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
2466	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$	0.7153	0.8819	0.811	[M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.2222], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]]	[M:[[1], [-1], [1], [-1], [0], [0], [0]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]]	1	{a: 103/144, c: 127/144, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, M7: 11/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$	0	2*t^2.333 + t^2.667 + 3*t^3. + 2*t^3.667 + 3*t^4.333 + 3*t^4.667 + 8*t^5. + 4*t^5.333 + 3*t^5.667 + 2*t^6.333 + 5*t^6.667 + 6*t^7. + 15*t^7.333 + 8*t^7.667 + 16*t^8. - 8*t^8.333 + 9*t^8.667 - t^4.333/y - (2*t^6.667)/y - t^7./y + (2*t^7.667)/y + (4*t^8.)/y + (6*t^8.333)/y + (3*t^8.667)/y - t^4.333*y - 2*t^6.667*y - t^7.*y + 2*t^7.667*y + 4*t^8.*y + 6*t^8.333*y + 3*t^8.667*y	t^2.333/g1 + g1*t^2.333 + t^2.667 + t^3. + t^3./g1 + g1*t^3. + 2*t^3.667 + t^4.333 + t^4.333/g1 + g1*t^4.333 + t^4.667 + t^4.667/g1^2 + g1^2*t^4.667 + 2*t^5. + t^5./g1^2 + (2*t^5.)/g1 + 2*g1*t^5. + g1^2*t^5. + 2*t^5.333 + t^5.333/g1^2 + g1^2*t^5.333 + t^5.667 + t^5.667/g1 + g1*t^5.667 - 2*t^6. + t^6./g1 + g1*t^6. + 2*t^6.333 + t^6.667 + t^6.667/g1^2 + t^6.667/g1 + g1*t^6.667 + g1^2*t^6.667 + t^7./g1^3 + (2*t^7.)/g1 + 2*g1*t^7. + g1^3*t^7. + 5*t^7.333 + t^7.333/g1^3 + (2*t^7.333)/g1^2 + (2*t^7.333)/g1 + 2*g1*t^7.333 + 2*g1^2*t^7.333 + g1^3*t^7.333 + t^7.667/g1^3 + t^7.667/g1^2 + (2*t^7.667)/g1 + 2*g1*t^7.667 + g1^2*t^7.667 + g1^3*t^7.667 + 4*t^8. + t^8./g1^3 + (2*t^8.)/g1^2 + (3*t^8.)/g1 + 3*g1*t^8. + 2*g1^2*t^8. + g1^3*t^8. - 2*t^8.333 - (3*t^8.333)/g1 - 3*g1*t^8.333 + t^8.667 + (2*t^8.667)/g1^2 + (2*t^8.667)/g1 + 2*g1*t^8.667 + 2*g1^2*t^8.667 - t^4.333/y - t^6.667/(g1*y) - (g1*t^6.667)/y - t^7./y + (2*t^7.667)/y + (2*t^8.)/(g1*y) + (2*g1*t^8.)/y + (2*t^8.333)/y + t^8.333/(g1^2*y) + t^8.333/(g1*y) + (g1*t^8.333)/y + (g1^2*t^8.333)/y + t^8.667/y + t^8.667/(g1*y) + (g1*t^8.667)/y - t^4.333*y - (t^6.667*y)/g1 - g1*t^6.667*y - t^7.*y + 2*t^7.667*y + (2*t^8.*y)/g1 + 2*g1*t^8.*y + 2*t^8.333*y + (t^8.333*y)/g1^2 + (t^8.333*y)/g1 + g1*t^8.333*y + g1^2*t^8.333*y + t^8.667*y + (t^8.667*y)/g1 + g1*t^8.667*y

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
4522	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$	0.6736	0.8194	0.822	[X:[1.3333], M:[0.8889, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.2222], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]]	3*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 5*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y	detail	{a: 97/144, c: 59/72, X1: 4/3, M1: 8/9, M2: 8/9, M3: 10/9, M4: 2/3, M5: 1, M6: 7/9, M7: 11/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, phi1: 4/9}
4525	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$	0.7052	0.865	0.8153	[M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.2222, 1.1111], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]]	2*t^2.333 + 3*t^3. + t^3.333 + 2*t^3.667 + 3*t^4.333 + 3*t^4.667 + 6*t^5. + 3*t^5.333 + 2*t^5.667 - t^4.333/y - t^4.333*y	detail	{a: 457/648, c: 1121/1296, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, M7: 11/9, M8: 10/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9}

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
1415	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.733	0.9136	0.8024	[M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]]	3*t^2.333 + t^2.667 + 3*t^3. + t^3.667 + 3*t^4.333 + 6*t^4.667 + 9*t^5. + 7*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y	detail	{a: 475/648, c: 74/81, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9}