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
47895	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$	1.2917	1.4583	0.8857	[X:[1.3333, 1.3333], q:[0.6667, 0.3333], qb:[0.3333, 0.6667], phi:[0.3333]]	[X:[[0, 0], [0, 0]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 31/24, c: 35/24, X1: 4/3, X2: 4/3, q1: 2/3, q2: 1/3, qb1: 1/3, qb2: 2/3, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	11	4*t^3. + 6*t^4. + 3*t^5. + 11*t^6. + 16*t^7. + 18*t^8. - t^4./y - t^5./y - (3*t^7.)/y - (6*t^8.)/y - t^4.*y - t^5.*y - 3*t^7.*y - 6*t^8.*y	2*t^3. + (g1*t^3.)/g2 + (g2*t^3.)/g1 + 4*t^4. + (g1*t^4.)/g2 + (g2*t^4.)/g1 + t^5. + t^5./(g1^2*g2) + g1^2*g2*t^5. + t^6. + t^6./g1^3 + g1^3*t^6. + t^6./(g1*g2^2) + (g1^2*t^6.)/g2^2 + t^6./(g1^2*g2) + (g1*t^6.)/g2 + (g2*t^6.)/g1 + g1^2*g2*t^6. + (g2^2*t^6.)/g1^2 + g1*g2^2*t^6. + 6*t^7. + (g1^2*t^7.)/g2^2 + (4*g1*t^7.)/g2 + (4*g2*t^7.)/g1 + (g2^2*t^7.)/g1^2 + 10*t^8. + (g1^2*t^8.)/g2^2 + (3*g1*t^8.)/g2 + (3*g2*t^8.)/g1 + (g2^2*t^8.)/g1^2 - t^4./y - t^5./y - t^7./y - (g1*t^7.)/(g2*y) - (g2*t^7.)/(g1*y) - (4*t^8.)/y - (g1*t^8.)/(g2*y) - (g2*t^8.)/(g1*y) - t^4.*y - t^5.*y - t^7.*y - (g1*t^7.*y)/g2 - (g2*t^7.*y)/g1 - 4*t^8.*y - (g1*t^8.*y)/g2 - (g2*t^8.*y)/g1

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
57403	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.2936	1.4628	0.8843	[X:[1.3333, 1.3333], M:[0.959], q:[0.694, 0.3197], qb:[0.347, 0.6393], phi:[0.3333]]	2*t^2.877 + 2*t^3. + t^3.877 + 4*t^4. + t^4.123 + 3*t^5. + 3*t^5.754 + 5*t^5.877 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
57399	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.2292	1.3958	0.8806	[X:[1.3333, 1.3333], q:[0.7778, 0.4444], qb:[0.2222, 0.5556], phi:[0.3333]]	4*t^3. + 7*t^4. + 4*t^5. + 6*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 59/48, c: 67/48, X1: 4/3, X2: 4/3, q1: 7/9, q2: 4/9, qb1: 2/9, qb2: 5/9, phi1: 1/3}
57400	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{3}$	1.1458	1.2917	0.8871	[X:[1.3333, 1.3333, 1.3333], q:[0.8889, 0.2222], qb:[0.4444, 0.4444], phi:[0.3333]]	3*t^3. + 6*t^4. + 5*t^5. + 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 55/48, c: 31/24, X1: 4/3, X2: 4/3, X3: 4/3, q1: 8/9, q2: 2/9, qb1: 4/9, qb2: 4/9, phi1: 1/3}

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
47869	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4531	1.6406	0.8857	[X:[1.3333], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.3333]]	5*t^3. + 5*t^4. + 4*t^5. + 4*t^5.5 + 7*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 93/64, c: 105/64, X1: 4/3, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/3}