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
57736	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.0934	1.1836	0.9237	[X:[1.5556, 1.3333], M:[0.8889], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]]	[X:[[0, 0], [0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 1417/1296, c: 767/648, X1: 14/9, X2: 4/3, M1: 8/9, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	-1	2*t^2.67 + 4*t^4. + t^4.67 + 4*t^5.33 - t^6. + 7*t^6.67 - t^7.33 + 13*t^8. - 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - (2*t^6.33)/y - t^7./y - (3*t^7.67)/y - t^3.67*y - t^4.33*y - 2*t^6.33*y - t^7.*y - 3*t^7.67*y + t^8.*y^2	2*t^2.67 + 2*t^4. + (g1*t^4.)/g2 + (g2*t^4.)/g1 + t^4.67 + 4*t^5.33 - 3*t^6. + t^6./g2^3 + t^6./(g1*g2^2) - (g1*t^6.)/g2 - (g2*t^6.)/g1 + g1*g2^2*t^6. + g2^3*t^6. + 3*t^6.67 + (2*g1*t^6.67)/g2 + (2*g2*t^6.67)/g1 + t^7.33 - (g1*t^7.33)/g2 - (g2*t^7.33)/g1 + 11*t^8. - t^8./g2^3 - t^8./(g1*g2^2) + (g1^2*t^8.)/g2^2 + (2*g1*t^8.)/g2 + (2*g2*t^8.)/g1 + (g2^2*t^8.)/g1^2 - g1*g2^2*t^8. - g2^3*t^8. - 4*t^8.67 + t^8.67/g2^3 + t^8.67/(g1*g2^2) - (g1*t^8.67)/g2 - (g2*t^8.67)/g1 + g1*g2^2*t^8.67 + g2^3*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - (2*t^6.33)/y - t^7./y - t^7.67/y - (g1*t^7.67)/(g2*y) - (g2*t^7.67)/(g1*y) - t^3.67*y - t^4.33*y - 2*t^6.33*y - t^7.*y - t^7.67*y - (g1*t^7.67*y)/g2 - (g2*t^7.67*y)/g1 + t^8.*y^2

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
60592	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$	0.8642	0.9336	0.9256	[X:[1.5556, 1.3333, 1.3333], M:[0.8889], q:[0.3333, 0.5556], qb:[1.4444, 0.3333], phi:[0.2222]]	2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y	detail	{a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 8/9, q1: 1/3, q2: 5/9, qb1: 13/9, qb2: 1/3, phi1: 2/9}

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
47949	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$	1.0833	1.1667	0.9286	[X:[1.5556, 1.3333], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]]	t^2.667 + t^3.333 + 4*t^4. + t^4.667 + 2*t^5.333 - t^3.667/y - t^4.333/y - t^3.667*y - t^4.333*y	detail	{a: 13/12, c: 7/6, X1: 14/9, X2: 4/3, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9}