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
198	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$	0.6487	0.7983	0.8127	[M:[0.6881, 0.7271, 0.6881, 1.2729], q:[0.8329, 0.8133], qb:[0.4791, 0.4596], phi:[0.3538]]	[M:[[1, -4, -1], [0, 1, -5], [0, -5, 1], [0, -1, 5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	2*t^2.064 + t^2.123 + t^2.816 + 2*t^3.819 + 3*t^3.877 + 3*t^4.128 + 2*t^4.187 + t^4.245 + 2*t^4.88 + 2*t^4.939 + t^5.632 + 4*t^5.883 + 6*t^5.941 - 2*t^6. - 2*t^6.059 + 4*t^6.193 + 3*t^6.251 + 2*t^6.31 + t^6.368 + 2*t^6.635 + 3*t^6.693 + 3*t^6.944 + 2*t^7.003 - 2*t^7.061 - 2*t^7.12 + 3*t^7.637 + 6*t^7.696 + 3*t^7.755 - 2*t^7.813 + 6*t^7.947 + 9*t^8.006 - 4*t^8.064 - 5*t^8.123 - 2*t^8.181 + 5*t^8.257 + 4*t^8.315 + 3*t^8.374 + 2*t^8.432 + t^8.448 + t^8.491 + 4*t^8.699 + 6*t^8.757 - 3*t^8.816 - 4*t^8.874 - t^4.061/y - (2*t^6.126)/y - t^6.184/y + t^7.128/y + (2*t^7.187)/y + (2*t^7.88)/y + (2*t^7.939)/y + (2*t^7.997)/y - (3*t^8.19)/y - (2*t^8.248)/y - t^8.307/y + (4*t^8.883)/y + (8*t^8.941)/y - t^4.061*y - 2*t^6.126*y - t^6.184*y + t^7.128*y + 2*t^7.187*y + 2*t^7.88*y + 2*t^7.939*y + 2*t^7.997*y - 3*t^8.19*y - 2*t^8.248*y - t^8.307*y + 4*t^8.883*y + 8*t^8.941*y	(g1*t^2.064)/(g2^4*g3) + (g3*t^2.064)/g2^5 + t^2.123/(g2^2*g3^2) + g2^3*g3^3*t^2.816 + g1*g3^3*t^3.819 + (g3^5*t^3.819)/g2 + g1*g2^3*t^3.877 + g2^2*g3^2*t^3.877 + (g2*g3^4*t^3.877)/g1 + (g1*t^4.128)/g2^9 + (g1^2*t^4.128)/(g2^8*g3^2) + (g3^2*t^4.128)/g2^10 + (g1*t^4.187)/(g2^6*g3^3) + t^4.187/(g2^7*g3) + t^4.245/(g2^4*g3^4) + (g1*g3^2*t^4.88)/g2 + (g3^4*t^4.88)/g2^2 + 2*g2*g3*t^4.939 + g2^6*g3^6*t^5.632 + (g1^2*g3^2*t^5.883)/g2^4 + (2*g1*g3^4*t^5.883)/g2^5 + (g3^6*t^5.883)/g2^6 + (g1^2*t^5.941)/(g2*g3) + (2*g1*g3*t^5.941)/g2^2 + (2*g3^3*t^5.941)/g2^3 + (g3^5*t^5.941)/(g1*g2^4) - 2*t^6. - (g2^3*t^6.059)/g3^3 - (g2^2*t^6.059)/(g1*g3) + (g1^3*t^6.193)/(g2^12*g3^3) + (g1^2*t^6.193)/(g2^13*g3) + (g1*g3*t^6.193)/g2^14 + (g3^3*t^6.193)/g2^15 + t^6.251/g2^12 + (g1^2*t^6.251)/(g2^10*g3^4) + (g1*t^6.251)/(g2^11*g3^2) + (g1*t^6.31)/(g2^8*g3^5) + t^6.31/(g2^9*g3^3) + t^6.368/(g2^6*g3^6) + g1*g2^3*g3^6*t^6.635 + g2^2*g3^8*t^6.635 + g1*g2^6*g3^3*t^6.693 + g2^5*g3^5*t^6.693 + (g2^4*g3^7*t^6.693)/g1 + (g1^2*g3*t^6.944)/g2^5 + (g1*g3^3*t^6.944)/g2^6 + (g3^5*t^6.944)/g2^7 + (g1*t^7.003)/g2^3 + (g3^2*t^7.003)/g2^4 - (g1*t^7.061)/g3^3 - (g3*t^7.061)/(g1*g2^2) - (g2^2*t^7.12)/g3^4 - (g2*t^7.12)/(g1*g3^2) + g1^2*g3^6*t^7.637 + (g1*g3^8*t^7.637)/g2 + (g3^10*t^7.637)/g2^2 + g1^2*g2^3*g3^3*t^7.696 + 2*g1*g2^2*g3^5*t^7.696 + 2*g2*g3^7*t^7.696 + (g3^9*t^7.696)/g1 + g1^2*g2^6*t^7.755 + g2^4*g3^4*t^7.755 + (g2^2*g3^8*t^7.755)/g1^2 - g2^7*g3*t^7.813 - (g2^6*g3^3*t^7.813)/g1 + (g1^3*g3*t^7.947)/g2^8 + (2*g1^2*g3^3*t^7.947)/g2^9 + (2*g1*g3^5*t^7.947)/g2^10 + (g3^7*t^7.947)/g2^11 + (2*g1^2*t^8.006)/g2^6 + (g1^3*t^8.006)/(g2^5*g3^2) + (3*g1*g3^2*t^8.006)/g2^7 + (2*g3^4*t^8.006)/g2^8 + (g3^6*t^8.006)/(g1*g2^9) - (2*g1*t^8.064)/(g2^4*g3) - (2*g3*t^8.064)/g2^5 - t^8.123/(g1*g2^3) - (g1*t^8.123)/(g2*g3^4) - (3*t^8.123)/(g2^2*g3^2) - (g2*t^8.181)/g3^5 - t^8.181/(g1*g3^3) + (g1^2*t^8.257)/g2^18 + (g1^4*t^8.257)/(g2^16*g3^4) + (g1^3*t^8.257)/(g2^17*g3^2) + (g1*g3^2*t^8.257)/g2^19 + (g3^4*t^8.257)/g2^20 + (g1^3*t^8.315)/(g2^14*g3^5) + (g1^2*t^8.315)/(g2^15*g3^3) + (g1*t^8.315)/(g2^16*g3) + (g3*t^8.315)/g2^17 + (g1^2*t^8.374)/(g2^12*g3^6) + (g1*t^8.374)/(g2^13*g3^4) + t^8.374/(g2^14*g3^2) + (g1*t^8.432)/(g2^10*g3^7) + t^8.432/(g2^11*g3^5) + g2^9*g3^9*t^8.448 + t^8.491/(g2^8*g3^8) + (g1^2*g3^5*t^8.699)/g2 + (2*g1*g3^7*t^8.699)/g2^2 + (g3^9*t^8.699)/g2^3 + g1^2*g2^2*g3^2*t^8.757 + 2*g1*g2*g3^4*t^8.757 + 2*g3^6*t^8.757 + (g3^8*t^8.757)/(g1*g2) - 3*g2^3*g3^3*t^8.816 - 2*g2^6*t^8.874 - (2*g2^5*g3^2*t^8.874)/g1 - t^4.061/(g2*g3*y) - t^6.126/(g2^6*y) - (g1*t^6.126)/(g2^5*g3^2*y) - t^6.184/(g2^3*g3^3*y) + (g1*t^7.128)/(g2^9*y) + (g1*t^7.187)/(g2^6*g3^3*y) + t^7.187/(g2^7*g3*y) + (g1*g3^2*t^7.88)/(g2*y) + (g3^4*t^7.88)/(g2^2*y) + (2*g2*g3*t^7.939)/y + (g2^3*t^7.997)/(g1*y) + (g2^4*t^7.997)/(g3^2*y) - (g1^2*t^8.19)/(g2^9*g3^3*y) - (g1*t^8.19)/(g2^10*g3*y) - (g3*t^8.19)/(g2^11*y) - (g1*t^8.248)/(g2^7*g3^4*y) - t^8.248/(g2^8*g3^2*y) - t^8.307/(g2^5*g3^5*y) + (g1^2*g3^2*t^8.883)/(g2^4*y) + (2*g1*g3^4*t^8.883)/(g2^5*y) + (g3^6*t^8.883)/(g2^6*y) + (g1^2*t^8.941)/(g2*g3*y) + (3*g1*g3*t^8.941)/(g2^2*y) + (3*g3^3*t^8.941)/(g2^3*y) + (g3^5*t^8.941)/(g1*g2^4*y) - (t^4.061*y)/(g2*g3) - (t^6.126*y)/g2^6 - (g1*t^6.126*y)/(g2^5*g3^2) - (t^6.184*y)/(g2^3*g3^3) + (g1*t^7.128*y)/g2^9 + (g1*t^7.187*y)/(g2^6*g3^3) + (t^7.187*y)/(g2^7*g3) + (g1*g3^2*t^7.88*y)/g2 + (g3^4*t^7.88*y)/g2^2 + 2*g2*g3*t^7.939*y + (g2^3*t^7.997*y)/g1 + (g2^4*t^7.997*y)/g3^2 - (g1^2*t^8.19*y)/(g2^9*g3^3) - (g1*t^8.19*y)/(g2^10*g3) - (g3*t^8.19*y)/g2^11 - (g1*t^8.248*y)/(g2^7*g3^4) - (t^8.248*y)/(g2^8*g3^2) - (t^8.307*y)/(g2^5*g3^5) + (g1^2*g3^2*t^8.883*y)/g2^4 + (2*g1*g3^4*t^8.883*y)/g2^5 + (g3^6*t^8.883*y)/g2^6 + (g1^2*t^8.941*y)/(g2*g3) + (3*g1*g3*t^8.941*y)/g2^2 + (3*g3^3*t^8.941*y)/g2^3 + (g3^5*t^8.941*y)/(g1*g2^4)

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
315	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6692	0.8369	0.7996	[M:[0.6851, 0.7192, 0.6851, 1.2808, 0.7022], q:[0.833, 0.8159], qb:[0.4819, 0.4649], phi:[0.3511]]	2*t^2.055 + 2*t^2.106 + t^2.84 + 2*t^3.842 + 2*t^3.894 + 3*t^4.111 + 4*t^4.162 + 3*t^4.213 + 2*t^4.896 + 3*t^4.947 + t^5.681 + 4*t^5.898 + 6*t^5.949 - t^6. - t^4.053/y - t^4.053*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
120	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.669	0.8353	0.8009	[M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]]	t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y	detail