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
58629	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.4613	1.6638	0.8783	[X:[1.345], M:[0.6725, 1.0174], q:[0.5729, 0.5267], qb:[0.4733, 0.462], phi:[0.3275]]	[X:[[0, 2]], M:[[0, 1], [0, 3]], q:[[-1, 6], [2, -11]], qb:[[-2, 11], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.02 + t^2.97 + t^3. + t^3.05 + t^3.1 + t^3.14 + t^3.95 + 2*t^4.03 + t^4.09 + t^4.12 + t^4.93 + t^4.97 + t^4.98 + t^5.02 + 2*t^5.07 + t^5.1 + t^5.12 + t^5.16 + t^5.17 + t^5.21 + t^5.93 + t^5.97 - 2*t^6. + t^6.02 - t^6.03 + 3*t^6.05 + t^6.07 + 4*t^6.1 + t^6.14 + 2*t^6.16 + 2*t^6.19 + t^6.21 + t^6.24 + t^6.28 + t^6.92 + t^6.95 - t^6.98 + 3*t^7. - t^7.02 + 2*t^7.03 + 2*t^7.05 + 5*t^7.09 + t^7.11 + t^7.12 + 4*t^7.14 + 4*t^7.17 + 2*t^7.19 + t^7.21 + 2*t^7.23 + t^7.26 + t^7.69 - t^7.88 + 2*t^7.9 - t^7.91 + t^7.93 + t^7.95 + 2*t^7.98 - t^8. - 2*t^8.02 + 3*t^8.04 - t^8.05 + 6*t^8.07 + t^8.09 + t^8.1 + 5*t^8.12 + t^8.14 + 2*t^8.16 + 5*t^8.17 + 4*t^8.21 + 2*t^8.23 + t^8.24 + 2*t^8.26 + t^8.28 + t^8.29 + 2*t^8.31 + t^8.35 - t^8.72 - t^8.76 - t^8.86 + t^8.88 + t^8.91 + t^8.93 + t^8.95 - 2*t^8.97 + t^8.98 + t^8.95/y^2 - t^3.98/y - t^4.97/y - t^6./y - t^6.95/y - (2*t^6.98)/y - t^7.03/y - t^7.09/y - t^7.12/y - t^7.93/y + t^7.98/y - t^8.02/y - t^8.1/y + t^8.12/y + t^8.16/y - t^8.91/y + t^8.97/y - t^3.98*y - t^4.97*y - t^6.*y - t^6.95*y - 2*t^6.98*y - t^7.03*y - t^7.09*y - t^7.12*y - t^7.93*y + t^7.98*y - t^8.02*y - t^8.1*y + t^8.12*y + t^8.16*y - t^8.91*y + t^8.97*y + t^8.95*y^2	g2*t^2.02 + (g1^3*t^2.97)/g2^11 + t^3. + g2^3*t^3.05 + g2^6*t^3.1 + (g2^17*t^3.14)/g1^3 + (g1^3*t^3.95)/g2^12 + 2*g2^2*t^4.03 + g2^5*t^4.09 + (g2^16*t^4.12)/g1^3 + (g1^3*t^4.93)/g2^13 + t^4.97/g2^2 + (g1^3*t^4.98)/g2^10 + g2*t^5.02 + 2*g2^4*t^5.07 + (g2^15*t^5.1)/g1^3 + g2^7*t^5.12 + (g2^18*t^5.16)/g1^3 + g2^10*t^5.17 + (g2^21*t^5.21)/g1^3 + (g1^6*t^5.93)/g2^22 + (g1^3*t^5.97)/g2^11 - 2*t^6. + (g1^3*t^6.02)/g2^8 - (g2^11*t^6.03)/g1^3 + 3*g2^3*t^6.05 + (g1^3*t^6.07)/g2^5 + 4*g2^6*t^6.1 + (g2^17*t^6.14)/g1^3 + 2*g2^9*t^6.16 + (2*g2^20*t^6.19)/g1^3 + g2^12*t^6.21 + (g2^23*t^6.24)/g1^3 + (g2^34*t^6.28)/g1^6 + (g1^6*t^6.92)/g2^23 + (g1^3*t^6.95)/g2^12 - t^6.98/g2 + (3*g1^3*t^7.)/g2^9 - (g2^10*t^7.02)/g1^3 + 2*g2^2*t^7.03 + (2*g1^3*t^7.05)/g2^6 + 5*g2^5*t^7.09 + (g1^3*t^7.11)/g2^3 + (g2^16*t^7.12)/g1^3 + 4*g2^8*t^7.14 + (4*g2^19*t^7.17)/g1^3 + 2*g2^11*t^7.19 + (g2^30*t^7.21)/g1^6 + (2*g2^22*t^7.23)/g1^3 + (g2^33*t^7.26)/g1^6 + (g1^6*t^7.69)/g2^36 - (g1^3*t^7.88)/g2^16 + (2*g1^6*t^7.9)/g2^24 - t^7.91/g2^5 + (g1^3*t^7.93)/g2^13 + (g1^6*t^7.95)/g2^21 + (2*g1^3*t^7.98)/g2^10 - (g2^9*t^8.)