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
1767	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.5734	0.743	0.7718	[M:[0.9972, 1.0028, 0.7131, 0.7187], q:[0.5738, 0.9972], qb:[0.429, 0.2841], phi:[0.429]]	[M:[[7], [-7], [3], [-11]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	2*t^2.139 + t^2.156 + 2*t^2.574 + t^2.992 + t^3.008 + t^3.426 + 4*t^4.279 + 2*t^4.295 + t^4.312 + 5*t^4.713 + 2*t^4.73 + 2*t^5.131 + 5*t^5.148 + t^5.164 + 3*t^5.565 + 2*t^5.582 + t^5.983 - t^6. + t^6.017 + 5*t^6.418 + 2*t^6.435 + 2*t^6.451 + t^6.468 + 6*t^6.852 + 4*t^6.869 + 2*t^6.886 + 3*t^7.27 + 8*t^7.287 + 5*t^7.304 + t^7.321 + 4*t^7.705 + 6*t^7.721 + 2*t^7.738 + 2*t^8.122 - 3*t^8.139 + t^8.156 + t^8.173 + 7*t^8.557 - 3*t^8.574 + 3*t^8.591 + 2*t^8.607 + t^8.624 + t^8.975 + 3*t^8.992 - t^4.287/y - t^6.426/y - t^6.443/y - t^6.861/y + t^7.279/y + (2*t^7.295)/y + (5*t^7.713)/y + (2*t^7.73)/y + (3*t^8.131)/y + (5*t^8.148)/y + t^8.164/y + (3*t^8.565)/y + (2*t^8.582)/y - t^8.599/y - t^4.287*y - t^6.426*y - t^6.443*y - t^6.861*y + t^7.279*y + 2*t^7.295*y + 5*t^7.713*y + 2*t^7.73*y + 3*t^8.131*y + 5*t^8.148*y + t^8.164*y + 3*t^8.565*y + 2*t^8.582*y - t^8.599*y	2*g1^3*t^2.139 + t^2.156/g1^11 + (2*t^2.574)/g1^2 + g1^7*t^2.992 + t^3.008/g1^7 + g1^2*t^3.426 + 4*g1^6*t^4.279 + (2*t^4.295)/g1^8 + t^4.312/g1^22 + 5*g1*t^4.713 + (2*t^4.73)/g1^13 + 2*g1^10*t^5.131 + (5*t^5.148)/g1^4 + t^5.164/g1^18 + 3*g1^5*t^5.565 + (2*t^5.582)/g1^9 + g1^14*t^5.983 - t^6. + t^6.017/g1^14 + 5*g1^9*t^6.418 + (2*t^6.435)/g1^5 + (2*t^6.451)/g1^19 + t^6.468/g1^33 + 6*g1^4*t^6.852 + (4*t^6.869)/g1^10 + (2*t^6.886)/g1^24 + 3*g1^13*t^7.27 + (8*t^7.287)/g1 + (5*t^7.304)/g1^15 + t^7.321/g1^29 + 4*g1^8*t^7.705 + (6*t^7.721)/g1^6 + (2*t^7.738)/g1^20 + 2*g1^17*t^8.122 - 3*g1^3*t^8.139 + t^8.156/g1^11 + t^8.173/g1^25 + 7*g1^12*t^8.557 - (3*t^8.574)/g1^2 + (3*t^8.591)/g1^16 + (2*t^8.607)/g1^30 + t^8.624/g1^44 + g1^21*t^8.975 + 3*g1^7*t^8.992 - t^4.287/(g1*y) - (g1^2*t^6.426)/y - t^6.443/(g1^12*y) - t^6.861/(g1^3*y) + (g1^6*t^7.279)/y + (2*t^7.295)/(g1^8*y) + (5*g1*t^7.713)/y + (2*t^7.73)/(g1^13*y) + (3*g1^10*t^8.131)/y + (5*t^8.148)/(g1^4*y) + t^8.164/(g1^18*y) + (3*g1^5*t^8.565)/y + (2*t^8.582)/(g1^9*y) - t^8.599/(g1^23*y) - (t^4.287*y)/g1 - g1^2*t^6.426*y - (t^6.443*y)/g1^12 - (t^6.861*y)/g1^3 + g1^6*t^7.279*y + (2*t^7.295*y)/g1^8 + 5*g1*t^7.713*y + (2*t^7.73*y)/g1^13 + 3*g1^10*t^8.131*y + (5*t^8.148*y)/g1^4 + (t^8.164*y)/g1^18 + 3*g1^5*t^8.565*y + (2*t^8.582*y)/g1^9 - (t^8.599*y)/g1^23

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
2768	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.5751	0.7459	0.771	[M:[0.9677, 1.0323, 0.7004, 0.7651, 0.9677], q:[0.5991, 0.9677], qb:[0.4332, 0.2673], phi:[0.4332]]	2*t^2.101 + t^2.295 + 2*t^2.599 + 2*t^2.903 + t^3.401 + 4*t^4.203 + 2*t^4.396 + t^4.59 + 5*t^4.7 + 2*t^4.894 + 4*t^5.004 + 4*t^5.198 + 5*t^5.502 + 3*t^5.806 - 2*t^6. - t^4.3/y - t^4.3*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
289	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.5538	0.7072	0.783	[M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]]	2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. - t^4.296/y - t^4.296*y	detail