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
47137	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6554	0.8429	0.7776	[M:[1.1512, 1.1163, 0.6976, 0.7675, 0.7675], q:[0.4825, 0.3663], qb:[0.4012, 0.75], phi:[0.5]]	[M:[[3], [-1], [-6], [2], [2]], q:[[-2], [-1]], qb:[[3], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}$	-3	t^2.093 + 3*t^2.302 + t^3. + 2*t^3.349 + 2*t^3.454 + t^3.802 + t^4.046 + t^4.151 + t^4.186 + 4*t^4.395 + 6*t^4.605 + t^5.093 + 3*t^5.302 + 2*t^5.442 + 2*t^5.546 + 5*t^5.651 + 5*t^5.756 - 3*t^6. + 2*t^6.105 + t^6.139 + t^6.279 + 2*t^6.349 + 3*t^6.454 + 4*t^6.488 + 9*t^6.698 + 3*t^6.802 + 12*t^6.907 - t^7.046 - t^7.151 + t^7.186 + 3*t^7.395 + 2*t^7.535 + 6*t^7.605 + 2*t^7.639 + 5*t^7.744 + 4*t^7.849 + 8*t^7.954 + 9*t^8.058 - 3*t^8.093 - t^8.198 + t^8.232 - 9*t^8.302 + t^8.372 + 3*t^8.407 + 3*t^8.442 + t^8.546 + 4*t^8.581 + 2*t^8.651 + 5*t^8.756 + 10*t^8.791 + 2*t^8.895 - t^4.5/y - t^6.593/y - (2*t^6.802)/y + t^7.046/y + t^7.151/y + (3*t^7.395)/y + (3*t^7.605)/y - t^7.849/y - t^7.954/y + t^8.093/y + (2*t^8.198)/y + (3*t^8.302)/y + t^8.407/y + (2*t^8.442)/y + (2*t^8.546)/y + (6*t^8.651)/y - t^8.686/y + (6*t^8.756)/y - t^8.895/y - t^4.5*y - t^6.593*y - 2*t^6.802*y + t^7.046*y + t^7.151*y + 3*t^7.395*y + 3*t^7.605*y - t^7.849*y - t^7.954*y + t^8.093*y + 2*t^8.198*y + 3*t^8.302*y + t^8.407*y + 2*t^8.442*y + 2*t^8.546*y + 6*t^8.651*y - t^8.686*y + 6*t^8.756*y - t^8.895*y	t^2.093/g1^6 + 3*g1^2*t^2.302 + t^3. + (2*t^3.349)/g1 + 2*g1^3*t^3.454 + g1^2*t^3.802 + t^4.046/g1^3 + g1*t^4.151 + t^4.186/g1^12 + (4*t^4.395)/g1^4 + 6*g1^4*t^4.605 + t^5.093/g1^6 + 3*g1^2*t^5.302 + (2*t^5.442)/g1^7 + (2*t^5.546)/g1^3 + 5*g1*t^5.651 + 5*g1^5*t^5.756 - 3*t^6. + 2*g1^4*t^6.105 + t^6.139/g1^9 + t^6.279/g1^18 + (2*t^6.349)/g1 + 3*g1^3*t^6.454 + (4*t^6.488)/g1^10 + (9*t^6.698)/g1^2 + 3*g1^2*t^6.802 + 12*g1^6*t^6.907 - t^7.046/g1^3 - g1*t^7.151 + t^7.186/g1^12 + (3*t^7.395)/g1^4 + (2*t^7.535)/g1^13 + 6*g1^4*t^7.605 + (2*t^7.639)/g1^9 + (5*t^7.744)/g1^5 + (4*t^7.849)/g1 + 8*g1^3*t^7.954 + 9*g1^7*t^8.058 - (3*t^8.093)/g1^6 - t^8.198/g1^2 + t^8.232/g1^15 - 9*g1^2*t^8.302 + t^8.372/g1^24 + 3*g1^6*t^8.407 + (3*t^8.442)/g1^7 + t^8.546/g1^3 + (4*t^8.581)/g1^16 + 2*g1*t^8.651 + 5*g1^5*t^8.756 + (10*t^8.791)/g1^8 + (2*t^8.895)/g1^4 - t^4.5/y - t^6.593/(g1^6*y) - (2*g1^2*t^6.802)/y + t^7.046/(g1^3*y) + (g1*t^7.151)/y + (3*t^7.395)/(g1^4*y) + (3*g1^4*t^7.605)/y - t^7.849/(g1*y) - (g1^3*t^7.954)/y + t^8.093/(g1^6*y) + (2*t^8.198)/(g1^2*y) + (3*g1^2*t^8.302)/y + (g1^6*t^8.407)/y + (2*t^8.442)/(g1^7*y) + (2*t^8.546)/(g1^3*y) + (6*g1*t^8.651)/y - t^8.686/(g1^12*y) + (6*g1^5*t^8.756)/y - t^8.895/(g1^4*y) - t^4.5*y - (t^6.593*y)/g1^6 - 2*g1^2*t^6.802*y + (t^7.046*y)/g1^3 + g1*t^7.151*y + (3*t^7.395*y)/g1^4 + 3*g1^4*t^7.605*y - (t^7.849*y)/g1 - g1^3*t^7.954*y + (t^8.093*y)/g1^6 + (2*t^8.198*y)/g1^2 + 3*g1^2*t^8.302*y + g1^6*t^8.407*y + (2*t^8.442*y)/g1^7 + (2*t^8.546*y)/g1^3 + 6*g1*t^8.651*y - (t^8.686*y)/g1^12 + 6*g1^5*t^8.756*y - (t^8.895*y)/g1^4

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
52702	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.6398	0.8273	0.7734	[M:[1.0714, 1.1429, 0.8571, 0.7143, 0.7143], q:[0.5357, 0.3929], qb:[0.3214, 0.75], phi:[0.5]]	3*t^2.143 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 4*t^4.714 + 4*t^5.143 + 5*t^5.357 + 6*t^5.571 + 4*t^5.786 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 28089/43904, c: 36321/43904, M1: 15/14, M2: 8/7, M3: 6/7, M4: 5/7, M5: 5/7, q1: 15/28, q2: 11/28, qb1: 9/28, qb2: 3/4, phi1: 1/2}

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
46552	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6373	0.8105	0.7863	[M:[1.1576, 1.1141, 0.6848, 0.7717], q:[0.4783, 0.3641], qb:[0.4076, 0.75], phi:[0.5]]	t^2.054 + 2*t^2.315 + t^3. + 2*t^3.342 + 2*t^3.473 + t^3.685 + t^3.815 + t^4.027 + t^4.109 + t^4.158 + 3*t^4.37 + 3*t^4.63 + t^5.054 + 2*t^5.315 + 2*t^5.397 + 2*t^5.527 + 3*t^5.658 + t^5.739 + 3*t^5.788 - t^6. - t^4.5/y - t^4.5*y	detail