^5 + 10*g1^14*t^7.064 + (2*t^7.155)/g1^13 + 11*g1^6*t^7.313 + t^7.404/g1^21 + 3*g1^25*t^7.472 + (3*t^7.562)/g1^2 + 8*g1^17*t^7.721 + (2*t^7.811)/g1^10 + g1^36*t^7.879 + 11*g1^9*t^7.97 + t^8.061/g1^18 + 2*g1^28*t^8.128 - 6*g1*t^8.219 + t^8.31/g1^26 + 10*g1^20*t^8.377 - (5*t^8.468)/g1^7 + 13*g1^12*t^8.626 + t^8.717/g1^15 + g1^31*t^8.785 + 6*g1^4*t^8.875 + t^8.966/g1^23 - t^4.562/(g1^2*y) - t^6.781/(g1*y) - t^7.03/(g1^9*y) + (2*g1^2*t^7.438)/y + (4*t^7.687)/(g1^6*y) + (3*g1^13*t^7.845)/y + (8*g1^5*t^8.094)/y + (3*t^8.343)/(g1^3*y) + (2*g1^16*t^8.502)/y + (3*t^8.593)/(g1^11*y) + (4*g1^8*t^8.751)/y + t^8.842/(g1^19*y) - (t^4.562*y)/g1^2 - (t^6.781*y)/g1 - (t^7.03*y)/g1^9 + 2*g1^2*t^7.438*y + (4*t^7.687*y)/g1^6 + 3*g1^13*t^7.845*y + 8*g1^5*t^8.094*y + (3*t^8.343*y)/g1^3 + 2*g1^16*t^8.502*y + (3*t^8.593*y)/g1^11 + 4*g1^8*t^8.751*y + (t^8.842*y)/g1^19

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
3072	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6351	0.8324	0.7629	[M:[0.9474, 1.1579, 0.9474, 0.8421, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 9*t^5.053 + 4*t^5.368 + 6*t^5.684 + t^6. - t^4.579/y - t^4.579*y	detail	{a: 4356/6859, c: 22839/27436, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
3073	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6515	0.8572	0.76	[M:[0.9664, 1.1008, 0.9664, 0.8992, 0.7416, 0.8088, 0.8088], q:[0.7416, 0.292], qb:[0.4496, 0.4496], phi:[0.5168]]	3*t^2.225 + 2*t^2.426 + t^2.697 + 2*t^2.899 + t^3.303 + t^3.775 + 3*t^4.248 + 6*t^4.45 + 6*t^4.651 + 3*t^4.853 + 3*t^4.922 + 8*t^5.124 + 4*t^5.326 + t^5.395 + t^5.527 + 2*t^5.597 + 2*t^5.729 + 2*t^5.798 - 2*t^6. - t^4.55/y - t^4.55*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
855	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6214	0.8083	0.7688	[M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]]	3*t^2.212 + t^2.546 + 2*t^2.849 + t^3.454 + 2*t^3.485 + t^3.788 + 3*t^4.121 + 6*t^4.424 + 3*t^4.758 + 6*t^5.061 + t^5.091 + 2*t^5.394 + t^5.666 + 8*t^5.697 - 2*t^6. - t^4.576/y - t^4.576*y	detail