/g1^3 - 2*g2*t^8.02 + (3*g1^3*t^8.04)/g2^7 - (g2^12*t^8.05)/g1^3 + 6*g2^4*t^8.07 + (g1^3*t^8.09)/g2^4 + (g2^15*t^8.1)/g1^3 + 5*g2^7*t^8.12 + (g1^3*t^8.14)/g2 + (2*g2^18*t^8.16)/g1^3 + 5*g2^10*t^8.17 + (4*g2^21*t^8.21)/g1^3 + 2*g2^13*t^8.23 + (g2^32*t^8.24)/g1^6 + (2*g2^24*t^8.26)/g1^3 + g2^16*t^8.28 + (g2^35*t^8.29)/g1^6 + (2*g2^27*t^8.31)/g1^3 + (g2^38*t^8.35)/g1^6 - (g1^6*t^8.72)/g2^34 - (g1^3*t^8.76)/g2^23 - (g1^3*t^8.86)/g2^17 + (g1^6*t^8.88)/g2^25 + (g1^9*t^8.9)/g2^33 - t^8.9/g2^6 + (g1^3*t^8.91)/g2^14 + (g1^6*t^8.93)/g2^22 + t^8.95/g2^3 - (2*g1^3*t^8.97)/g2^11 + (g1^6*t^8.98)/g2^19 + t^8.95/(g2^3*y^2) - t^3.98/(g2*y) - t^4.97/(g2^2*y) - t^6./y - (g1^3*t^6.95)/(g2^12*y) - (2*t^6.98)/(g2*y) - (g2^2*t^7.03)/y - (g2^5*t^7.09)/y - (g2^16*t^7.12)/(g1^3*y) - (g1^3*t^7.93)/(g2^13*y) + (g1^3*t^7.98)/(g2^10*y) - (g2*t^8.02)/y - (g2^15*t^8.1)/(g1^3*y) + (g2^7*t^8.12)/y + (g2^18*t^8.16)/(g1^3*y) - (g1^3*t^8.91)/(g2^14*y) + (g1^3*t^8.97)/(g2^11*y) - (t^3.98*y)/g2 - (t^4.97*y)/g2^2 - t^6.*y - (g1^3*t^6.95*y)/g2^12 - (2*t^6.98*y)/g2 - g2^2*t^7.03*y - g2^5*t^7.09*y - (g2^16*t^7.12*y)/g1^3 - (g1^3*t^7.93*y)/g2^13 + (g1^3*t^7.98*y)/g2^10 - g2*t^8.02*y - (g2^15*t^8.1*y)/g1^3 + g2^7*t^8.12*y + (g2^18*t^8.16*y)/g1^3 - (g1^3*t^8.91*y)/g2^14 + (g1^3*t^8.97*y)/g2^11 + (t^8.95*y^2)/g2^3

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
61128	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.3977	1.5584	0.8969	[X:[1.4286], M:[0.7143, 1.1429], q:[0.6126, 0.4892], qb:[0.5108, 0.6732], phi:[0.2857]]	t^2.14 + t^3. + t^3.37 + t^3.43 + t^3.49 + t^3.86 + t^4.23 + 2*t^4.29 + t^4.34 + 2*t^4.71 + t^5.08 + t^5.14 + t^5.2 + 2*t^5.57 + t^5.63 + t^5.94 - t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y	detail	{a: 675027/482944, c: 752643/482944, X1: 10/7, M1: 5/7, M2: 8/7, q1: 283/462, q2: 113/231, qb1: 118/231, qb2: 311/462, phi1: 2/7}
61156	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4325	1.6075	0.8911	[X:[1.4], M:[0.7, 1.1], q:[0.6, 0.5], qb:[0.5, 0.6], phi:[0.3]]	t^2.1 + t^3. + 3*t^3.3 + t^3.6 + 4*t^4.2 + t^4.5 + t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^6. - t^3.9/y - t^4.8/y - t^6./y - t^3.9*y - t^4.8*y - t^6.*y	detail	{a: 573/400, c: 643/400, X1: 7/5, M1: 7/10, M2: 11/10, q1: 3/5, q2: 1/2, qb1: 1/2, qb2: 3/5, phi1: 3/10}
61098	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	1.4612	1.6627	0.8788	[X:[1.3469], M:[0.6735, 1.0204], q:[0.5714, 0.5306], qb:[0.4694, 0.4694], phi:[0.3265]]	t^2.02 + 2*t^3. + t^3.06 + 2*t^3.12 + t^3.98 + 2*t^4.04 + 2*t^4.1 + 2*t^4.96 + 2*t^5.02 + 3*t^5.08 + 2*t^5.14 + 2*t^5.2 - t^6. - t^3.98/y - t^4.96/y - t^6./y - t^3.98*y - t^4.96*y - t^6.*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
57572	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4615	1.6651	0.8777	[X:[1.3411], M:[0.685, 1.0116], q:[0.5755, 0.5196], qb:[0.4659, 0.4622], phi:[0.3295]]	t^2.06 + t^2.95 + t^2.96 + t^3.03 + t^3.11 + t^3.12 + t^3.93 + t^4.02 + t^4.1 + 2*t^4.11 + t^4.92 + t^4.93 + t^5. + t^5.01 + 2*t^5.09 + t^5.1 + t^5.16 + 2*t^5.17 + t^5.18 + t^5.89 + t^5.9 + t^5.91 + t^5.98 + t^5.99 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y	detail